Minimization of Output Errors of FIR Digital Filters by Multiple Decompositions of Signal Word

Mitsuhiko YAGYU  Akinori NISHIHARA  Nobuo FUJII  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E81-A   No.3   pp.407-419
Publication Date: 1998/03/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section of Selected Papers from the 10th Karuizawa Workshop on Circuits and Systems)
Category: 
Keyword: 
FIR digital filters,  multiple decompositions of signal word,  error spectrum,  the number of multiplications and additions,  

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Summary: 
FIR digital filters composed of parallel multiple subfilters are proposed. A binary expression of an input signal is decomposed into multiple shorter words, which drive the subfilters having different length. The output error is evaluated by mean squared and maximum spectra. A fast algorithm is also proposed to determine optimal filter lengths and coefficients of subfilters. Many examples confirm that the proposed filters generate smaller output errors than conventional filters under the condition of specified number of multiplications and additions in filter operations. Further, multiplier and adder structures (MAS) to perform the operations of the proposed filters are also presented. The number of gates used in the proposed MAS and its critical path are estimated. The effectiveness of the proposed MAS is confirmed.