atoms.tex

时频分析的工具包

% 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{atoms}
\hspace*{-1.6cm}{\Large \bf atoms}

\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}
Linear combination of elementary Gaussian atoms.
\end{minipage}
\vspace*{.5cm}

{\bf \large \fontfamily{cmss}\selectfont Synopsis}\\
\hspace*{1.5cm}
\begin{minipage}[t]{13.5cm}
\begin{verbatim}
[sig,locatoms] = atoms(N)
[sig,locatoms] = atoms(N,coord)
\end{verbatim}
\end{minipage}
\vspace*{.5cm}


{\bf \large \fontfamily{cmss}\selectfont Description}\\
\hspace*{1.5cm}
\begin{minipage}[t]{13.5cm}
        {\ty atoms} generates a signal consisting in a linear combination
        of elementary gaussian atoms. The locations of the time-frequency
        centers of the different atoms are either fixed by the input
        parameter {\ty coord} or successively defined by clicking with the
        mouse (if {\ty nargin==1}), with the help of a menu.\\

\hspace*{-.5cm}\begin{tabular*}{14cm}{p{1.5cm} p{8.5cm} c}
Name & Description & Default value\\
\hline
        {\ty N}        & number of points of the signal\\
        {\ty coord}    & matrix of time-frequency centers, of the form
                   {\ty [t1,f1,T1,A1;...;tM,fM,TM,AM]}. {\ty (ti,fi)} are the 
                   time-frequency coordinates of atom {\ty i}, {\ty Ti} is its time 
                   duration and {\ty Ai} its amplitude. Frequencies {\ty f1..fM} should 
                   be between 0 and 0.5.
                   If {\ty nargin==1}, the location of the atoms will be defined
                   by clicking with the mouse& {\ty Ti=N/4, Ai=1}.\\
 \hline {\ty sig}      & output signal\\
        {\ty locatoms} & matrix of time-frequency coordinates and durations of the
                   atoms  \\

\hline
\end{tabular*}
\vspace*{.1cm}

When the selection of the atoms is finished (after clicking on the 'Stop'
buttom, or after having specified the coordinates at the command line with
the input parameter {\ty coord}), the signal in time together with a
schematic representation of the atoms in the time-frequency plane are
displayed on the current figure.
\end{minipage}
\vspace*{.5cm}

{\bf \large \fontfamily{cmss}\selectfont Examples}
\begin{verbatim}
         sig=atoms(128);
         sig=atoms(128,[32,0.3,32,1;56,0.15,48,1.22;102,0.41,20,0.7]); 
\end{verbatim}
\vspace*{.5cm}

{\bf \large \fontfamily{cmss}\selectfont See Also}\\
\hspace*{1.5cm}
\begin{minipage}[t]{13.5cm}
\begin{verbatim}
amgauss, fmconst.
\end{verbatim}
\end{minipage}