k - spsc - Graz University of Technology
k - spsc - Graz University of Technology
k - spsc - Graz University of Technology
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SPSC – Signal Processing & Speech Communication Lab<br />
Therefore:<br />
τ =<br />
na<br />
k<br />
T<br />
nK int eger,<br />
a<br />
k<br />
T Kstep<br />
size<br />
hence:<br />
h<br />
(<br />
−k<br />
(<br />
k<br />
) (<br />
−k<br />
a na T − t = h nT − a t)<br />
Summarizing, we are computing:<br />
<br />
X<br />
X<br />
DWT<br />
DWT<br />
,<br />
∞<br />
∫<br />
−∞<br />
−k<br />
2<br />
−k<br />
( k,<br />
n) a x() t h( nT − a t)<br />
= dt<br />
∞<br />
∫<br />
−∞<br />
k<br />
( k n) x( t) h ( na T − t)<br />
= dt<br />
k<br />
DWT...Discrete Wavelet Transform<br />
figure 12: Analysis bank <strong>of</strong> DWT<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 />
27
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