Design of Multistage Decimation Filters Using Cyclotomic Polynomials: Optimization and Design Issues

dc.creatorLaddomada, Massimiliano
dc.date2007-07-15
dc.date.accessioned2026-07-07T08:18:28Z
dc.date.available2026-07-07T08:18:28Z
dc.descriptionThis paper focuses on the design of multiplier-less decimation filters suitable for oversampled digital signals. The aim is twofold. On one hand, it proposes an optimization framework for the design of constituent decimation filters in a general multistage decimation architecture. The basic building blocks embedded in the proposed filters belong, for a simple reason, to the class of cyclotomic polynomials (CPs): the first 104 CPs have a z-transfer function whose coefficients are simply {-1,0,+1}. On the other hand, the paper provides a bunch of useful techniques, most of which stemming from some key properties of CPs, for designing the proposed filters in a variety of architectures. Both recursive and non-recursive architectures are discussed by focusing on a specific decimation filter obtained as a result of the optimization algorithm. Design guidelines are provided with the aim to simplify the design of the constituent decimation filters in the multistage chain.
dc.descriptionSubmitted to CAS-I, July 07; 11 pages, 5 figures, 3 tables
dc.identifierhttps://arxiv.org/abs/0707.2182
dc.identifierhttp://arxiv.org/abs/0707.2182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134443
dc.subjectOther Computer Science
dc.titleDesign of Multistage Decimation Filters Using Cyclotomic Polynomials: Optimization and Design Issues
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