Linear phase paraunitary finite impulse response (FIR) filter banks: a complete characterization                                                                                          .

Radka Turcajova

doi:10.1117/12.188804

11 October 1994 Linear phase paraunitary finite impulse response (FIR) filter banks: a complete characterization .

Radka Turcajova

Proceedings Volume 2303, Wavelet Applications in Signal and Image Processing II; (1994) https://doi.org/10.1117/12.188804
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

A complete characterization of linear phase paraunitary FIR filter banks is given. It is based on factorization into the product of linear factors. For filter banks with an even number of filters centrosymmetric linear factors are used. When the number of filters is odd, the centrosymmetric linear factors do not exist. However, the linear factors in the factorization can be coupled and centrosymmetric quadratic factors can be used. The described factorizations make possible to solve the completion problem--the algorithm for obtaining all possible completions of given filters to a linear phase paraunitary filter bank is derived.

Citation Download Citation

Radka Turcajova "Linear phase paraunitary finite impulse response (FIR) filter banks: a complete characterization .", Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); https://doi.org/10.1117/12.188804

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