2007/07/15 by Massimiliano Laddomada, Laddomada, Massimiliano
Computer Science · Engineering · #Coding theory and cryptography #Digital Filter Design and Implementation #FOS: Computer and information sciences #Other Computer Science (cs.OH) #PAPR reduction in OFDM #cs.OH
paper · pdf · doi:10.48550/arxiv.0707.2182
Submitted to CAS-I, July 07; 11 pages, 5 figures, 3 tables
arxiv created 2007/07/15 · openalex publication_date 2007/07/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This 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.