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 />
General Definition <strong>of</strong> the Wavelet Transform<br />
∞<br />
1 ⎛ t − q ⎞<br />
X CWT<br />
( p,<br />
q) = ∫ x()<br />
t f ⎜ ⎟dt<br />
p −∞ ⎝ p ⎠<br />
p,q ... real – valued continuous variables<br />
According to former definition:<br />
p =<br />
k<br />
a<br />
q<br />
k<br />
= a Tn f ( t) = h( − t)<br />
X<br />
CWT<br />
( p,<br />
q) and X ( k,<br />
n) KKK<br />
wavelet coefficients<br />
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 />
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