Title :
A filter bank-mother wavelet relationship in the context of the discrete time wavelet transform
Author :
Hanna, Magdy Tawfik ; Monsoori, S.A.
Author_Institution :
Dept. of Eng. Math. & Phys., Cairo Univ., Fayoum, Egypt
fDate :
31 May-3 Jun 1998
Abstract :
The digital filters a[n] and b[n] of the filter bank required for implementing the discrete time wavelet transform DTWT[m,n] of the sampled signal s(kT) are derived. The filter a[n] is proved to be an all-pass filter and the filter b[n] to be a time-reversed and complex conjugated version of the sampled mother wavelet Ψ(nT) used in the definition of the DTWT
Keywords :
all-pass filters; digital filters; signal sampling; wavelet transforms; DTWT; all-pass filter; complex conjugated version; digital filters; discrete time wavelet transform; filter bank-mother wavelet relationship; sampled signal; time-reversed version; Digital filters; Discrete Fourier transforms; Discrete wavelet transforms; Equations; Filter bank; Fourier transforms; Instruction sets; Physics; Sampling methods; Wavelet domain;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.694425
