📄 tfrparam.m
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function [tfr,t,f] = tfrparam(x,t,N,p,L,trace,Rxtype,method,q);
% [tfr,t,f]=tfrparam(x,t,N,p,L,trace,Rxtype,method,q) parametric time-frequency
% representation.
%
% X : signal
% T : time instant(s) (default : 1:length(X)).
% N : number of frequency bins (default : max(256,length(X)) ).
% p : last autocorrelation lag (default : 2 ).
% L : length of the window around the analyzed time sample. Must be odd.
% (default : max(51,round(xrow/10)) ).
% Rxtype : choice of the correlation matrix algorithm (default : 'fbhermitian')
% possible values are 'hermitian', 'fbhermitian', 'burg' or 'fbburg'
% method : can be either 'ar', 'periodogram', 'capon', 'capnorm', 'lagunas',
% or 'genlag'.
% q : parameter for the generalized Lagunas method.
%
% example:
%
% x=fmconst(256,0.1)+fmlin(256,0.15,0.30)+fmlin(256,0.2,0.45);
% figure(1); tfrparam(x,1:256,256,3,21,1,'fbhermitian','ar');
% figure(2); tfrparam(x,1:256,256,15,61,1,'fbhermitian','periodogram');
% figure(3); tfrparam(x,1:256,256,3,21,1,'fbhermitian','capon');
% figure(4); tfrparam(x,1:256,256,3,21,1,'fbhermitian','lagunas');
% F. Auger, july, november 1998, april 99.
if (nargin == 0),
error('At least 1 parameter required');
end;
[xrow,xcol] = size(x);
if (nargin==1),
t=1:xrow; N=max(256,xrow); p=2; L=max(51,round(xrow/10)); trace=0; Rxtype='fbhermitian'; method='ar';
elseif (nargin==2),
N=max(256,xrow); p=2; L=max(51,round(xrow/10)); trace=0; Rxtype='fbhermitian'; method='ar';
elseif (nargin==3),
p=2; L=max(51,round(xrow/10)); trace=0; Rxtype='fbhermitian'; method='ar';
elseif (nargin==4),
L=max(51,round(xrow/10)); trace=0; Rxtype='fbhermitian'; method='ar';
elseif (nargin==5),
trace=0; Rxtype='fbhermitian'; method='ar';
elseif (nargin==6),
Rxtype='fbhermitian'; method='ar';
elseif (nargin==7),
method='ar';
end;
[trow,tcol] = size(t);
if xcol>1,
error('x must be a column vector');
elseif p<1,
error('p must be greater than 0');
end;
if (rem(L,2)==0), % L must be odd
L=L+1; fprintf('L corrected to L+1\n');
end;
Lhalf=(L-1)/2;
tfr= zeros (N,tcol) ;
if trace, disp('Tfrparam'); end;
for icol=1:tcol,
ti= t(icol);
if ti-Lhalf >= 1, timin=ti-Lhalf; else timin=1; end;
if ti+Lhalf <= xrow, timax=ti+Lhalf; else timax=xrow; end;
if trace, disprog(icol,tcol,10); end;
Realp=min (p,timax-timin);
Rx=correlmx(x(timin:timax),Realp,Rxtype);
if strcmp(upper(method),'GENLAG'),
[tfr(:,icol),f]=parafrep(Rx,N,method,q);
else
[tfr(:,icol),f]=parafrep(Rx,N,method);
end
end;
if trace, fprintf('\n'); end;
if (nargout==0),
imagesc(t,f,10.0*log10(tfr)); axis('xy');
title(['tfrparam, ' method, ...
', p=', num2str(p), ...
', L=', num2str(L), ', ', ...
Rxtype, ' autocorrelation matrix']); drawnow;
end;
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