k - spsc - Graz University of Technology

SPSC – Signal Processing & Speech Communication Lab
( n)
The z – Transformation of is given by
Xˆ
M
∑ − 1
k = 0
xˆ
nk
( z) = X ( z ) F ( z)
k
k
xˆ
M − 1
in time – domain
∞
( n) = x ( m) f ( n − n m)
∑∑
k=
0 m=−∞
k
k
k
=
M − 1
∞
∑∑
k=
0 m=−∞
y
k
jω ( n m)
( n m) e k k
f ( n − n m)
k
k
k
y
k
( n m) K STFT − Coefficien ts
k
Reconstruction is stable, if the filters F k
(z) are stable!
Perfect reconstruction will be obtained, if x ˆ(
n) = x( n)
Professor Georg Holzmann, Horst Cerjak, Christian 19.12.2005 Wallinger 12.06.07 Wavelet T. - Relation to Filter Banks
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