Analysis and design of multidimensional nonuniform band filter banks

Thomas R. Gardos; Kambiz Nayebi; Russell M. Mersereau

doi:10.1117/12.131367

1 November 1992 Analysis and design of multidimensional nonuniform band filter banks

Thomas R. Gardos, Kambiz Nayebi, Russell M. Mersereau

Proceedings Volume 1818, Visual Communications and Image Processing '92; (1992) https://doi.org/10.1117/12.131367
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

We present a method for designing multi-dimensional multi-rate nonuniform band FIR filter banks with integer or rational decimation factors. The analysis is based on the periodically time-varying (PTV) impulse responses of the filter bank branches. A constraint is developed, in terms of the analysis and synthesis filters, which ensures perfect reconstruction of the input signal. This forms the basis for the design method which uses constrained optimization techniques. We review impulse response analysis of filter banks and use Smith normal form decomposition to simplify their structure. We show how these impulse response analysis techniques allow us to consider filter banks that previous techniques fail to address.

Citation Download Citation

Thomas R. Gardos, Kambiz Nayebi, and Russell M. Mersereau "Analysis and design of multidimensional nonuniform band filter banks", Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); https://doi.org/10.1117/12.131367

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