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Design of Multiplierless 2-D State-Space Digital Filters over a Powers-of-Two Coefficient Space
Young-Ho LEE Masayuki KAWAMATA Tatsuo HIGUCHI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1996/03/25
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section of Selected Papers from the 8th Karuizawa Workshop on Circuits and Systems)
multiplierless 2-D state-space digital filters, powers-of-two, genetic algorithm, high-speed operation,
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This letter presents an efficient design method of multiplierless 2-D state-space digital filters (SSDFs) based on a genetic algorithm. The resultant multiplierless 2-D SSDFs, whose coefficients are represented as the sum of two powers-of-two terms, are attractive for high-speed operation and simple implementation. The design problem of multiplierless 2-D SSDFs described by Roesser's local state-space model is formulated subject to the constraint that the resultant filters are stable. To ensure the stability for the resultant 2-D SSDFs, a stability test routine is embedded in th design procedure.