Design of discrete coefficient FIR filters by a fast entropy-directed deterministic annealing algorithm

Document type: Journal Articles
Article type: Original article
Peer reviewed: Yes
Author(s): Per Persson, Sven Nordebo, Ingvar Claesson
Title: Design of discrete coefficient FIR filters by a fast entropy-directed deterministic annealing algorithm
Journal: IEEE Transactions on Signal Processing
Year: 2005
Volume: 52
Issue: 3
Pagination: 1006-1014
ISSN: 1053-587X
Publisher: IEEE
URI/DOI: 10.1109/TSP.2004.8422178
ISI number: 000227056400013
Organization: Blekinge Institute of Technology
Department: Department of Telecommunications and Signal Processing (Institutionen för telekommunikation och signalbehandling)
Department of Telecommunications and Signal Processing S-372 25 Ronneby
+46 455 38 50 00
Language: English
Abstract: In this paper, we present an entropy-directed deterministic annealing optimization algorithm and show its applicability to the problem of designing digital filters with discrete coefficients, each implemented as a sum of signed power-of-two terms and additional general hardware constraints. The algorithm is based on analogies from statistical mechanics and is related to the well-known mean field annealing algorithm. It utilizes estimates of conditional entropy to prune the problem during the optimization, thereby reducing the computational time by 30 to 50%. In conjunction with a scheme to compute the value of the objective function as a sequence of updates, this approach leads to a very fast algorithm. As an application example demonstrating the potential of the new method, we consider the design of digital filters with discrete coefficients consisting of a minimum number of signed power-of-two terms. © 2005 IEEE.
Subject: Signal Processing\Filter Design
Keywords: Hardware constraints, annealing, entropy, FIR
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