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A sequentially operated periodic FIR filter for perfect reconstruction

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Abstract

This paper presents a sequentially operated periodic FIR filter to perform the functions of multirate filter banks for perfect reconstruction. This filter consists of an analysis filter and a synthesis filter. Each of these filters has a single-input/single-output FIR filter with periodically time-varying coefficients and a sequentially operated multichannel sampling scheme. As a result, the proposed filter can offer considerable improvements in computation and implementation. For the design of the filter, we provide a necessary and sufficient condition for perfect reconstruction in terms of the blocked transfer matrices and give a design procedure.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, The University of Melbourne, 3052, Parkville, VIC, Australia

    Cishen Zhang & Yi Liao

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  1. Cishen Zhang
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  2. Yi Liao
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Zhang, C., Liao, Y. A sequentially operated periodic FIR filter for perfect reconstruction. Circuits Systems and Signal Process 16, 475–486 (1997). https://doi.org/10.1007/BF01198063

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  • DOI: https://doi.org/10.1007/BF01198063

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