Designing N-band biorthogonal FIR systems given several of the analysis and synthesis filters

Authors:
Eleftherios Kofidis
Affiliations:
Department of Statistics and Insurance Science, University of Piraeus, Piraeus, Greece
Venue:
Signal Processing
Year:
2005

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Abstract

The problem of designing an N-band biorthogonal FIR analysis/synthesis system, given K of its analysis and synthesis filters, is addressed in this paper. A necessary and sufficient condition on the K filters, that guides their selection, is derived. The solution set is completely parameterized via ladder-type structures that guarantee the perfect reconstruction property under both coefficient quantization and roundoff errors. Both nonlinear-and linear-phase systems are considered. A design example is included to illustrate the theory.