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Design of multiplierless decimation filters using an extended search of cyclotomic polynomials
Massimiliano Laddomada
David Ernesto Troncoso Romero
GORDANA JOVANOVIC DOLECEK
Acceso Abierto
Atribución-NoComercial-SinDerivadas
Analog-to-digital (A/D) converter
Cascaded integrator–comb (CIC) filter
Comb
Cyclotomic
Cyclotomic polynomial (CP)
Decimation
Decimation filter
Multistage
Polynomial
Sigma–delta
Sinc filters
This brief addresses the design of multiplierless decimation filters using an extended set of cyclotomic polynomials (CPs) as constituent filters. It extends the results presented in a companion paper by one of the coauthors to CPs with indexes in the set {1, . . . , 200}, and it presents the z-transfer functions of all CPs with indexes from 61 to 200. One of the key observations stemming from the results of this brief is that CPs with indexes in the set {105, . . . , 200} still have very effective coefficients, i.e., integers belonging to {-1, 0,+1 }, but z-transfer functions have to be recursive. Regardless of the application to multirate filters considered in this brief, these polynomials can also be used for designing classical finite-impulse response filters. Moreover, this brief provides guidelines to simplify the design of constituent decimation filters in multistage architectures and to reduce computational complexity of the proposed filters. Finally, comparisons are given with respect to other techniques in the literature.
IEEE
2011
Artículo
Inglés
Estudiantes
Investigadores
Público en general
Laddomada, M., et al., (2011). Design of multiplierless decimation filters using an extended search of cyclotomic polynomials, IEEE Transactions on Circuits and Systems—II: Express Briefs, Vol. 58, (2): 115-119
ELECTRÓNICA
Versión aceptada
acceptedVersion - Versión aceptada
Appears in Collections:Artículos de Electrónica

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