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 />
2<br />
2 4<br />
Responses <strong>of</strong> the filters H ( z) , G( z) H ( z ),<br />
G( z) G( z ) H ( z ),......<br />
figure 19: combinations <strong>of</strong> H(z) and G(z)<br />
Defining the Discrete –Time Wavelet Transform<br />
M −1<br />
k +<br />
( n) = x( m) h ( 2 1 n − m)<br />
∑ ∞<br />
m=<br />
−∞<br />
y , 0 ≤ k ≤ M − 2<br />
k<br />
k<br />
M −<br />
( n) = x( m) h ( 2 1 n − m) ( D T WT )<br />
∑ ∞<br />
m=<br />
−∞<br />
y ,<br />
M −1<br />
iscrete<br />
ime<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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