📄 tfrideal.tex
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% This is part of the TFTB Reference Manual.% Copyright (C) 1996 CNRS (France) and Rice University (US).% See the file refguide.tex for copying conditions.\markright{tfrideal}
\hspace*{-1.6cm}{\Large \bf tfrideal}
\vspace*{-.4cm}
\hspace*{-1.6cm}\rule[0in]{16.5cm}{.02cm}
\vspace*{.2cm}
{\bf \large \fontfamily{cmss}\selectfont Purpose}\\
\hspace*{1.5cm}
\begin{minipage}[t]{13.5cm}
Ideal TF-representation for given instantaneous frequency laws.
\end{minipage}
\vspace*{.3cm}
{\bf \large \fontfamily{cmss}\selectfont Synopsis}\\
\hspace*{1.5cm}
\begin{minipage}[t]{13.5cm}
\begin{verbatim}
[tfr,t,f] = tfrideal(iflaws)
[tfr,t,f] = tfrideal(iflaws,t)
[tfr,t,f] = tfrideal(iflaws,t,N)
[tfr,t,f] = tfrideal(iflaws,t,N,trace)
\end{verbatim}
\end{minipage}
\vspace*{.5cm}
{\bf \large \fontfamily{cmss}\selectfont Description}\\
\hspace*{1.5cm}
\begin{minipage}[t]{13.5cm}
{\ty tfrideal} generates the ideal time-frequency representation
corresponding to the instantaneous frequency laws of the components
of a signal.\\
\hspace*{-.5cm}\begin{tabular*}{14cm}{p{1.5cm} p{8.5cm} c}
Name & Description & Default value\\
\hline
{\ty iflaws} & {\ty (M,P)}-matrix where each column corresponds to
the instantaneous frequency law of an {\ty (M,1)}-signal.
These {\ty P} signals do not need to be present at the same time
instants. The values of {\ty iflaws} must be
between 0 and 0.5\\
{\ty t} & time instant(s) & {\ty (1:M)}\\
{\ty N} & number of frequency bins & {\ty M}\\
{\ty trace} & if nonzero, the progression of the algorithm is shown
& {\ty 0}\\
\hline {\ty tfr} & output time-frequency matrix, of size {\ty (N,length(t))}\\
{\ty f} & vector of normalized frequencies\\
\hline
\end{tabular*}
\vspace*{.2cm}
When called without output arguments, a contour plot of {\ty tfr} is
automatically displayed on the screen.
\end{minipage}
\vspace*{.5cm}
{\bf \large \fontfamily{cmss}\selectfont Example}
\begin{verbatim}
N=140; t=0:N-1; [x1,if1]=fmlin(N,0.05,0.3);
[x2,if2]=fmsin(70,0.35,0.45,60);
if2=[zeros(35,1)*NaN;if2;zeros(35,1)*NaN];
tfrideal([if1 if2]);
\end{verbatim}
\vspace*{.5cm}
{\bf \large \fontfamily{cmss}\selectfont See Also}\\
\hspace*{1.5cm}
\begin{minipage}[t]{13.5cm}
{\ty plotifl, plotsid} and all the {\ty tfr*} functions.
\end{minipage}
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