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LSP roots

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LSP roots

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07 Feb 2014 (Updated )

This exercise compares the properties of the LPC polynomial match to a frame of speech with the LSP.

Callbacks_lsp_roots_GUI25(f,C,start_path)
function Callbacks_lsp_roots_GUI25(f,C,start_path)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x=C{1,1};
y=C{1,2};
a=C{1,3};
b=C{1,4};
u=C{1,5};
v=C{1,6};
m=C{1,7};
n=C{1,8};
lengthbutton=C{1,9};
widthbutton=C{1,10};
enterType=C{1,11};
enterString=C{1,12};
enterLabel=C{1,13};
noPanels=C{1,14};
noGraphicPanels=C{1,15};
noButtons=C{1,16};
labelDist=C{1,17};%distance that the label is below the button
noTitles=C{1,18};
buttonTextSize=C{1,19};
labelTextSize=C{1,20};
textboxFont=C{1,21};
textboxString=C{1,22};
textboxWeight=C{1,23};
textboxAngle=C{1,24};
labelHeight=C{1,25};
fileName=C{1,26};

%SENSE COMPUTER AND SET FILE DELIMITER
switch(computer)				
    case 'MACI64',		char= '/';
    case 'GLNX86',  char='/';
    case 'PCWIN',	char= '\';
    case 'PCWIN64', char='\';
    case 'GLNXA64', char='/';
end

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%PANELS
for j=0:noPanels-1
uipanel('Parent',f,...
'Units','Normalized',...
'Position',[x(1+4*j) y(1+4*j) x(2+4*j)-x(1+4*j) y(3+4*j)-y(2+4*j)]);
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%GRAPHIC PANELS
for i=0:noGraphicPanels-1
switch (i+1)
case 1
graphicPanel1 = axes('parent',f,...
'Units','Normalized',...
'Position',[a(1+4*i) b(1+4*i) a(2+4*i)-a(1+4*i) b(3+4*i)-b(2+4*i)],...
'GridLineStyle','--');
case 2
graphicPanel2 = axes('parent',f,...
'Units','Normalized',...
'Position',[a(1+4*i) b(1+4*i) a(2+4*i)-a(1+4*i) b(3+4*i)-b(2+4*i)],...
'GridLineStyle','--');
case 3
graphicPanel3 = axes('parent',f,...
'Units','Normalized',...
'Position',[a(1+4*i) b(1+4*i) a(2+4*i)-a(1+4*i) b(3+4*i)-b(2+4*i)],...
'GridLineStyle','--');
case 4
graphicPanel4 = axes('parent',f,...
'Units','Normalized',...
'Position',[a(1+4*i) b(1+4*i) a(2+4*i)-a(1+4*i) b(3+4*i)-b(2+4*i)],...
'GridLineStyle','--');
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%TITLE BOXES
for k=0:noTitles-1
switch (k+1)
case 1
titleBox1 = uicontrol('parent',f,...
'Units','Normalized',...
'Position',[u(1+4*k) v(1+4*k) u(2+4*k)-u(1+4*k) v(3+4*k)-v(2+4*k)],...
'Style','text',...
'FontSize',textboxFont{k+1},...
'String',textboxString(k+1),...
'FontWeight',textboxWeight{k+1},...
'FontAngle',textboxAngle{k+1});
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%BUTTONS
for i=0:(noButtons-1)
enterColor='w';
if strcmp(enterType{i+1},'pushbutton')==1 ||strcmp(enterType{i+1},'text')==1
enterColor='default';
end
if (strcmp(enterLabel{1,(i+1)},'')==0 &&...
        strcmp(enterLabel{1,(i+1)},'...')==0) %i.e. there is a label
%creating a label for some buttons
uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i)-labelDist-labelHeight(i+1) ...
(m(2+2*i)-m(1+2*i)) labelHeight(i+1)],...
'Style','text',...
'String',enterLabel{i+1},...
'FontSize', labelTextSize(i+1),...
'HorizontalAlignment','center');
end
switch (i+1)
case 1
button1=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button1Callback);
case 2
button2=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button2Callback);
case 3
button3=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button3Callback);
case 4
button4=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button4Callback);
case 5
button5=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button5Callback);
case 6
button6=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button6Callback);
case 7
button7=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button7Callback);
case 8
button8=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button8Callback);
case 9
button9=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button9Callback);
case 10
button10=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button10Callback);
case 11
button11=uicontrol('Parent',f,...
'Units','Normalized',...
'Position',[m(1+2*i) n(1+2*i) (m(2+2*i)-m(1+2*i)) (n(2+2*i)-n(1+2*i))],...
'Style',enterType{i+1},...
'String',enterString{i+1},...
'FontSize', buttonTextSize(1+i),...
'BackgroundColor',enterColor,...
'HorizontalAlignment','center',...
'Callback',@button11Callback);
end
end

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%USER CODE FOR THE VARIABLES AND CALLBACKS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Initialize Variables
    curr_file=1;
    fs=8000;
    directory_name='abcd';
    wav_file_names='abce';
    fin_path='filename';
    fname='output';
    nsamp=1;
    ss=1;
    istart=1;
    Lm=40;
    L=640;
    Rm=10;
    R=100;
    wtype=1;
    nfft=2048;
    win=hamming(640);
    p=12;
    x=[];

% Name the GUI
    set(f,'Name','lsp_roots');

% CALLBACKS
% Callback for button1 -- Get Speech Files Directory
 function button1Callback(h,eventdata)
     directory_name=uigetdir(start_path,'dialog_title');
%        if isempty(getpref('SpeechApps'))
%          url = sprintf('%s%s%s',...
%              'http://www.mathworks.com/matlabcentral/fileexchange/',...
%              '42911-speech-and-audio-files-for-speech-processing-excercises',...
%              '?download=true');
%          [saveloc,~,~] = fileparts(pwd); %save to one level up from current folder
%          % Create a waitbar during download
%          h = waitbar(0.35,'This may take several minutes...',...
%              'Name','Downloading Speech Files...');
%          % Download the zipped file
%          [filestr,status] = urlwrite(url,[saveloc filesep 'speech_files.zip'],...
%              'Timeout',10);
%          if status
%              delete(h);
%              hh1= helpdlg('Downloaded. Select a location to UNZIP the speech files.');
%              uiwait(hh1);
%              unziploc = uigetdir(saveloc,'Select a location to unzip the speech files');
%              h2 = waitbar(0.2,'This may take a minute...',...
%                  'Name','Unzipping the Speech Files to Location Selected...');
%              unzip(filestr,unziploc);
%              delete(h2)
%              addpref('SpeechApps','path',unziploc);
%              hh2= helpdlg('Ready. Select the speech_files folder in the next window');
%              uiwait(hh2);
%          else
%              warndlg('No Internet Connection to MATLAB Central!');
%          end
%         
%      else
%      end
%      directory_name=uigetdir(getpref('SpeechApps','path'));
     A=strvcat(strcat((directory_name),[char,'*.wav']));
     struct_filenames=dir(A);
     wav_file_names={struct_filenames.name};
     set(button2,'String',wav_file_names);
     
% once the popupmenu/drop down menu is created, by default, the first
% selection from the popupmenu/drop down menu id not called
    indexOfDrpDwnMenu=1;
    
% by default first option from the popupmenu/dropdown menu will be loaded
    [curr_file,fs]=loadSelection(directory_name,wav_file_names,indexOfDrpDwnMenu);
 end

% Callback for button2 -- Choose speech file for play and plot
 function button2Callback(h,eventdata)
     indexOfDrpDwnMenu=get(button2,'val');
     [curr_file,fs]=loadSelection(directory_name,wav_file_names,indexOfDrpDwnMenu);
 end

%*************************************************************************
% function -- load selection from designated directory and file
%
function [curr_file,fs]=loadSelection(directory_name,wav_file_names,...
    indexOfDrpDwnMenu);
%
% read in speech/audio file
% fin_path is the complete path of the .wav file that is selected
    fin_path=strcat(directory_name,char,strvcat(wav_file_names(indexOfDrpDwnMenu)));
    
% clear speech/audio file
    clear curr_file;
    
% read in speech/audio signal into curr_file; sampling rate is fs 
    [curr_file,fs]=wavread(fin_path);
    
% create title information with file, sampling rate, number of samples
    fname=wav_file_names(indexOfDrpDwnMenu);
    FS=num2str(fs);
    nsamp=num2str(length(curr_file));
    file_info_string=strcat('  file: ',fname,', fs: ',FS,' Hz, nsamp:',nsamp);
    
% read in filename (fname) from cell array
    fname=wav_file_names{indexOfDrpDwnMenu};
    
% change fname character of '_' to ' '
    fname(find(fname(:) == '_'))=' ';
end

% Callback for button8 -- Play Speech File
    function button8Callback(h,eventdata)
        soundsc(curr_file,fs);
    end

% Callback for button3 -- wtype: window type (1:Hamming, 2:Rectangular)
 function button3Callback(h,eventdata)
     wtype=get(button3,'val');
 end

% Callback for button4 -- p: LPC system order
 function button4Callback(h,eventdata)
     p=str2num(get(button4,'string'));
     if ~((p >= 4 && p <= 32))
        waitfor(errordlg('p must be a positive integer between 4 and 32'))
        return;
     end
     p=round(p);
     set(button4,'string',num2str(p));
 end

% Callback for button5 -- Lm: frame length in msec; must be converted to
% samples at processing rate
 function button5Callback(h,eventdata)
     Lm=str2num(get(button5,'string'));
     if ~((Lm >= 1 && Lm <= 100))
        waitfor(errordlg('Lm must be a positive number between 1 and 100'))
        return;
     end
 end

% Callback for button9 -- Rm: frame shift in msec; must be converted to
% samples at processing rate
 function button9Callback(h,eventdata)
     Rm=str2num(get(button9,'string'));
     if ~((Rm >= 1 && Rm <= 100))
        waitfor(errordlg('Rm must be a positive number between 1 and 100'))
        return;
     end
 end

% Callback for button6 -- choose frame starting sample
 function button6Callback(h,eventdata)
    
% initialize signal processing parameters
    ss=1;
    istart=1;
    
% play out speech at rate fs
    x=curr_file;
    
% plot entire speech file on graphics Panel 3, and use graphics 
% cursor to find region of interest
    ss=plot_speech_cursor(x,ss,istart,graphicPanel3);
 end

% Callback for button10 -- begin processing on current frame
    function button10Callback(h,eventdata)
        
% check editable buttons for changes
    button3Callback(h,eventdata);
    button4Callback(h,eventdata);
    button5Callback(h,eventdata);
    button9Callback(h,eventdata);
        
% plot out expanded speech frame on graphics Panel 3, and use graphics 
% cursor to home in on region of interest and choose starting sample
% of speech analysis frame
    x=curr_file;
    plot_speech_frame(x,ss,L,graphicPanel3,wtype,fs);
    
% compute lpc and lsp roots and spectra
    [x,xs1,xs2,G,A,XP,XQ,L,P,Q]=lsp_analysis(curr_file,fs,ss,Lm,wtype,nfft,p);
    
% plot analysis frame waveform on graphics Panel 3, and 
% plot log magnitude spectrum of analysis frame on graphics Panel 2

% clear graphics Panel 3
    reset(graphicPanel3);
    axes(graphicPanel3);
    cla;
    
% plot analysis frame waveform on graphics Panel 3
    n=0:L-1;
    string=sprintf('file:%s, ss: %d, L=%d, p:%d',fname,ss,L,p);
    plot(n,x,'k','LineWidth',2),axis tight,grid on; legend('analysis frame');
    xpp=['Time in Samples;  fs=',num2str(fs),' samples/second'];
    xlabel(xpp);ylabel('Value');
    
% clear graphics Panel 2
    reset(graphicPanel2);
    axes(graphicPanel2);
    cla;
    
% plot log magnitude spectrum of analysis frame on graphics Panel 2
    f=0:fs/nfft:fs/2;
    plot(f,xs1(1:nfft/2+1),'k','LineWidth',2);
    xlabel('Frequency in Hz'),ylabel('Log Magnitude (dB)'),hold on;
    plot(f,xs2(1:nfft/2+1),'r','LineWidth',2),grid on,axis tight;
    legend('STFT log spectrum','LPC log spectrum');
    
    string=sprintf('LPC roots for sound from file:%s, ss: %d, L=%d, p:%d',...
        fname,ss,L,p);
    
% plot log magnitude spectra of lpc model, along with log magnitude 
% spectra of lsp polynomials P and Q
    
% clear graphics Panel 1
    reset(graphicPanel1);
    axes(graphicPanel1);
    cla;
    
% plot log magnitude spectra of lpc model in graphics Panel 1;
% plot log magnitude spectra of lsp polynomials P and Q in graphics
% Panel 1
    plot(f,xs2(1:nfft/2+1),'r','LineWidth',2),xlabel('Frequency in Hz'),...
        ylabel('Log Magnitude (dB)'),hold on;
    plot(f,XP(1:nfft/2+1),'b','LineWidth',2);
    plot(f,XQ(1:nfft/2+1),'g','LineWidth',2),grid on,axis tight,...
        legend('LPC spectrum','LSP P spectrum','LSP Q spectrum');
    
% plot z-plane locations of roots of P and Q using o's for 
% roots of P, and x for roots of Q
% enhance pole-zero plots with thicker lines and brighter colors

% clear graphics Panel 4
    reset(graphicPanel4);
    axes(graphicPanel4);
    cla;
    
% convolve LPC roots with LSP roots and plot
    % b=conv(G,P');
    % a=conv(A',Q');
    % [hz,hp,hl]=zplane(b,a);
    
% plot z-plane locations of roots of P and Q using o's for 
% roots of P, and o for roots of Q; all in graphics Panel 4
    [hz,hp,hl]=zplane(roots(P'),roots(Q'));
    set(hl,'color','k');
    set(hp,'color','g');set(hp,'linewidth',2);
    set(hz,'color','b');set(hz,'linewidth',2);
    set(hp,'Marker','o');
    set(hp,'markersize',[10]);
    set(hz,'markersize',[10]);
    set(hl,'linewidth',0.125);
    string1=sprintf('LSP roots for sound from file:%s, ss: %d, L=%d, p:%d',...
        fname,ss,L,p);
    
    hold on;
% determine and plot root locations in z-plane for lpc polynomial
% enhance pole-zero plots with thicker lines and brighter colors
% plots roots of lpc polynomial in graphics Panel 5
    [hz,hp,hl]=zplane(roots(G),roots(A'));
    set(hl,'color','k');
    set(hp,'color','r');set(hp,'linewidth',2);
    set(hp,'markersize',[10]);
    set(hl,'linewidth',0.12);

    legend('LSP P roots','LSP Q roots');
    title('LSP P and Q roots - blue/green o, LPC roots - red x');
    
    axis equal; axis([-1.2,1.5,-1.2,1.5]); hold off;
    
% use titleBox1 to display filename and signal processing parameters
	stitle=sprintf('LPC and LSP log spectra and roots -- file: %s, ss: %d L: %d p: %d',...
            fname,ss,L,p);
	set(titleBox1,'String',stitle);
	set(titleBox1,'FontSize',20);
    end

% Callback for button11 -- Run Next Frame
    function button11Callback(h,eventdata);
      Rm=str2num(get(button9,'string'));
      R=round(Rm*fs/1000);
      ss=ss+R;
      button10Callback(h,eventdata);
    end    

% Callback for button7 -- close GUI
 function button7Callback(h,eventdata)
     close(gcf);
 end
end

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