最小２乗
法の結果を変数の定義域に入るように、最小２乗法の計算の中で誤差を計算するところで、変数が定義域を超えるあたりから、わざと誤差が大きくなるように、
誤差に大きな数を加えるようにしてみました。
下図の４つが、上から、l1,r1,l2,r2
の値に対する 誤差に加える（実際には、減算している）値をしめしています。比較するスペクトルはｄBを単位としているため、例えば、r1が 0.1
だと、誤差にさらに やく-56 dB を加えます。
加える値を与える式は
の形式のものを使っています。b0とb1で変数の限度値を決めます。また、 a0が大きいほど加える誤差量が急進に増加します。
上記の結果は、一応、定義域には入っています。
参考に、FFT分析スペクトルと３管模型からのスペクトルの比較のSCILABのデモ プログラム a_wavfile_edit_264b.sci を
載
せておきます。 入力は ３管模型用のo_sample.wav（「お」）を使います。 入力の音声サンプルは、その１のページにあります。
このプログラムを実
際に動作させるためには、
ご使用されるプログラミング環境に合わせて修正・変更・追加などが必要かもしれません。
また、バグが含まれている可能性があります。
万一、このデモンストレーション用プログラムを動作させる場合は、あなたの責任でおこなってくださいね。
//-----------------------------------------------------------------------------------------
// A .wav Edit and Compare with 2 tubes
model's wave or 3 tubes model's wave.
//
// a trial of leastsq method to estimate
tube model
parameters.
// Using focus weight to compare
(local)part of object, evaluation by siguma |wmf(i) *(x(i)-y(i))|^2
between spectrum
// And hoping into limit by
addition of (1 + exp( fact0 * x0)) * (1 + exp(fact0 * x1))
// for window scilab-4.1.2
//
//
.........................................................................................
// PLEASE PAY ATTENSION that this program may have some bugs and also
you may adjust program
// to fit your circumstances. If you use this program, everything
should be done at your own risk.
// Thanks.
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
T_DEMO=1; // set T_DEMO=1 for demonstration, beside set
T_DEMO=0 when normal
SEL_CODE=1; // dummy set
//
//--------------------------------------------------------------------
// Get Scilab Version
// global
scilab_version_number=4; // dummy set
//
ver0=getversion();
p0=strindex(ver0,'-');
p1=strindex(ver0,'.');
ver1=part(ver0,(p0(1)+1):(p1(1)-1));
scilab_version_number=str2code(ver1)
//---------------------------------------------------------------------
// some functions to replace from scilab-4.1.2 to scilab-5.1.1
function [xmode00]=x_choose0(a,b,c)
if scilab_version_number >= 5 then
xmode00=x_choose(a,['Please select one and
double-click it'],c);
else
xmode00=x_choose(a,b,c);
end
endfunction
//----------------------------------------------------------------------
// Sound format has a difference among scilab version.
// for sound wav file
if scilab_version_number == 4 then
f412=1; // flag to detect scilab 4.1.2
f511=0;
elseif scilab_version_number >= 5 then
f412=1;
f511=1; // flag to detect scilab 5.1.1
else
f412=0;
f511=0;
end
//---------------------------------------------------------------------
// get Scilab current directory
getcwd
//===================================================================
// global variables No. 1
// for .wav 1
chs1=0; // channels
qty1=0; // data quantity, samples
size1=0; // actual loaded data quantity
fs1=0; // sampling frequency
bit1=0; // bits
wavfile1=''; // file name, this will be overwritten.
wdat1=zeros(1,10);// data of the .wav, only one first channel,
this will be overwritten.
// for fft
fft_point1=512;
db_fft1=zeros(1,512); // this will be overwritten.
phi_fft1=zeros(1,512); // this will be overwritten.
Min_Freq=150; // set plot maximum frequency by unit is [Hz]
Max_Freq=7500; // set plot maximum frequency by unit is [Hz]
// for display
width0=400; // default display width
ydat0=zeros(1,width0+1); // for all data
ydat1=zeros(1,width0+1); // for portion
xziku0=[0:1:width0]; // for all data
xziku1=[0:1:width0]; // for portion
sp1=1; // start point for actual
display
ep1=1; // end point for actual
display
// for others
defch1=1; // default channel 1
f_win=1; // flag if windows
//---------------------------------------
//
function save_wavprop()
save('wavprop.dat',fs1,size1,bit1,wdat1,sp1,ep1,ydat0,ydat1,xziku0,xziku1);
endfunction
function
[fs1,size1,bit1,wdat1,sp1,ep1,ydat0,ydat1,xziku0,xziku1]=load_wavprop()
load('wavprop.dat','fs1','size1','bit1','wdat1','sp1','ep1','ydat0','ydat1','xziku0','xziku1');
endfunction
//
function save_wfft()
save('wavfft.dat',fft_point1,db_fft1,phi_fft1);
endfunction
function [fft_point1,db_fft1,phi_fft1]=load_wfft()
load('wavfft.dat','fft_point1','db_fft1','phi_fft1');
endfunction
//
//--------------------------------------
function [wavfile1,chs1,qty1,fs1,bit1,f412,SEL_CODE]=get_wavfile_pro()
// choose wave file
if T_DEMO == 1 then
//+ select
SEL_CODE=x_choose0(['a_sample';'o_sample'; 'manual
select'],['Please select one'],'default')
if SEL_CODE == 3 then // when manual select
SEL_CODE = 999;
elseif SEL_CODE <= 0 then
SEL_CODE=1;
end
//- select
if SEL_CODE == 1 then // a_sample
disp(' This is demonstration. Copy this file and
a_sample.wav to your scilab''s bin or home
directory.');
[x,ierr]=fileinfo('a_sample.wav');
xs=size(x);
if xs(1)==0 then
disp('Choose a_sample.wav file');
if scilab_version_number >= 5 then
wavfile1=uigetfile(["*.wav"],"","Choose a_sample.wav file");
else
wavfile1=tk_getfile(Title="Choose
a_sample.wav file");
end
else
wavfile1='a_sample.wav';
end
elseif SEL_CODE == 2 then // o_sample
disp(' This is demonstration. Copy this file and
o_sample.wav to your scilab''s bin or home
directory.');
[x,ierr]=fileinfo('o_sample.wav');
xs=size(x);
if xs(1)==0 then
disp('Choose o_sample.wav file');
if scilab_version_number >= 5 then
wavfile1=uigetfile(["*.wav"],"","Choose o_sample.wav file");
else
wavfile1=tk_getfile(Title="Choose
o_sample.wav file");
end
else
wavfile1='o_sample.wav';
end
else // include SEL_CODE == 999
if scilab_version_number >= 5 then
wavfile1=uigetfile(["*.wav"],"","Choose a .wav
file");
else
wavfile1=tk_getfile(Title="Choose a .wav file name");
end
end
else
if scilab_version_number >= 5 then
wavfile1=uigetfile(["*.wav"],"","Choose a .wav
file");
else
wavfile1=tk_getfile(Title="Choose a .wav file name");
end
SEL_CODE = 999;
end
// read channels and samples
cs1=wavread(wavfile1,'size');
chs1=cs1(2); // channel
qty1=cs1(1); // samples
//...
if chs1 > 2 then // invert data for scilab-4.1.2
chs1=cs1(1);
qty1=cs1(2);
f412=1;
else
f412=0;
end
//...
[y,fs1,bit1]=wavread(wavfile1,[1 1]);
endfunction
//--------------------------------------
// function display the .wav property
function disp_pro_wav()
disp(qty1,'data quantity',bit1,
'bits',chs1,'channels',fs1,'sampling frequency');
endfunction
//--------------------------------------
function [wdat1, size1]=read_one_ch_of_wav(wavfile1)
y=wavread(wavfile1);
ysize=size(y);
if ysize(2) == chs1 then
wdat1=zeros(1,ysize(1));
if chs1 == 1 then
// for v=1:ysize(1)
// wdat1(v)=y(v);
// end
wdat1=y';
else
disp('Channels are more than two, but, only 1st
channel is stored.');
for v=1:ysize(1)
wdat1(v)=y(v,defch1);
end
end
size1=ysize(1);
disp(size1,'stored data size is');
elseif ysize(1) == chs1 then // for scilab-4.1.2
wdat1=zeros(1,ysize(2));
if chs1 == 1 then
// for v=1:ysize(2)
// wdat1(v)=y(v);
// end
wdat1=y;
else
disp('Channels are more than two, but, only 1st
channel is stored.');
for v=1:ysize(2)
wdat1(v)=y(defch1,v);
end
end
size1=ysize(2);
disp(size1,'stored data size is');
end
endfunction
//-----------------------------------------------
function plot_wave1(disp0)
wb0=xget('window'); // stack old window
xset('window',disp0); // create new windows
clf();
subplot(211);
//plot(xziku0,ydat0,'b');
plot2d(xziku0,ydat0,style=[color("blue")]);
xtitle('waveform all');
// When linux scilab-3.1 2nd subplot does not work well.
subplot(212);
//plot(xziku1,ydat1,'b');
plot2d(xziku1,ydat1,style=[color("blue")]);
xtitle('waveform selected');
xset('window',wb0); // push old windows
endfunction
//--------------------------------------
function [ydat1,xziku1]=make_width_data( work1, wsize1)
wsize2=wsize1 - sp1 + 1;
wsize3=ep1-sp1+1;
if wsize3 > (width0+1) then
wstep1= wsize3 / (width0+1);
for v=1:(width0+1)
ydat1(v)= work1( sp1 + int(wstep1 * (v - 1)));
xziku1(v)= sp1 + int(wstep1 * (v - 1));
end
else
for v=1:(width0+1)
if v <= wsize3 then
ydat1(v)=work1((sp1-1)+v);
else
ydat1(v)=0.;
end
xziku1(v)=(sp1-1)+v;
end
end
//
// plot_wave1(0);
endfunction
//----------------------------------------------------------------
function [wsp1, wep1]= reset_sp1_ep1(wsize1)
wsp1=1;
wep1=wsize1;
endfunction
//----------------------------------------------------------------
function [wsp1, wep1]= set_sp1_ep1(wsize1)
txt1=['start point';'end point'];
wstr1=sprintf('%d',sp1);
wstr2=sprintf('%d',ep1);
sig1=x_mdialog('Input start point and end point for portion
display.',txt1, [wstr1 ; wstr2 ]);
if sig1==[] then
arg1=evstr(wstr1);
arg2=evstr(wstr2);
else
arg1=evstr(sig1(1));
arg2=evstr(sig1(2));
end
//
//disp(arg2,'arg2',arg1,'arg1');
//
wsp1=sp1;
wep1=ep1;
if arg1 >= 1 then
if arg2 <= wsize1 then
if arg1 < arg2 then
wsp1=arg1;
wep1=arg2;
disp(wep1,'ep1',wsp1,'sp1');
end
end
end
endfunction
//----------------------------------------------------------------
function snd_play1()
// this sound doesnot work well on windows scilab-3.1.1 and linux
scilab-3.1
// but, this sound works on windows scilab-4.1.2. But, linux
scilab-4.1.2 doesnot!
wdatw=zeros(ep1-sp1+1);
for v=sp1:ep1
wdatw(v-sp1+1)=wdat1(v);
end
if f_win == 1 then
if f412 == 1 then // for windows scilab-4.1.2
sound(wdatw' ,fs1,bit1);
else
// for windows scilab-3.1.1
if fs1 == 22050 then
sound(wdatw,fs1,bit1);
disp('This function may work, if luckily.');
elseif fs1 == 44100 then // down-sampling from
44100 to 22050
wdatw2=zeros((ep1-sp1)/2+1);
for v=1:((ep1-sp1)/2+1)
wdatw2(v)=wdat1(sp1 + 2 * (v -1) );
end
disp('down-sampling from 44100 to 22050');
sound(wdatw2,22050,bit1);
disp('This function may work, if luckily.');
else
//sound(wdatw,fs1,bit1);
disp('This function does not work.');
end
end
else
disp('Sorry, but, this function does not work.');
end
endfunction
//
//----------------------------------------------------------------
function snd_save1()
//
wavefilename= input(' + enter file name for saved .wav file
=>',["string"]);
//
wdatw=zeros(ep1-sp1+1);
for v=sp1:ep1
wdatw(v-sp1+1)=wdat1(v);
end
if f412 == 1 then // for windows scilab-4.1.2
wavwrite(wdatw' ,fs1,bit1,wavefilename );
else
// for windows scilab-3.1.1
wavwrite(wdatw,fs1,bit1, wavefilename);
end
endfunction
//--- check platform is windows -----------------------------------
if isdir('c:\\') then
f_win=1;
else
f_win=0;
end
//
//=================================================================
//
// +MAIN (1)program starts
//
[wavfile1,chs1,qty1,fs1,bit1,f412,SEL_CODE]=get_wavfile_pro();
disp_pro_wav();
[wdat1, size1]=read_one_ch_of_wav(wavfile1);
sp1=1;
ep1=size1;
[ydat0,xziku0]=make_width_data( wdat1, size1);
if T_DEMO==1 then
if SEL_CODE == 1 then // a_sample
sp1=1900;
ep1=2413;
elseif SEL_CODE == 2 then // o_sample
sp1=2700;
ep1=3300;
else // include SEL_CODE == 999
[sp1, ep1]= set_sp1_ep1(size1);
end
end
[ydat1,xziku1]=make_width_data( wdat1, size1);
plot_wave1(0);
//
// -MAIN (1)program starts
// select .wav and set portion to make it fft
//==============================================================++=
//
//
//
function [fft_point1]=set_fft_points()
l1=list('points',3,['128','256','512','1024']);
wrep=x_choices('Select FFT points',list(l1));
//
fft_point1=512; // default
if wrep== 1 then
fft_point1=128;
elseif wrep== 2 then
fft_point1=256;
elseif wrep== 3 then
fft_point1=512;
elseif wrep== 4 then
fft_point1=1024;
end
endfunction
//----------------------------------------------------
function [frq1,sfrq1,is1,ie1]=set_frq( spec1024 )
// spec1024, tube model response no syuhasuu bunkainou wo agwru
tame
dfsw= fs1 / fft_point1;
is1= ceil(Min_Freq / dfsw);
ie1= int(Max_Freq / dfsw);
if spec1024 == 1024 then
dfsw2= fs1 / 1024.0;
else
dfsw2=dfsw;
end
frq1=[(dfsw * is1):dfsw2:(dfsw * ie1)];
frqs=size(frq1);
sfrq1=frqs(2);
endfunction
//-----------------------------------------------
function plot_fft1(disp0)
wb0=xget('window'); // stack old window
xset('window',disp0); // create new windows
[frq1,sfrq1,is1,ie1]=set_frq(0);
clf();
subplot(211);
gainplot(frq1,db_fft1,phi_fft1);
xtitle('frequency response of waveform selected by fft analysis');
subplot(212);
//plot(xziku1,ydat1,'b');
plot2d(xziku1,ydat1,style=[color("blue")]);
xtitle('waveform selected');
xset('window',wb0); // push old windows
endfunction
//----------------------------------------------------
function [db_fft1,phi_fft1]=do_fft_wav()
if size1 >= ( sp1 + fft_point1 - 1 ) then
win_hn=window('hn',fft_point1); // make hanning windows
data
wdatw=zeros(1, fft_point1);
for v=1:fft_point1
wdatw(v)=wdat1(sp1 + v - 1);
end
wdatw2= wdatw .* win_hn;
fftwout=fft( wdatw2, -1 );
//
[frq1,sfrq1,is1,ie1]=set_frq(0);
//
respw=zeros(1,sfrq1);
ct0=1;
for loop=is1:ie1
respw(ct0)=fftwout(loop+1);
ct0=ct0+1;
end
[db_fft1,phi_fft1] =dbphi(respw);
end // -if size1 <= ( sp1 + fft_point1 - 1 ) then
endfunction
//=================================================================
// peak detect on FFT spectrum
//
// (1)2-3 smoothing on FFT data / nizi sanzi
takousiki tekigou niyoru smoothing
// (2)differentiation (def) /
heikatsuka bibun
// (3)detect peak as the point from plus to minus
//
sn=0; // data quantity. this will be overwritten.
sm1=2; // set order of 2-3 smoothing
sm2=2; // set order of 5 points differentiation (def)
// if sm2=1, more peak
candidate may appear
// if sm2=2, sometime gentle
slop (nadaraka) peak will be lost
swnd= zeros(1,128); // swnd(1),swnd(2),.... this will be
overwritten.
sm1out=zeros(1,512); // this will be overwritten. calculate
weighted average
sm2out=zeros(1,512); // this will be overwritten. def of
sm1out
npk=0;
pklist=zeros(9,512); // nth, freq, its value of peak candinates
// nth, freq, its value of estimated left edge
// nth, freq, its value of estimated right edge
//------------------------------------------------------
function plot_fft_sm1(disp0)
[frq1,sfrq1,is1,ie1]=set_frq(0);
w0=xget('window');
xset('window',disp0);
clf();
subplot(211);
gainplot(frq1,db_fft1,phi_fft1);
//plot2d(frq1,db_fft1,color("black"),logflag="ln");
xtitle('frequency response of waveform selected by fft analysis');
plot2d(frq1,sm1out,color("green"),logflag="ln");
legend(['org'; 'smoothed'],3);
//xtitle('smoothed frequency response ');
subplot(212);
plot2d(frq1,sm2out,color("red"),logflag="ln");
xtitle('def of smoothed frequency response ');
xset('window',w0);
endfunction
//----------------------------------------------------------
function [sn,swnd,sm1out,sm2out,npk,pklist]=smooth1(disp_code)
// get db_fft1 data size
ax=size(db_fft1);
sn=ax(2);
swnd= zeros(1,128);
// preparetion smoothing 2-3
sm=sm1;
snorm=(4.0 * sm * sm - 1.0) * (2.0 * sm + 3.0 ) / 3.0;
sl=3.0 * sm * (sm + 1.0) -1.0;
for loop=1:(sm+1)
swnd(loop)= sl - 5.0 * (loop -1.0) * (loop - 1.0);
end
// calculate weighted average
sm1out=zeros(sn);
dmax0= 0.;
sigma0=0.;
ep0=0.;
for v=1:sn
if v < (sm+1) then
sm1out(v)=db_fft1(v);
elseif v > (sn-sm) then
sm1out(v)=db_fft1(v);
else
sum0 = db_fft1(v) * swnd(1);
for v2=1:sm
sum0 = sum0 + db_fft1(v+v2) *
swnd(1+v2);
sum0 = sum0 + db_fft1(v-v2) *
swnd(1+v2);
end
sm1out(v)= sum0 / snorm;
//
sa0=db_fft1(v) - sm1out(v);
sigma0=sigma0+sa0*sa0;
end
ep0=ep0+db_fft1(v);
if sm1out(v) > dmax0 then
dmax0= sm1out(v);
end
end
//
// calculate def of smoothed
sm=sm2;
sm2out=zeros(sn);
for v=1:sn
if v<(sm+1) then
sm2out(v)=0.;
elseif v>(sn-sm) then
sm2out(v)=0.;
else
sm2out(v)=0.;
for v2=1:sm
sm2out(v)=sm2out(v)+ ( sm1out(v+v2) -
sm1out(v-v2)) * v2;
end
end
end
// find from + to - in def
pklist=zeros(9,sn);
[frq1,sfrq1,is1,ie1]=set_frq(0);
npk=0;
for v=2:sn
if sm2out(v-1) > 0 then
if sm2out(v) < 0 then
dmax1=-9999.0;
stack_v=-1;
//.. ..
for v2=(v-sm):(v+sm)
if v2 < 1 then
elseif v2 > sn then
else
if db_fft1(v2)
> dmax1 then
dmax1=db_fft1(v2);
stack_v=v2;
end
end
end
//.. ..
if stack_v > 0 then
npk=npk+1;
pklist(1,npk)=stack_v;
pklist(2,npk)=frq1(stack_v);
pklist(3,npk)=dmax1;
end
end
end
end
// find left edge estimated based on smoothed signal
for loop=1:npk
if pklist(1,loop) == 1 then
pklist(4,loop) = 1;
pklist(5,loop) = frq1(1);
pklist(6,loop) = sm1out(1);
else
pklist(4,loop) = 1;
pklist(5,loop) = frq1(1);
pklist(6,loop) = sm1out(1);
for v=pklist(1,loop):-1:2
if sm1out(v-1) > sm1out(v) then
pklist(4,loop) = v;
pklist(5,loop) = frq1(v);
pklist(6,loop) = sm1out(v);
break;
end
end
end
end // for loop=1:npk
//..
// find right edge estimated based on smoothed signal
for loop=1:npk
if pklist(1,loop) == sn then
pklist(7,loop) = sn;
pklist(8,loop) = frq1(sn);
pklist(9,loop) = sm1out(sn);
else
pklist(7,loop) = sn;
pklist(8,loop) = frq1(sn);
pklist(9,loop) = sm1out(sn);
for v=pklist(1,loop):1:(sn-1)
if sm1out(v+1) > sm1out(v) then
pklist(7,loop) = v;
pklist(8,loop) = frq1(v);
pklist(9,loop) = sm1out(v);
break;
end
end
end
end // for loop=1:npk
//...
if disp_code == 1 then
disp('');
//-- peak candinate list out
disp('-- peak candinate list out --');
disp('-- peak [Hz] [dB] left edge [Hz] [dB] right
edge [Hz] [dB] --');
for v=1:npk
// disp([pklist(1,v) pklist(2,v) pklist(3,v)]);
disp([ pklist(2,v) pklist(3,v) pklist(5,v)
pklist(6,v) pklist(8,v) pklist(9,v)]);
end
//-- peak candinate list out
disp('');
end
endfunction
//
//=================================================================
//
// +MAIN (2)program starts
// about fft
if T_DEMO==1 then
[db_fft1, phi_fft1]=do_fft_wav();
plot_fft1(1);
//
[sn,swnd,sm1out,sm2out,npk,pklist]=smooth1(1);
plot_fft_sm1(2);
end
//
// -MAIN (2)program starts
//
//==============================================================++=
//
//
// global variables No. 2
//
c0=35000; // constant. the speed of sound is round
35000 cm/second
ts=1.0 / fs1;
//
L1=1; // this will be overwritten.
L2=1; // this will be overwritten.
L3=1; // this will be overwritten.
A1=1; // this will be overwritten.
A2=1; // this will be overwritten.
A3=1; // this will be overwritten.
//
ttl_Length=18.5; // set total length of combined tubes, Two
Tubes, and
etc
ttl_Area=10; // a constant in this program. set
total area of combined tubes, Two Tubes, and etc for dummy display
l1=0; // this will be overwritten.
l2=0; // this will be overwritten.
rg=1; // a constant in this program. When glottis
r1=0.8; // this will be overwritten.
r2=0.8; // this will be overwritten.
rl=0.9; // set adjust reduction response. rl is variable,
however use one constant in this.
fc=1000; // this will be overwritten. set cut off frequency
of High Pass Filter by unit is [Hz]
trise=6.0; // this will be overwritten.
//tfall=0.7; // this will be overwritten.
tfall=2.0; // this will be overwritten.
tclosed=5.0; // use ONLY in waveform making
//
yg_res1= ones(1,1024); // this will be overwritten.
tube2_res1= ones(1,1024); // this will be overwritten.
hpf_res1= ones(1,1024); // this will be overwritten.
overall_res1=zeros(1,1024); // this will be overwritten.
db_2tube=zeros(1,1024); // this will be overwritten.
phi_2tube=zeros(1,1024); // this will be overwritten.
//
// others
WT_QTY=2; // WT_QTY=2: standard 2 tubes model
N_REPEAT=7; // how many section to generate waveform ?
Wtubepropdat= 'tubeprop.dat';
//
//
//--------------------------------------------------------------------------
function save_2tube()
save(Wtubepropdat,L1,L2,L3,A1,A2,A2,ttl_Length,ttl_Area,l1,l2,rg,r1,r2,fc,trise,tfall,tclosed,yg_res1,tube2_res1,hpf_res1,overall_res1,db_2tube,phi_2tube,WT_QTY);
endfunction
function
[L1,L2,L3,A1,A2,A3,ttl_Length,ttl_Area,l1,l2,rg,r1,r2,fc,trise,tfall,tclosed,yg_res1,tube2_res1,hpf_res1,overall_res1,db_2tube,phi_2tube,WT_QTY]=load_2tube()
load(Wtubepropdat,'L1','L2','L3','A1','A2','A3','ttl_Length','ttl_Area','l1','l2','rg','r1','r2','fc','trise','tfall','tclosed','yg_res1','tube2_res1','hpf_res1','overall_res1','db_2tube','phi_2tube','WT_QTY');
endfunction
//
function [WT_QTY]= set_tube_model()
l1=list('model',(WT_QTY-1),['2 tubes','3 tubes serial
type']);
//l1=list('model',1,['2 tubes']);
wrep=x_choices('Select tube model',list(l1));
//
if wrep== 1 then
WT_QTY=2;
elseif wrep== 2 then
WT_QTY=3;
end
endfunction
//
//-------------------------------------------------
function [r1,r2,l1,l2,ttl_Length,fc,trise,tfall,tclosed]=
set_2tube_para()
wstr1=sprintf('%f',r1);
wstr2=sprintf('%f',l1);
wstr3=sprintf('%f',ttl_Length);
wstr4=sprintf('%f',fc);
wstr5=sprintf('%f',trise);
wstr6=sprintf('%f',tfall);
wstr7=sprintf('%f',tclosed);
wstr8=sprintf('%f',r2);
wstr9=sprintf('%f',l2);
//
if WT_QTY == 3 then
txt1=['r1';'l1'; 'r2'; 'l2'; 'total_tube_Length'; 'fc'; 'trise';
'tfall' ; 'tclosed (use only for generation)'];
sig1=x_mdialog('Input parameters',txt1, [wstr1 ; wstr2 ; wstr8 ;
wstr9; wstr3 ; wstr4; wstr5; wstr6; wstr7 ]);
if sig1==[] then
r1=evstr(wstr1);
l1=evstr(wstr2);
r2=evstr(wstr8);
l2=evstr(wstr9);
ttl_Length=evstr(wstr3);
fc=evstr(wstr4);
trise=evstr(wstr5);
tfall=evstr(wstr6);
tclosed=evstr(wstr7);
else
r1=evstr(sig1(1));
l1=evstr(sig1(2));
r2=evstr(sig1(3));
l2=evstr(sig1(4));
ttl_Length=evstr(sig1(5));
fc=evstr(sig1(6));
trise=evstr(sig1(7));
tfall=evstr(sig1(8));
tclosed=evstr(sig1(9));
end
else
txt1=['r1';'l1'; 'total_tube_Length'; 'fc'; 'trise'; 'tfall' ;
'tclosed (use only for generation)'];
sig1=x_mdialog('Input parameters',txt1, [wstr1 ; wstr2 ; wstr3 ;
wstr4; wstr5; wstr6; wstr7 ]);
if sig1==[] then
r1=evstr(wstr1);
l1=evstr(wstr2);
ttl_Length=evstr(wstr3);
fc=evstr(wstr4);
trise=evstr(wstr5);
tfall=evstr(wstr6);
tclosed=evstr(wstr7);
r2=evstr(wstr8);
l2=evstr(wstr9);
else
r1=evstr(sig1(1));
l1=evstr(sig1(2));
ttl_Length=evstr(sig1(3));
fc=evstr(sig1(4));
trise=evstr(sig1(5));
tfall=evstr(sig1(6));
tclosed=evstr(sig1(7));
r2=evstr(wstr8);
l2=evstr(wstr9);
end
end
endfunction
//
// Function plot sqrt(area) vs length
function plot_area(disp0)
wb0=xget('window'); // stack old window
xset('window',disp0); // create new windows
//
if f412 == 1 then
arrowsize1=20;
else
arrowsize1=1;
end
clf();
plot2d(0,0,1,"010","",[-5,-10,30,10],[5,5,4,5]); // wake wo egaku
if WT_QTY == 4 then //Three Tubes Model of T type
ya1=sqrt(A1);
ya2=sqrt(A2);
ya3=sqrt(A3);
if ya2 > ya1 then
yy0=ya2;
else
yy0=ya1;
end
yy0=10- (yy0 * 2);
// Area scale is double than other Tube Models.
yy1=ya1 + yy0;
yy2=ya2 + yy0;
yy3=yy0 - L3;
xx1=L1 - (ya3 / 2);
xx2=L1 + (ya3 / 2);
xp=[0 0 xx1 xx1
xx2 xx2 L1+L2 L1+L2 L1 L1 0
]';
yp=[yy1 yy0 yy0 yy3 yy3
yy0
yy0
yy2
yy2 yy1 yy1]';
xpolys( xp, yp, [5 5 5 5 5 5 5 5 5 5 5] );
xar=[-2 -0.5];
yar=[yy0+ ( ya1 / 2 ) yy0+ ( ya1 / 2 ) ];
xarrows(xar, yar, arrowsize1, 5);
yar=[yy0 + ( ya2 / 2 ) yy0+ ( ya2 / 2 ) ];
xar=[ L1+L2+0.5 L1+L2+2];
xarrows(xar, yar, arrowsize1, 5);
xstring(xx1, yy3 - 1, "CLOSED");
xstring(0,-9,"Attension: Area scale is double than others Tube Models");
//
elseif WT_QTY == 3 then //Three Tubes Model of serial type
ya1=sqrt(A1);
ya2=sqrt(A2);
ya3=sqrt(A3);
xp=[0 0 L1 L1 L1+L2 L1+L2
L1+L2+L3 L1+L2+L3 L1+L2 L1+L2 L1 L1 0 ]';
yp=[ya1 -ya1 -ya1
-ya2
-ya2 &
-ya3
-ya3 &
ya3
ya3
ya2
ya2 ya1 ya1 ]';
xpolys( xp, yp, [5 5 5 5 5 5 5 5 5 5 5 5] );
xar=[-2 -0.5];
yar=[0 0];
xarrows(xar, yar, arrowsize1, 5);
xar=[ L1+L2+L3+0.5 L1+L2+L3+2];
xarrows(xar, yar, arrowsize1, 5);
else //Two Tubes Model
ya1=sqrt(A1 );
ya2=sqrt(A2 );
xp=[0 0 L1 L1
L1+L2 L1+L2 L1 L1 0 ]';
yp=[ya1 -ya1 -ya1
-ya2
-ya2 &
ya2
ya2 ya1 ya1 ]';
xpolys( xp, yp, [5 5 5 5 5 5 5 5] );
xar=[-2 -0.5];
yar=[0 0];
xarrows(xar, yar, arrowsize1, 5);
xar=[ L1+L2+0.5 L1+L2+2];
xarrows(xar, yar, arrowsize1, 5);
if WT_QTY==5 then
xar=[ L1+L2-0.5 L1+L2-2];
xarrows(xar, yar, arrowsize1, 3);
end
end
xset('window',wb0); // push old windows
endfunction
//
//-------------------------------------------------
// +hpf
function [hpf_res1]=hpf_response( point0)
wc=2. * %pi * fc;
al1= -1. * %e^( -1. * wc * ts);
bl0= wc * ts;
// Then, convert them to high pass filter's coefficients
fnew=fc;
wcnew=2. * %pi * fnew;
alfa= -1. * cos( (wc + wcnew) * ts /2. ) / cos( (wc - wcnew) * ts
/ 2. );
// high pass filter's coefficients
bh0= bl0 / (1.0 - al1 * alfa);
bh1= alfa * bl0 / (1.0 - al1 * alfa);
ah1= (alfa - al1) / (1.0 - al1 * alfa);
// Function for disply high pass filter's frequency-phase response
[frq1,sfrq1,is1,ie1]=set_frq(point0);
hpf_res1=zeros(1,sfrq1);
for v=1:sfrq1
xw=2 * %pi * frq1(v);
yi= bh0 + bh1 * cos( xw * ts) - bh1 * sin( xw * ts ) * %i;
yb=1.0 + ah1 * cos( xw * ts ) - ah1 * sin( xw *
ts ) * %i;
hpf_res1(v)= yi /yb;
end
endfunction
// -hpf
//----------------------------------------------------------
//
//
function [ tube2_res1, L1, L2, L3, A1, A2, A3]= two_tubes2_resp()
if WT_QTY==3 then
//
// 3 tubes model definition
//
// L1+L2+L3 = ttl_Length (total tubes length)
//
// l1= (L2-L1)/(L2+L1)
// l2= (L3-L2)/(L3+L2)
//
// A1+A2+A3= ttl_Area
//
// r1= (A2-A1)/(A2+A1)
// r2= (A3-A2)/(A3+A2)
//
bunbo= l1 * l2 + ( l1 - l2 ) + 3.0;
L1= ttl_Length * ( l2 - 1.0 ) * (l1 - 1.0 ) / bunbo ;
L2= ttl_Length * ( l2 - 1.0 ) * ( -1.0 * l1 - 1.0 ) / bunbo ;
L3= ttl_Length * ( l2 + 1.0 ) * (l1 + 1.0 ) / bunbo ;
tu1=L1/c0;
tu2=L2/c0;
tu3=L3/c0;
bunbo= r1 * r2 + ( r1 - r2 ) + 3.0;
A1= ttl_Area * ( r2 - 1.0 ) * (r1 - 1.0 ) / bunbo ;
A2= ttl_Area * ( r2 - 1.0 ) * ( -1.0 * r1 - 1.0 ) / bunbo ;
A3= ttl_Area * ( r2 + 1.0 ) * (r1 + 1.0 ) / bunbo ;
[frq1,sfrq1,is1,ie1]=set_frq(1024);
tube2_res1=zeros(1,sfrq1);
for v=1:sfrq1
xw= 2 * %pi * frq1(v);
//+
yi = 0.5 * ( 1. + rg ) * ( 1. + r1) * ( 1. + r2) * (
1. + rl ) * %e^( -1. * ( tu1 + tu2 + tu3) * xw * %i);
yb = 1 + rg * r1 * %e^( -2 * tu1 * xw * %i) + r1 *
r2 * %e^( -2 * tu2 * xw * %i) + r2 * rl * %e^( -2 * tu3 * xw * %i);
yb = yb + rg * r2 * %e^( -2 * (tu1 + tu2) * xw * %i) + r1
* rl * %e^( -2 * (tu2 + tu3) * xw * %i);
yb = yb + rg * r1 * r2 * rl * %e^( -2 * (tu1 + tu3)
* xw * %i);
yb = yb + rg * rl * %e^( -2 * (tu1 + tu2 + tu3) * xw
* %i);
tube2_res1(v) = yi / yb;
//-
end
else
L2= ( 1. + l1 ) * ttl_Length / 2.;
L1= ttl_Length - L2;
tu1=L1/c0;
tu2=L2/c0;
A2= ( 1. + r1 ) * ttl_Area/ 2.;
A1= ttl_Area - A2;
//
[frq1,sfrq1,is1,ie1]=set_frq(1024);
tube2_res1=zeros(1,sfrq1);
for v=1:sfrq1
xw= 2 * %pi * frq1(v);
yi = 0.5 * ( 1 + rg ) * ( 1 + r1) * ( 1 + rl ) *
%e^( -1 * ( tu1 + tu2 ) * xw * %i);
yb = 1 + r1 * rg * %e^( -2 * tu1 * xw * %i) + r1 * rl *
%e^( -2 * tu2 * xw * %i) + rl * rg * %e^( -2 * (tu1 + tu2) * xw * %i);
tube2_res1(v) = yi / yb;
end
// +dummy data set
L3=1;
A3=1;
// -dummy data set
end
endfunction
//
// +yg response
function [yg_res1]=yg_resp(points)
N2= int( trise / 1000 / ts);
N3= int( tfall / 1000 / ts);
sizew=max((N2+N3+1),points);
yg=zeros(1,sizew);
//
for tc0=1:sizew
if tc0 <= (N2+1) then
yg(tc0)= 0.5 * ( 1 - cos( ( %pi / N2 ) * (tc0 - 1) )
);
elseif tc0<= (N2+N3+1) then
yg(tc0)= cos( ( %pi / ( 2 * N3 )) * ( tc0 - (N2+1) ) );
else
yg(tc0)=0.0;
end
end
[frq1,sfrq1,is1,ie1]=set_frq(points);
yg_res1=zeros(1,sfrq1);
// +do points(1024) fft and get portion of data
if sizew == points then
fftwout=fft( yg, -1 );
v=1;
is2= int(is1 * points / fft_point1);
ie2= int(ie1 * points / fft_point1);
for w=is2:ie2
yg_res1(v)=fftwout(is2+v) / fftwout(1);
v=v+1;
end
else // -do 1024 fft and get portion of data
//
y00=0.;
for v=1:(N2+N3+1)
y00= y00 + yg(v);
end
//
for w=1:sfrq1
xw=2 * %pi * frq1(w) * ts;
yi=0;
for v=1:(N2+N3+1)
yi= yi + yg(v) * %e^(-1. * xw * (v-1) * %i);
end // for v
yg_res1(w)=yi / y00;
end // for w
end
endfunction
// -yg response
//-------------------------------------------------
//
function [overall_res1,db_2tube, phi_2tube ]=overall_response()
[frq1,sfrq1,is1,ie1]=set_frq(1024);
for v=1:sfrq1
overall_res1(v)= hpf_res1(v) * tube2_res1(v) * yg_res1(v) ;
end
[db_2tube,phi_2tube] =dbphi(overall_res1);
endfunction
//-----------------------------------------------
function plot_2tube(disp0, kcode)
//
When kcode =0, normal, beside kcode=1, leastsq result
wb0=xget('window'); // stack old window
xset('window',disp0); // create new windows
[frq1,sfrq1,is1,ie1]=set_frq(0);
clf();
subplot(211);
gainplot(frq1,db_fft1,phi_fft1);
xtitle('frequency response of waveform selected by fft analysis');
[frq1,sfrq1,is1,ie1]=set_frq(1024);
subplot(212);
gainplot(frq1,db_2tube',phi_2tube');
if kcode == 0 then
xtitle('frequency response of tubes model by initial value for
comparison to one of waveform selected by fft analysis ');
elseif kcode == 1 then
xtitle('frequency response of tubes model by leastsq method
result from the initial value');
elseif kcode == 3 then
wstr0=' frequency response of tubes model';
wstr1=sprintf('%f',l1);
wstr2=sprintf('%f',r1);
wstr3=sprintf('%f',l2);
wstr4=sprintf('%f',r2);
if WT_QTY == 3 then
wstr5='l1=' + wstr1 + ' r1=' + wstr2 + ' l2='
+ wstr3 + ' r2=' + wstr4 + wstr0;
else // when WT_QTY == 2 then
wstr5='l1=' + wstr1 + ' r1=' + wstr2 + wstr0;
end
xtitle(wstr5);
end
xset('window',wb0); // push old windows
endfunction
//
//=================================================================
//
// +MAIN (3)program starts
// about matching to 2 tubes model
if T_DEMO==1 then
trise=6.0; // just fit for 1st demo version
tfall=0.7; // just fit for 1st demo version
if SEL_CODE == 1 then // a_sample
WT_QTY=2;
r1=0.8;
l1=0.;
ttl_Length=18.5;
elseif SEL_CODE == 2 then // o_sample
WT_QTY=3;
r1=-0.5;
l1=0.5;
r2=0.8;
l2=0.;
ttl_Length=23.;
else // include SEL_CODE == 999
[WT_QTY]= set_tube_model();
[r1,r2,l1,l2,ttl_Length,fc,trise,tfall,tclosed]=
set_2tube_para();
end
[yg_res1]=yg_resp(1024);
[ tube2_res1, L1, L2, L3, A1, A2, A3 ]= two_tubes2_resp();
[hpf_res1]=hpf_response(1024);
[overall_res1,db_2tube, phi_2tube ]=overall_response();
plot_2tube(3,0);
end
//
// -MAIN (3)program starts
//
//==============================================================++=
//
//
//-----------------------------------------------------------------
// global variables No. 3
//
yg= zeros(1,1024); // this will be overwritten.
y2tm= zeros(1,1024); // this will be overwritten.
y3out= zeros(1,1024); // this will be overwritten.
// other
amplitude= ones(1,2); // this will maybe be overwritten.
Wy3out_filename='dummy.wav';
//---------------------------------------------------------
function [N_REPEAT]= set_section_qty()
txt1=['sections quantity'];
wstr1=sprintf('%f',N_REPEAT);
sig1=x_mdialog('How many sections to generate',txt1, [wstr1]);
N_REPEAT=int(evstr(sig1(1)));
endfunction
//---------------------------------------------------------
function [yg,y2tm,y3out]= make_waveform()
L1z=zeros(1,N_REPEAT);
L2z=zeros(1,N_REPEAT);
L3z=zeros(1,N_REPEAT);
A1z=zeros(1,N_REPEAT);
A2z=zeros(1,N_REPEAT);
A3z=zeros(1,N_REPEAT);
trisez=zeros(1,N_REPEAT);
tfallz=zeros(1,N_REPEAT);
tclosedz=zeros(1,N_REPEAT);
amplitudez=ones(1,N_REPEAT);
for v=1:N_REPEAT
L1z(v)=L1;
L2z(v)=L2;
L3z(v)=L3;
A1z(v)=A1;
A2z(v)=A2;
A3z(v)=A3;
trisez(v)=trise;
tfallz(v)=tfall;
tclosedz(v)=tclosed;
end
//
if WT_QTY == 3 then //Three Tubes Model of serial type
tu1=L1z./c0; // delay time in 1st tube
tu2=L2z./c0; // delay time in 2nd tube
tu3=L3z./c0; // delay time in 3rd tube
r1z=(A2z-A1z)./(A2z+A1z); // reflection coefficient between
1st tube and 2nd tube
r2z=(A3z-A2z)./(A3z+A2z); // reflection coefficient between
2nd tube and 3rd tube
elseif WT_QTY == 4 then //Three Tubes Model of T type
tu1=L1z./c0; // delay time in 1st tube
tu2=L2z./c0; // delay time in 2nd tube
tu3=L3z./c0; // delay time in 3rd tube
r12z=((A2z+A3z)-A1z)./(A3z+A2z+A1z); // reflection
coefficient between 1st tube and others
r21z=(A2z-(A1z+A3z))./(A3z+A2z+A1z); // reflection
coefficient between 2nd tube and others
r31z=(A3z-(A1z+A2z))./(A3z+A2z+A1z); // reflection
coefficient between 3rd tube and others
else
//Two Tubes Model
tu1=L1z./c0; // delay time in 1st tube
tu2=L2z./c0; // delay time in 2nd tube
r1z=(A2z-A1z)./(A2z+A1z); // reflection coefficient between
1st tube and 2nd tube
end
//
disp('+++enter step 1 Input Glottal Volume Velocity
Generation');
D_QTY=N_REPEAT;
length0=0;
N1= zeros(1, D_QTY);
N2= zeros(1, D_QTY);
N3= zeros(1, D_QTY);
LL= zeros(1, D_QTY);
for loop=1:D_QTY
N1(loop)= int( tclosedz(loop) / 1000 / ts );
N2(loop)= int( trisez(loop) / 1000 / ts);
N3(loop)= int( tfallz(loop) / 1000 / ts);
LL(loop)= N1(loop)+N2(loop)+N3(loop);
length0 = length0 + LL(loop);
end
// yg is Glottal Volume Velocity. rg is reflection coefficient
between glottis and 1st tube
// reflection coefficient between glottis and 1st tube
rg_rise=0.9; // set some value (1. or
less) when glottis is opening
rg_fall=0.95; // set some value (1. or less)
when glottis is closing
rg_closed=rg; // When glottis is closed,
// reflection coefficient between glottis and 1st tube is 1
// because glottis's gate is closed and vocal tract is free from
glottis's influence
yg= zeros(1,length0+1);
rgz= zeros(1,length0+1);
tc0=1;
yg(tc0)=0.;
yg(tc0)=amplitudez(1) * yg(tc0);
for loop=1:D_QTY
for t0=1:int(LL(loop))
tc0=tc0+1;
if t0 < N1(loop) then
yg(tc0) =0;
rgz(tc0)=rg_closed;
elseif t0 <= (N2(loop) + N1(loop)) then
yg(tc0)= 0.5 * ( 1 - cos( ( %pi / N2(loop) ) * (t0 -
N1(loop)) ) );
rgz(tc0)=rg_rise;
elseif t0 <= (N3(loop)+N2(loop)+N1(loop)) then
yg(tc0)= cos( ( %pi / ( 2 * N3(loop) )) * ( t0 -
(N2(loop)+N1(loop)) ) );
rgz(tc0)=rg_fall;
else
yg(tc0) =0;
rgz(tc0)=rg_closed;
end
yg(tc0)=amplitudez(loop) * yg(tc0);
end // t0
end // loop
//
//
if WT_QTY == 3 then //Three Tubes Model of serial type
disp('+++enter step 2 Three Tubes Model of serial type for
Vocal Tract Calculation');
// yt is output of Two Tubes Model for Vocal Tract
M1= zeros(1, D_QTY);
M2= zeros(1, D_QTY);
M3= zeros(1, D_QTY);
y2tm= zeros(1,length0+1);
for loop=1:D_QTY
M1(loop)= int( tu1(loop) / ts ) + 1;
M2(loop)= int( tu2(loop) / ts ) + 1;
M3(loop)= int( tu3(loop) / ts ) + 1;
end
MAX_M1=M1(1);
MAX_M2=M2(1);
MAX_M3=M3(1);
for loop=1:D_QTY
if M1(loop) > MAX_M1 then
MAX_M1= M1(loop)
end
if M2(loop) > MAX_M2 then
MAX_M2= M2(loop)
end
if M3(loop) > MAX_M3 then
MAX_M3= M3(loop)
end
end
ya1= zeros(1,MAX_M1);
ya2= zeros(1,MAX_M1);
yb1= zeros(1,MAX_M2);
yb2= zeros(1,MAX_M2);
yc1= zeros(1,MAX_M3);
yc2= zeros(1,MAX_M3);
tc0=1;
ya1(tc0)=0.;
ya2(tc0)=0.;
yb1(tc0)=0.;
yb2(tc0)=0.;
yc1(tc0)=0.;
yc2(tc0)=0.;
y2tm(tc0)=0.;
for loop=1:D_QTY
for t0=1:int(LL(loop))
tc0=tc0+1;
for jl=MAX_M1:-1:2
ya1(jl)=ya1(jl-1);
ya2(jl)=ya2(jl-1);
end
for jl=MAX_M2:-1:2
yb1(jl)=yb1(jl-1);
yb2(jl)=yb2(jl-1);
end
for jl=MAX_M3:-1:2
yc1(jl)=yc1(jl-1);
yc2(jl)=yc2(jl-1);
end
ya1(1)= ((1. + rgz(tc0) ) / 2.) * yg(tc0) + rgz(tc0) *
ya2(M1(loop));
ya2(1)= -1. * r1z(loop) * ya1(M1(loop)) + ( 1. -
r1z(loop) ) * yb2(M2(loop));
yb1(1)= ( 1 + r1z(loop) ) * ya1(M1(loop)) + r1z(loop) *
yb2(M2(loop));
yb2(1)= -1. * r2z(loop) * yb1(M2(loop)) + ( 1. -
r2z(loop) ) * yc2(M3(loop));
yc1(1)= ( 1 + r2z(loop) ) * yb1(M2(loop)) + r2z(loop) *
yc2(M3(loop));
yc2(1)= -1. * rl * yc1(M3(loop));
y2tm(tc0)= (1 + rl) * yc1(M3(loop));
end // t0
end //loop
else //Two Tubes Model
disp('+++enter step 2 Two Tubes Model for Vocal Tract
Calculation');
// yt is output of Two Tubes Model for Vocal Tract
M1= zeros(1, D_QTY);
M2= zeros(1, D_QTY);
y2tm= zeros(1,length0+1);
for loop=1:D_QTY
M1(loop)= int( tu1(loop) / ts ) + 1;
M2(loop)= int( tu2(loop) / ts ) + 1;
end
MAX_M1=M1(1);
MAX_M2=M2(1);
for loop=1:D_QTY
if M1(loop) > MAX_M1 then
MAX_M1= M1(loop)
end
if M2(loop) > MAX_M2 then
MAX_M2= M2(loop)
end
end
ya1= zeros(1,MAX_M1);
ya2= zeros(1,MAX_M1);
yb1= zeros(1,MAX_M2);
yb2= zeros(1,MAX_M2);
tc0=1;
ya1(tc0)=0.;
ya2(tc0)=0.;
yb1(tc0)=0.;
yb2(tc0)=0.;
y2tm(tc0)=0.;
for loop=1:D_QTY
for t0=1:int(LL(loop))
tc0=tc0+1;
for jl=MAX_M1:-1:2
ya1(jl)=ya1(jl-1);
ya2(jl)=ya2(jl-1);
end
for jl=MAX_M2:-1:2
yb1(jl)=yb1(jl-1);
yb2(jl)=yb2(jl-1);
end
ya1(1)= ((1. + rgz(tc0) ) / 2.) * yg(tc0) + rgz(tc0) *
ya2(M1(loop));
ya2(1)= -1. * r1z(loop) * ya1(M1(loop)) + ( 1. -
r1z(loop) ) * yb2(M2(loop));
yb1(1)= ( 1 + r1z(loop) ) * ya1(M1(loop)) + r1z(loop) *
yb2(M2(loop));
yb2(1)= -1. * rl * yb1(M2(loop));
y2tm(tc0)= (1 + rl) * yb1(M2(loop));
end // t0
end //loop
end //End of Two Tubes model
//
disp('+++enter step 3 Output Sound Pressure for Two Tubes Model
for Vocal Tract Calculation');
// At first, low pass filter's coefficients
wcz=2. * %pi * fc;
al1= -1. * %e^( -1. * wcz * ts);
bl0= wcz * ts;
wc_org=wcz;
wc_new=2. * %pi * fc;
alfa=-1. * cos( (wc_org + wc_new) * ts /2. ) / cos( (wc_org
- wc_new) * ts / 2. );
// high pass filter's coefficients
bh0= bl0 / (1.0 - al1 * alfa);
bh1= alfa * bl0 / (1.0 - al1 * alfa);
ah1= (alfa - al1) / (1.0 - al1 * alfa);
// IIR type high pass filter
y3out= zeros(1,length0+1);
LI1=2;
LI2=2;
ya1= zeros(1,LI1);
yb1= zeros(1,LI2);
//loop
for loop=1:length0
ya1(LI1)=ya1(1);
yb1(LI2)=yb1(1);
ya1(1)=y2tm(loop);
yb1(1)= bh0 * ya1(1) + bh1 * ya1(LI1) - ah1 * yb1(LI2);
y3out(loop)=yb1(1);
end //loop
disp('--- Waveform Generation finished.');
endfunction // end ofmake_waveform()
//----------------------------------------------------------
function y3out_snd_play1()
// this sound doesnot work well on windows scilab-3.1.1 and linux
scilab-3.1
// but, this sound works on windows scilab-4.1.2. But, linux
scilab-4.1.2 doesnot!
sy3out=size(y3out);
y3outz=zeros(sy3out(2));
vm0=abs(y3out(1));
for v=1:sy3out(2)
if abs(y3out(v)) > vm0 then
vm0=abs(y3out(v));
end
end
if vm0 > 0 then
for v=1:sy3out(2)
y3outz(v)= y3out(v) / vm0;
end
end
if f_win == 1 then
if f412 == 1 then // for windows scilab-4.1.2
sound(y3outz' ,fs1,bit1);
else
// for windows scilab-3.1.1
if fs1 == 22050 then
sound(y3outz,fs1,bit1);
disp('This function may work, if luckily.');
elseif fs1 == 44100 then // down-sampling from
44100 to 22050
wdatw2=zeros((sy3out(2)/2));
for v=1:(sy3out(2)/2)
wdatw2(v)=y3outz(2 * (v -1) +1);
end
disp('down-sampling from 44100 to 22050');
sound(wdatw2,22050,bit1);
disp('This function may work, if luckily.');
else
//sound(wdatw,fs1,bit1);
disp('This function does not work.');
end
end
else
disp('If sound setting is good for scilab, this function maybe
work.');
if f412 == 1 then // for scilab-4.1.2
sound(y3outz' ,fs1,bit1);
else
// for scilab-3.1.1
if f511== 1 then // for windows scilab-5.1.1
sound(wdat2',fs1,bit1);
else
if fs1 == 22050 then
sound(y3outz,fs1,bit1);
disp('This function may work, if luckily.');
elseif fs1 == 44100 then //
down-sampling from 44100 to 22050
wdatw2=zeros((sy3out(2)/2));
for v=1:(sy3out(2)/2)
wdatw2(v)=y3outz(2 * (v -1) +1);
end
disp('down-sampling from 44100 to
22050');
sound(wdatw2,22050,bit1);
disp('This function may work, if
luckily.');
else
//sound(wdatw,fs1,bit1);
disp('This function does not work.');
end
end
end
end
endfunction
//---------------------------------------------------------
function y3out_snd_save1()
//
wavefilename= input(' + enter file name for saved .wav file
=>',["string"]);
//
sy3out=size(y3out);
y3outz=zeros(sy3out(2));
vm0=abs(y3out(1));
for v=1:sy3out(2)
if abs(y3out(v)) > vm0 then
vm0=abs(y3out(v));
end
end
if vm0 > 0 then
for v=1:sy3out(2)
y3outz(v)= y3out(v) / vm0;
end
end
//
if f412 == 1 then // for windows scilab-4.1.2
wavwrite(y3outz' ,fs1,bit1,wavefilename );
else
// for windows scilab-3.1.1
wavwrite(y3outz, fs1,bit1, wavefilename);
end
endfunction
//---------------------------------------------------------
function plot_waveform(disp0)
wb0=xget('window'); // stack old window
xset('window',disp0); // create new windows
clf();
if f412 == 1 then
plot(yg,'b');
plot(y3out,'r');
xtitle('generated wave by tubes model','Samples (Time)',
'Amplitude');
legend('Glottal Volume Velocity','Sound Pressure',2);
elseif f_win == 1 then
plot(yg,'b');
plot(y3out,'r');
xtitle('generated wave by tubes model','Samples (Time)',
'Amplitude');
legend('Glottal Volume Velocity','Sound Pressure',2);
else
ygs=size(yg);
xzikur=[1:1:ygs(2)];
//plot2d(xzikur,yg,style=[color("blue")]);
plot2d(xzikur,y3out,style=[color("red")]);
xtitle('generated wave by tubes model','Samples (Time)',
'Amplitude');
//legend('Glottal Volume Velocity','Sound Pressure',2);
end
xset('window',wb0); // push old windows
endfunction
//
//=================================================================
//
// +MAIN (5)program starts
// generation waveform
if T_DEMO==1 then
[yg,y2tm,y3out]= make_waveform();
plot_waveform(5);
end
//
// -MAIN (5)program starts
//
//==============================================================++=
//
//
//F_DUMP=0;
//if F_DUMP == 1 then
//// r1m=[-0.9:0.1:0.9];
//// l1m=[-0.8:0.1:0.8];
// r1m=[-0.5:0.5:0.5];
// l1m=[-0.5:0.5:0.5];
// sr1m=size(r1m);
// sl1m=size(l1m);
// //
// for v1=1:sr1m(2)
// for v2=1:sl1m(2)
// noz= (r1m(v1)+1.0) * 100.;
// noz= noz + (l1m(v2)+1.0) * 10000.;
// wstr1=sprintf('./wavdat/%i.wav',noz);
// wstr2=sprintf('./wavdat/%i.dat',noz);
// disp( wstr1);
// //
// r1=r1m(v1);
// l1=l1m(v2);
// [yg_res1]=yg_resp(1024);
// [ tube2_res1, L1, L2, L3, A1, A2, A3 ]=
two_tubes2_resp();
// [hpf_res1]=hpf_response(1024);
// [overall_res1,db_2tube, phi_2tube
]=overall_response();
// Wtubepropdat= wstr2;
// save_2tube();
// //
// [yg,y2tm,y3out]= make_waveform();
// Wy3out_filename=wstr1;
// y3out_snd_save1();
// end
// end
//end // if F_DUMP == 1 then
//
//-----------------------------------------------------------------
//=================================================================
//
// refrence: db_fft1 ,portion of fft point
fft_point1(=default value is 512)
// tube output: db_2tube ,portion of fft point
1024
//
//-----------------------------
// global
yg_res9=zeros(2,1); // dummy set
hpf_res9=zeros(2,1); // dummy set
wm8=ones(2,1); //
dummy set
wm9=ones(2,1); //
dummy set
tm8=ones(2,1); //
dummy set
x_init8=zeros(2,1); // dummy set
xopt=zeros(2,1); // dummy set
ym8=zeros(2,1); //
dummy set
ma0=['ttl_Length ' ;
'l1 ' ;
'r1 ' ;
'l2 ' ;
'r2 '];
//----------------------------------------------------------------
function [tm8, ym8, x_init8, wm9]=prepare8()
[frq1,sfrq1,is1,ie1]=set_frq(fft_point1);
wm9=ones(sfrq1,1);
ym8=zeros(sfrq1,1);
tm8=zeros(sfrq1,1);
for v=1:sfrq1
tm8(v)= 2 * %pi * frq1(v);
ym8(v)=db_fft1(v);
end
//.
if WT_QTY == 3 then
// when 3 tube model serial
x_init8=zeros(5,1);
x_init8(1,1)=ttl_Length;
x_init8(2,1)=l1;
x_init8(3,1)=r1;
x_init8(4,1)=l2;
x_init8(5,1)=r2;
else
// when 2 tube model
x_init8=zeros(3,1);
x_init8(1,1)=ttl_Length;
x_init8(2,1)=l1;
x_init8(3,1)=r1;
end
disp(' + prepare8 done');
endfunction
//----------------------------------------------------------------
function [yg_res9, hpf_res9]=prepare9()
yg_res9=yg_resp(fft_point1)';
hpf_res9=hpf_response(fft_point1)';
disp(' + prepare9 done');
endfunction
//-----------------------------------------------------------------
function [r1,r2,l1,l2,ttl_Length]=exchange8() // set leastsq
result as tube paras
ttl_Length=xopt(1);
l1=xopt(2);
r1=xopt(3);
if WT_QTY == 3 then
l2=xopt(4);
r2=xopt(5);
else
l2=0; // dummy set
r2=0.8; // dummy set
end
endfunction
function [r1,r2,l1,l2,ttl_Length]=exchange9() // set initial
value as tube paras
ttl_Length=x_init8(1);
l1=x_init8(2);
r1=x_init8(3);
if WT_QTY == 3 then
l2=x_init8(4);
r2=x_init8(5);
else
l2=0; // dummy set
r2=0.8; // dummy set
end
endfunction
//-----------------------------------------------------------------
//(1)test1
// (1 + exp( fact0 * x0)) * (1 + exp(fact0 * x1))
// x0=x - fact1, x1= fact2 -x
//
// ex: (1 + exp( 50 * (x - 0.9)) * (1 + exp( 50 * (-0.9 -x))
// When fact0 = 50, fact1 =
0.9, fact2 = -0.9
// hoping that -1 <
x < 1 ( fact2 ~< x ~< fact1 )
//
fact0=20.;
// for limit of 3 tubes model
fact1_3r1=-0.1;
fact2_3r1=-0.9;
fact1_3r2=0.9;
fact2_3r2=0.1;
fact1_3l1=0.9;
fact2_3l1=-0.9;
fact1_3l2=0.9;
fact2_3l2=-0.9;
// for limit of 2 tubes model
fact1_2r1=0.9;
fact2_2r1=-0.9;
fact1_2l1=0.9;
fact2_2l1=-0.9;
//
//
//---------------------------------------------
function
[act0,act1_3l1,act2_3l1,act1_3r1,act2_3r1,act1_3l2,act2_3l2,act1_3r2,act2_3r2,act1_2l1,act2_2l1,act1_2r1,act2_2r1]=
edit_limit0()
txt1=['exp(a0*x),a0=';'l1 plus';'l1 minus';'r1 plus';'r1
minus';'l2 plus';'l2 minus';'r2 plus';'r2 minus'];
txt2=['exp(a0*x),a0=';'l1 plus';'l1 minus';'r1 plus';'r1 minus'];
wstr1=sprintf('%f',fact0);
wstr2=sprintf('%f',fact1_3l1);
wstr3=sprintf('%f',fact2_3l1);
wstr4=sprintf('%f',fact1_3r1);
wstr5=sprintf('%f',fact2_3r1);
wstr6=sprintf('%f',fact1_3l2);
wstr7=sprintf('%f',fact2_3l2);
wstr8=sprintf('%f',fact1_3r2);
wstr9=sprintf('%f',fact2_3r2);
wstr10=sprintf('%f',fact1_2l1);
wstr11=sprintf('%f',fact2_2l1);
wstr12=sprintf('%f',fact1_2r1);
wstr13=sprintf('%f',fact2_2r1);
if WT_QTY == 3 then
sig1=x_mdialog('Set limit',txt1, [wstr1 ; wstr2 ;
wstr3 ; wstr4 ; wstr5 ; wstr6 ; wstr7 ; wstr8 ; wstr9 ]);
if sig1==[] then
act0=evstr(wstr1);
act1_3l1=evstr(wstr2);
act2_3l1=evstr(wstr3);
act1_3r1=evstr(wstr4);
act2_3r1=evstr(wstr5);
act1_3l2=evstr(wstr6);
act2_3l2=evstr(wstr7);
act1_3r2=evstr(wstr8);
act2_3r2=evstr(wstr9);
act1_2l1=fact1_2l1;
act2_2l1=fact2_2l1;
act1_2r1=fact1_2r1;
act2_2r1=fact2_2r1;
else
act0=evstr(sig1(1));
act1_3l1=evstr(sig1(2));
act2_3l1=evstr(sig1(3));
act1_3r1=evstr(sig1(4));
act2_3r1=evstr(sig1(5));
act1_3l2=evstr(sig1(6));
act2_3l2=evstr(sig1(7));
act1_3r2=evstr(sig1(8));
act2_3r2=evstr(sig1(9));
act1_2l1=fact1_2l1;
act2_2l1=fact2_2l1;
act1_2r1=fact1_2r1;
act2_2r1=fact2_2r1;
end
else // if WT_QTY == 2 then
sig1=x_mdialog('Set limit',txt2, [wstr1 ; wstr10 ;
wstr11 ; wstr12 ; wstr13 ]);
if sig1==[] then
act0=evstr(wstr1);
act1_2l1=evstr(wstr10);
act2_2l1=evstr(wstr11);
act1_2r1=evstr(wstr12);
act2_2r1=evstr(wstr13);
act1_3l1=fact1_3l1;
act2_3l1=fact2_3l1;
act1_3r1=fact1_3r1;
act2_3r1=fact2_3r1;
act1_3l2=fact1_3l2;
act2_3l2=fact2_3l2;
act1_3r2=fact1_3r2;
act2_3r2=fact2_3r2;
else
act0=evstr(sig1(1));
act1_2l1=evstr(sig1(2));
act2_2l1=evstr(sig1(3));
act1_2r1=evstr(sig1(4));
act2_2r1=evstr(sig1(5));
act1_3l1=fact1_3l1;
act2_3l1=fact2_3l1;
act1_3r1=fact1_3r1;
act2_3r1=fact2_3r1;
act1_3l2=fact1_3l2;
act2_3l2=fact2_3l2;
act1_3r2=fact1_3r2;
act2_3r2=fact2_3r2;
end
end
endfunction
//-----------------------------------------------------------------
function test_plot1exp(disp0)
wb0=xget('window'); // stack old window
xset('window',disp0); // create new windows
// dx0=[-1:0.1:1];
clf();
//subplot(311);
//dx0=[-1:0.1:(fact1_3r1+0.2)];
//plot2d( dx0,(1 + exp( fact0 * ( dx0 -
fact1_3r1))),style=[color("red")] );
//subplot(312);
//dx0=[(fact2_3r1-0.2):0.1:1];
//plot2d( dx0,(1 + exp( fact0 * ( fact2_3r1 -
dx0))),style=[color("blue")] );
//subplot(313);
if WT_QTY == 3 then
subplot(411);
dx0=[(fact2_3l1-0.2):0.1:(fact1_3l1+0.2)];
plot2d( dx0,(1 + exp( fact0 * ( dx0 - fact1_3l1))) .* (1 + exp(
fact0 * ( fact2_3l1 - dx0))),style=[color("red")] );
wstr0='decrease value depend on l1, hoping l1 inside the limit ';
xtitle(wstr0);
subplot(412);
dx0=[(fact2_3r1-0.2):0.1:(fact1_3r1+0.2)];
plot2d( dx0,(1 + exp( fact0 * ( dx0 - fact1_3r1))) .* (1 + exp(
fact0 * ( fact2_3r1 - dx0))),style=[color("red")] );
wstr0='decrease value depend on r1, hoping r1 inside the limit ';
xtitle(wstr0);
subplot(413);
dx0=[(fact2_3l2-0.2):0.1:(fact1_3l2+0.2)];
plot2d( dx0,(1 + exp( fact0 * ( dx0 - fact1_3l2))) .* (1 + exp(
fact0 * ( fact2_3l2 - dx0))) ,style=[color("red")] );
wstr0='decrease value depend on l2, hoping l2 inside the limit ';
xtitle(wstr0);
subplot(414);
dx0=[(fact2_3r2-0.2):0.1:(fact1_3r2+0.2)];
plot2d( dx0,(1 + exp( fact0 * ( dx0 - fact1_3r2))) .* (1 + exp(
fact0 * ( fact2_3r2 - dx0))),style=[color("red")] );
wstr0='decrease value depend on r2, hoping r2 inside the limit ';
xtitle(wstr0);
else //if WT_QTY == 2 then
subplot(211);
dx0=[(fact2_2l1-0.2):0.1:(fact1_2l1+0.2)];
plot2d( dx0,(1 + exp( fact0 * ( dx0 - fact1_2l1))) .* (1 + exp(
fact0 * ( fact2_2l1 - dx0))),style=[color("red")] );
wstr0='decrease value depend on l1, hoping l1 inside the limit ';
xtitle(wstr0);
subplot(212);
dx0=[(fact2_2r1-0.2):0.1:(fact1_2r1+0.2)];
plot2d( dx0,(1 + exp( fact0 * ( dx0 - fact1_2r1))) .* (1 + exp(
fact0 * ( fact2_2r1 - dx0))),style=[color("red")] );
wstr0='decrease value depend on r1, hoping r1 inside the limit ';
xtitle(wstr0);
end
xset('window',wb0); // push old windows
endfunction
//
//
//-----------------------------------------------------------------
// y = tube2_resp9(tm8, x_init8)
//
// [frq1,sfrq1,is1,ie1]=set_frq(fft_point1);
// clf();
// subplot(211);
// gainplot(frq1,y,phi_fft1);
//
function y = tube2_resp9(xw, pa) // when 2 tube model
L2= ( 1. + pa(2)) * pa(1) / 2.; // L2= ( 1. +
l1 ) * ttl_Length / 2.;
L1= pa(1) -
L2;
// L1= ttl_Length - L2;
tu1=L1/c0;
tu2=L2/c0;
A2= ( 1. + pa(3)) * ttl_Area/ 2.; // A2= ( 1. + r1 ) *
ttl_Area/ 2.;
A1= ttl_Area - A2;
yi = 0.5 * ( 1 + rg ) * ( 1 + pa(3)) * ( 1 +
rl ) * %e^( -1 * ( tu1 + tu2 ) .* xw * %i);
yb = 1 + pa(3) * rg * %e^( -2 * tu1 .* xw * %i) +
pa(3) * rl * %e^( -2 * tu2 .* xw * %i) + rl * rg * %e^( -2 * (tu1 +
tu2) .* xw * %i);
yc = yg_res9 .* hpf_res9 .* ( yi ./ yb) ;
y = 20. * log10(abs(yc));
y= y - ((1 + exp( fact0 * ( pa(3) - fact1_2r1))) *
(1 + exp( fact0 * ( fact2_2r1 - pa(3) ) ) )) *
wm9;
y= y - ((1 + exp( fact0 * ( pa(2) - fact1_2l1))) *
(1 + exp( fact0 * ( fact2_2l1 - pa(2) ) ) )) *
wm9;
endfunction
//--------------------------------
// y = tube3_resp9(tm8, x_init8)
//
// [frq1,sfrq1,is1,ie1]=set_frq(fft_point1);
// clf();
// subplot(211);
// gainplot(frq1,y,phi_fft1);
function y = tube3_resp9(xw, pa) // when 3 tube model serial
bunbo= pa(2) * pa(4) + ( pa(2) - pa(4) ) + 3.0; // bunbo=
l1 * l2 + ( l1 - l2 ) + 3.0;
L1= pa(1) * ( pa(4) - 1.0 ) * (pa(2) - 1.0 ) / bunbo ; // L1=
ttl_Length * ( l2 - 1.0 ) * (l1 - 1.0 ) / bunbo ;
L2= pa(1) * ( pa(4) - 1.0 ) * ( -1.0 * pa(2) - 1.0 ) / bunbo ;
// L2= ttl_Length * ( l2 - 1.0 ) * ( -1.0 * l1 - 1.0 ) / bunbo ;
L3= pa(1) * ( pa(4) + 1.0 ) * (pa(2) + 1.0 ) / bunbo ; // L3=
ttl_Length * ( l2 + 1.0 ) * (l1 + 1.0 ) / bunbo ;
tu1=L1/c0;
tu2=L2/c0;
tu3=L3/c0;
bunbo= pa(3) * pa(5) + ( pa(3) - pa(5) ) + 3.0; // bunbo= r1 *
r2 + ( r1 - r2 ) + 3.0;
A1= ttl_Area * ( pa(5) - 1.0 ) * (pa(3) - 1.0 ) / bunbo ; // A1=
ttl_Area * ( r2 - 1.0 ) * (r1 - 1.0 ) / bunbo ;
A2= ttl_Area * ( pa(5) - 1.0 ) * ( -1.0 * pa(3) - 1.0 ) / bunbo
; // A2= ttl_Area * ( r2 - 1.0 ) * ( -1.0 * r1 - 1.0 ) / bunbo ;
A3= ttl_Area * ( pa(5) + 1.0 ) * (pa(3) + 1.0 ) / bunbo ; // A3=
ttl_Area * ( r2 + 1.0 ) * (r1 + 1.0 ) / bunbo ;
yi = 0.5 * ( 1. + rg ) * ( 1. + pa(3)) * ( 1. +
pa(5)) * ( 1. + rl ) * %e^( -1. * ( tu1 + tu2 + tu3) .* xw * %i);
yb = 1 + rg * pa(3) * %e^( -2 * tu1 .* xw * %i) +
pa(3) * pa(5) * %e^( -2 * tu2 .* xw * %i) + pa(5) * rl * %e^( -2 * tu3
.* xw * %i);
yb = yb + rg * pa(5) * %e^( -2 * (tu1 + tu2) .* xw * %i) +
pa(3) * rl * %e^( -2 * (tu2 + tu3) .* xw * %i);
yb = yb + rg * pa(3) * pa(5) * rl * %e^( -2 * (tu1 +
tu3) .* xw * %i);
yb = yb + rg * rl * %e^( -2 * (tu1 + tu2 + tu3) .*
xw * %i);
yc = yg_res9 .* hpf_res9 .* ( yi ./ yb) ;
//(1)test1
// for r1
// yc = ( 1. / ((1 + exp( fact0 * ( pa(3) - fact1_3r1))) *
(1 + exp( fact0 * ( fact2_3r1 - pa(3))))) ) * yc;
y = 20. * log10(abs(yc));
y= y - ((1 + exp( fact0 * ( pa(3) - fact1_3r1))) *
(1 + exp( fact0 * ( fact2_3r1 - pa(3) ) ) )) *
wm9;
y= y - ((1 + exp( fact0 * ( pa(5) - fact1_3r2))) *
(1 + exp( fact0 * ( fact2_3r2 - pa(5) ) ) )) *
wm9;
y= y - ((1 + exp( fact0 * ( pa(2) - fact1_3l1))) *
(1 + exp( fact0 * ( fact2_3l1 - pa(2) ) ) )) *
wm9;
y= y - ((1 + exp( fact0 * ( pa(4) - fact1_3l2))) *
(1 + exp( fact0 * ( fact2_3l2 - pa(4) ) ) )) *
wm9;
endfunction
//-----------------------------------------------------------------
// e=myfun(x_init8, tm8, ym8, wm8)
function e = myfun(x, tm, ym, wm) // when 2 tube model
e = wm .*( tube2_resp9(tm, x) - ym )
endfunction
function e = myfun2(x, tm, ym, wm) // when 3 tube model
serial
e = wm .*( tube3_resp9(tm, x) - ym )
endfunction
//-----------------------------------------------------------------
function [fopt,xopt, grdopt]=leastsq_main1()
//
// check weight
a=0.;
s0=size(wm8);
wm8c=ones(s0(1),1);
for v=1:s0(1)
a=a+abs( wm8(v));
end
if a == 0. then
disp('+WARNING: set weight as all 1, because wm8 are all
0');
else
for v=1:s0(1)
wm8c(v)=wm8(v);
end
end
// 1- the simplest call
if WT_QTY == 3 then
// when 3 tube model serial
[fopt,xopt, grdopt] =
leastsq(list(myfun2,tm8,ym8,wm8c),x_init8);
else
// when 2 tube model
[fopt,xopt, grdopt] =
leastsq(list(myfun,tm8,ym8,wm8c),x_init8);
end
//... call
s0=size(xopt);
s0s=s0(1);
disp( 'initial value -> result value');
for v=1:s0s
wstr1=sprintf('%f',xopt(v));
wstr2=sprintf('%f',x_init8(v));
wstr3=' ' + ma0(v) + wstr2 + ' -> ' + wstr1;
disp(wstr3);
end
disp(' ');
endfunction
//-----------------------+++ ---- ++ ------------------------------
function [wm8]=reset_wm8()
[frq1,sfrq1,is1,ie1]=set_frq(fft_point1);
wm8=zeros(sfrq1,1);
// draw all 1
disp('+set weight all 0');
endfunction
//----------------
function plot_wm8(disp0)
wb0=xget('window'); // stack old window
xset('window',disp0); // create new windows
[frq1,sfrq1,is1,ie1]=set_frq(0);
clf();
subplot(211);
gainplot(frq1,db_fft1,phi_fft1);
xtitle('frequency response of waveform selected by fft analysis');
[frq1,sfrq1,is1,ie1]=set_frq(fft_point1);
subplot(212);
plot2d(frq1,wm8',style=[color("red")],logflag="ln",rect=[frq1(1),-1,frq1(sfrq1),2]);
wstr0=' wmf: weight for leastsq evalution ';
xtitle(wstr0);
xset('window',wb0); // push old windows
endfunction
//----------------------------------------------------------------
function [wm8c]= set_wm8( arg1, arg2, arg3)
[frq1,sfrq1,is1,ie1]=set_frq(fft_point1);
wm8c=zeros(sfrq1,1);
for v=1:sfrq1
wm8c(v)=wm8(v);
end
for v=1:sfrq1
if (frq1(v) >= arg1) & (frq1(v) <= arg2) then
wm8c(v)=arg3;
end
end
endfunction
//---------------------------------------------
function [wm8c]= edit_wm8()
txt1=['from (frequency)';'to (frequency)';'weight value'];
sp1=0.;
ep1=0.;
vl0=1.;
wstr1=sprintf('%f',sp1);
wstr2=sprintf('%f',ep1);
wstr3=sprintf('%f',vl0);
sig1=x_mdialog('Set weight value',txt1, [wstr1 ; wstr2 ;
wstr3]);
if sig1==[] then
arg1=evstr(wstr1);
arg2=evstr(wstr2);
arg3=evstr(wstr3);
else
arg1=evstr(sig1(1));
arg2=evstr(sig1(2));
arg3=evstr(sig1(3));
end
[wm8c]= set_wm8( arg1, arg2, arg3);
endfunction
//
//=================================================================
//
// +MAIN (4)program starts
// leastsq method to estimate tube model parameters
if T_DEMO==1 then
disp(' ');
disp('a trial of leastsq method to estimate tube model
parameters using focuus weight.');
disp(' ');
// once set wm8 as all ones
[wm8]=reset_wm8();
if SEL_CODE == 1 then // a_sample
[wm8]= set_wm8( 516.79688 ,1808.7891, 1.0 );
[wm8]= set_wm8( 2153.3203 ,3703.7109, 1.0);
plot_wm8(6);
elseif SEL_CODE == 2 then // o_sample
[wm8]= set_wm8( 172.26562, 1200. , 1.0 );
[wm8]= set_wm8( 1894.9219, 3703.7109, 1.0);
plot_wm8(6);
else // include SEL_CODE == 999
plot_wm8(6);
[wm8]= edit_wm8();
plot_wm8(6);
[wm8]= edit_wm8();
plot_wm8(6);
end
test_plot1exp(11);
[tm8, ym8, x_init8, wm9]=prepare8();
[yg_res9, hpf_res9]=prepare9();
[fopt,xopt, grdopt]=leastsq_main1();
// set result value
[r1,r2,l1,l2,ttl_Length]=exchange8();
[yg_res1]=yg_resp(1024);
[ tube2_res1, L1, L2, L3, A1, A2, A3 ]= two_tubes2_resp();
[hpf_res1]=hpf_response(1024);
[overall_res1,db_2tube, phi_2tube ]=overall_response();
plot_2tube(4,1);
// back to initial value
[r1,r2,l1,l2,ttl_Length]=exchange9();
[yg_res1]=yg_resp(1024);
[ tube2_res1, L1, L2, L3, A1, A2, A3 ]= two_tubes2_resp();
[hpf_res1]=hpf_response(1024);
[overall_res1,db_2tube, phi_2tube ]=overall_response();
end
//
// -MAIN (4)program starts
//
//==============================================================++=
//
//
//
//
//=======$======&==========================#=====================
//
// Add menu buttons of which name are 'a_plotwav' and ''
//
ADD_MENU_PLOT=1; // set ADD_MENU 1
to add menu button of some functions
//
//
if ADD_MENU_PLOT == 1 then
delmenu('step1_plotwav');
addmenu('step1_plotwav',[ '(0)read_wav' ; '(1)set_et_plot()';
'reset_plot()'; 'load_wavprop()'; 'save_wavprop()']);
step1_plotwav=[
'[wavfile1,chs1,qty1,fs1,bit1,f412,SEL_CODE]=get_wavfile_pro();
disp_pro_wav(); [wdat1, size1]=read_one_ch_of_wav(wavfile1); sp1=1;
ep1=size1; [ydat0,xziku0]=make_width_data( wdat1, size1);' ; '[sp1,
ep1]= set_sp1_ep1(size1); [ydat1,xziku1]=make_width_data( wdat1,
size1); plot_wave1(0);' ; '[sp1, ep1]= reset_sp1_ep1(size1);
[ydat1,xziku1]=make_width_data( wdat1, size1);' ;
'[fs1,size1,bit1,wdat1,sp1,ep1,ydat0,ydat1,xziku0,xziku1]=load_wavprop();
plot_wave1(0)' ; 'save_wavprop()'] ;
end //if ADD_MENU_PLOT == 1 then
//
//-----------------------------------------------------------------
//
ADD_MENU_FFT=1; // set ADD_MENU 1
to add menu button of some functions
//
//
if ADD_MENU_FFT == 1 then
delmenu('step2_fft');
addmenu('step2_fft',[ '(1)set points'; '(2)fft cal'; '(3)plot smooth,
peak candinate' ; 'load_wfft()'; 'save_wfft()']);
step2_fft=[ '[fft_point1]=set_fft_points()' ; '[db_fft1,
phi_fft1]=do_fft_wav(); plot_fft1(1)';
'[sn,swnd,sm1out,sm2out,npk,pklist]=smooth1(1); plot_fft_sm1(2)'
;'[fft_point1,db_fft1,phi_fft1]=load_wfft(); plot_fft1(1)' ;
'save_wfft()'] ;
end //if ADD_MENU_FFT == 1 then
//
//-----------------------------------------------------------------
//
ADD_MENU_TUBE2=1; // set ADD_MENU 1
to add menu button of some functions
//
//
if ADD_MENU_TUBE2 == 1 then
delmenu('step3_tubes');
addmenu('step3_tubes',[ '(1)set_tube_model()';
'(2)set_tube_initial_para()'; '(3)plot_tube_freq()'; 'plot_area(10)';
'load_tube()'; 'save_tube()'; 'plot_tube_freq_l1_r1']);
step3_tubes=[ '[WT_QTY]= set_tube_model()' ;
'[r1,r2,l1,l2,ttl_Length,fc,trise,tfall,tclosed]= set_2tube_para()';
'[yg_res1]=yg_resp(1024); [ tube2_res1, L1, L2, L3, A1, A2, A3 ]=
two_tubes2_resp(); [hpf_res1]=hpf_response(1024);
[overall_res1,db_2tube, phi_2tube ]=overall_response();
plot_2tube(3,0);' ; 'plot_area(10)';
'[L1,L2,L3,A1,A2,A3,ttl_Length,ttl_Area,l1,l2,rg,r1,r2,fc,trise,tfall,tclosed,yg_res1,tube2_res1,hpf_res1,overall_res1,db_2tube,phi_2tube,WT_QTY]=load_2tube();
plot_2tube(3,0);' ; 'save_2tube();' ; ' plot_2tube(3,3)'] ;
end //if ADD_MENU_TUBE2 == 1 then
//-----------------------------------------------------------------
//
ADD_MENU_LEASTSQURE=1; // set
ADD_MENU 1 to add menu button of some functions
//
//
if ADD_MENU_LEASTSQURE == 1 then
delmenu('step4_leastsq');
addmenu('step4_leastsq',[ '(0)set_weight_all_0' ; '(1)edit_plot_weight'
; '(2)edit_limit' ; '(3)do_leastsq' ; '(4)plot_freq' ;
'(4)set_result_as_initial_para' ; 'plot_1+exp_ 1+exp']);
step4_leastsq=['[wm8]=reset_wm8();' ; 'plot_wm8(6); [wm8]= edit_wm8();
plot_wm8(6);';
'[fact0,fact1_3l1,fact2_3l1,fact1_3r1,fact2_3r1,fact1_3l2,fact2_3l2,fact1_3r2,fact2_3r2,fact1_2l1,fact2_2l1,fact1_2r1,fact2_2r1]=
edit_limit0(); test_plot1exp(11);' ;' [tm8, ym8,
x_init8, wm9 ]=prepare8(); [yg_res9, hpf_res9]=prepare9(); [fopt,xopt,
grdopt]=leastsq_main1();' ; '[r1,r2,l1,l2,ttl_Length]=exchange8();
[yg_res1]=yg_resp(1024); [ tube2_res1, L1, L2, L3, A1, A2, A3 ]=
two_tubes2_resp(); [hpf_res1]=hpf_response(1024);
[overall_res1,db_2tube, phi_2tube ]=overall_response();
plot_2tube(4,1); [r1,r2,l1,l2,ttl_Length]=exchange9();
[yg_res1]=yg_resp(1024); [ tube2_res1, L1, L2, L3, A1, A2, A3 ]=
two_tubes2_resp(); [hpf_res1]=hpf_response(1024);
[overall_res1,db_2tube, phi_2tube
]=overall_response();';'[r1,r2,l1,l2,ttl_Length]=exchange8();' ;
'test_plot1exp(11);'];
end
//
//-----------------------------------------------------------------
//
ADD_MENU_GEN=1; // set ADD_MENU 1
to add menu button of some functions
//
//
if ADD_MENU_FFT == 1 then
delmenu('step5_generation');
if (f_win == 1) | (scilab_version_number >= 4) then
addmenu('step5_generation',[ '(1)set_section_qty()' ;
'(2)make_waveform()' ; 'plot_waveform()'; 'y3out_snd_play1()';
'y3out_snd_save1()' ]);
step5_generation=[ '[N_REPEAT]= set_section_qty()';
'[yg,y2tm,y3out]= make_waveform();' ; 'plot_waveform(5)';
'y3out_snd_play1()'; 'y3out_snd_save1()'] ;
else
addmenu('step5_generation',[ '(1)set_section_qty()' ;
'(2)make_waveform()' ; 'plot_waveform()'; 'y3out_snd_save1()' ]);
step5_generation=[ '[N_REPEAT]= set_section_qty()';
'[yg,y2tm,y3out]= make_waveform();' ; 'plot_waveform(5)';
'y3out_snd_save1()'] ;
end
end //if ADD_MENU_GEN == 1 then
//
//
//-----------------------------------------------------------------
//
if f_win == 1 then
ADD_MENU_SND=0;
else
ADD_MENU_SND=0; // set
ADD_MENU 1 to add menu button of some functions
end
//
//
if ADD_MENU_SND == 1 then
delmenu('sound_play');
addmenu('sound_play',[ 'snd_play1()' ; 'snd_save1()' ]);
sound_play=[ 'snd_play1()' ; 'snd_save1()' ] ;
end //if ADD_MENU_SND == 1 then
//
//==============================================================++=
//
//////addmenu('&go'); // only windows shortcut
can alt+()
No.3c 2009年７月6日