Necessary and sufficient condition for perfect reconstruction matrix filter banks

Jianzhong Wang

doi:10.1117/12.366824

26 October 1999 Necessary and sufficient condition for perfect reconstruction matrix filter banks

Jianzhong Wang

Proceedings Volume 3813, Wavelet Applications in Signal and Image Processing VII; (1999) https://doi.org/10.1117/12.366824
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

A matrix filter is a linear and time-invariant operator on the space of vector-valued signals. Matrix filter bank is the generalization of filter bank. A perfect reconstruction matrix filter bank consists of an analysis matrix filter bank and a synthesis matrix filter bank. In the theory of filter design, generating a perfect reconstruction matrix filter bank from a given lowpass matrix filter is considered. Such a lowpass matrix filter is called a primary matrix filter. In this paper, we give a necessary and sufficient condition for a lowpass matrix filter being primary and discuss the relation between perfect reconstruction matrix filter bank and biorthogonal multiwavelet.

Citation Download Citation

Jianzhong Wang "Necessary and sufficient condition for perfect reconstruction matrix filter banks", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); https://doi.org/10.1117/12.366824

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