DocumentCode :
417493
Title :
Iterative gradient technique for the design of least squares optimal FIR magnitude squared Nyquist filters
Author :
Tkacenko, Andre ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Volume :
2
fYear :
2004
fDate :
17-21 May 2004
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.
Keywords :
FIR filters; Nyquist criterion; algorithm theory; gradient methods; least squares approximations; FIR magnitude squared Nyquist filters; Householder-like building blocks; compaction filters; greedy algorithm; iterative gradient technique; least squares optimal filter design; magnitude squared Nyquist constraint; signal-adapted orthonormal filter banks; Band pass filters; Compaction; Data compression; Design methodology; Electronic mail; Filter bank; Finite impulse response filter; Least squares methods; Signal design; Signal resolution;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on
ISSN :
1520-6149
Print_ISBN :
0-7803-8484-9
Type :
conf
DOI :
10.1109/ICASSP.2004.1326424
Filename :
1326424
Link To Document :
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