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Example 2

To check the Heisenberg-Gabor inequality numerically, we consider a gaussian signal and calculate its time-bandwidth product (see fig. 2.2):

     >> sig=amgauss(256);
     >> [tm,T]=loctime(sig); 
     >> [fm,B]=locfreq(sig);
     >> [T,B,T*B]             --->  T=32  B=0.0312  T*B=1
Figure 2.2: gaussian signal : lower bound of the Heisenberg-Gabor inequality
\begin{figure}
\epsfxsize =10cm\epsfysize =8cm
\centerline{\epsfbox{figure/ns2fig2.eps}}\end{figure}
Hence, the time-bandwidth product obtained, when using the file amgauss.m, is minimum.



Eric Chassande-Mottin 2005-10-26

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