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Published May 2004 | public
Book Section - Chapter

Iterative gradient technique for the design of least squares optimal FIR magnitude squared Nyquist filters

Abstract

Recently, much attention has been given to the design of optimal finite impulse response (FIR) compaction filters. Such filters, which arise in the design of optimal signal-adapted orthonormal FIR filter banks, satisfy a magnitude squared Nyquist constraint in addition to the inherent FIR assumption. In this paper, we focus on the least squares optimal design of FIR filters whose magnitude squared response satisfies a Nyquist constraint. Using a complete characterization of such systems in terms of Householder-like building blocks, an iterative gradient based greedy algorithm is proposed to design such filters. Simulation results provided show the merit of the proposed technique for designing FIR compaction filters.

Additional Information

© 2004 IEEE. Issue Date: 17-21 May 2004. Date of Current Version: 30 August 2004. Work supported in part by the ONR grant N00014-99-1-1002, USA.

Additional details

Created:
August 19, 2023
Modified:
October 24, 2023