Information theoretic approach to complexity reduction of FIR filter design
Author
Chang, Chip Hong
Chen, Jiajia
Vinod, Achutavarrier Prasad
Date of Issue
2008School
School of Electrical and Electronic Engineering
Version
Published version
Abstract
This paper presents a new paradigm of design.methodology to reduce the complexity of application-specific finite-impulse response (FIR) digital filters. A new adder graph data structure called the multiroot binary partition graph (MBPG) is proposed for the formulation of the multiple onstant multiplication problem of FIR filter design. The set of coefficients in any fixed point representation is partitioned into symbols so that common subexpression identification and elimination become congruent to
information parsing for data compression. A minimum number of
different pairs or groups of symbols and residues can be used to
code a set of coefficients based on their probability and conditional probability of occurrence. This ingenious concept enables the notion of entropy to be applied as a quantitative measure to evaluate the coding density of different compositions of symbols towards a set of coefficients. The minimal vertex set MBPG synthesized by our proposed information theoretic approach results in direct correspondences between the vertices and adders, and edges and
physical interconnections. Unlike the common subexpression elimination algorithms based on other graph data structures, the
symbol-level information carried in each vertex and the graph isomorphism of MBPG promise further fine-grain optimization in
a reduced search space. One such optimization that has been exploited in this paper is the shift-inclusive computation reordering to minimize the width of every two’s complement adder to further reduce the implementation cost and the critical path delay of the filter. Experiment results show that the proposed algorithm can contribute up to 19.30% reductions in logic complexity and up to 61.03% reduction in critical path delay over other minimization methods.
Subject
DRNTU::Engineering::Electrical and electronic engineering
Type
Journal Article
Series/Journal Title
IEEE transactions on circuits and systems—I
Rights
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Collections
http://dx.doi.org/10.1109/TCSI.2008.920090
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