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k - spsc - Graz University of Technology

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SPSC – Signal Processing & Speech Communication Lab<br />

Passing from STFT to Wavelets<br />

Step 1:<br />

Giving up the STFT modulation scheme and obtain filters<br />

h<br />

k<br />

−k<br />

() t a ( ) 2 −k<br />

= h a t a > 1Kscaling<br />

factor,<br />

k = int eger<br />

in the frequency domain:<br />

k<br />

k<br />

( jΩ) = a H ( ja Ω)<br />

2<br />

H<br />

k<br />

all reponses are obtained by frequency – scaling <strong>of</strong> a prototype response H(<br />

jΩ)<br />

Pr<strong>of</strong>essor Georg Holzmann, Horst Cerjak, Christian 19.12.2005 Wallinger 12.06.07 Wavelet T. - Relation to Filter Banks<br />

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