An L1 design of GCF compensation filter

Alfonso Fernandez-Vazquez; Gordana Jovanovic Dolecek

doi:10.1016/j.sigpro.2010.11.001

An L₁ design of GCF compensation filter

Alfonso Fernandez-Vazquez, Gordana Jovanovic Dolecek

Escuela Superior de Cómputo (ESCOM)

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

This paper introduces the design of the second order GCF (Generalized Comb Filter) compensator based on L₁ optimization. The problem is represented by a set of nonlinear equations solved by the NewtonRaphson algorithm. The proof of the uniqueness of the solution is also provided. One can reduce the complexity of the design approximating the original set of nonlinear equations by the set of linear equations, which depends only on the passband edge frequency ωp. A design example demonstrates the effectiveness of the proposed design.

Original language	English
Pages (from-to)	1143-1149
Number of pages	7
Journal	Signal Processing
Volume	91
Issue number	5
DOIs	https://doi.org/10.1016/j.sigpro.2010.11.001
State	Published - May 2011

Keywords

CIC filter
Compensation filter
GCF
L optimization

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10.1016/j.sigpro.2010.11.001

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title = "An L1 design of GCF compensation filter",

abstract = "This paper introduces the design of the second order GCF (Generalized Comb Filter) compensator based on L1 optimization. The problem is represented by a set of nonlinear equations solved by the NewtonRaphson algorithm. The proof of the uniqueness of the solution is also provided. One can reduce the complexity of the design approximating the original set of nonlinear equations by the set of linear equations, which depends only on the passband edge frequency ωp. A design example demonstrates the effectiveness of the proposed design.",

keywords = "CIC filter, Compensation filter, GCF, L optimization",

author = "Alfonso Fernandez-Vazquez and {Jovanovic Dolecek}, Gordana",

note = "Funding Information: This work was supported by SIP-IPN project 20100636 and CONACyT Mexico. ",

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AU - Jovanovic Dolecek, Gordana

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Y1 - 2011/5

N2 - This paper introduces the design of the second order GCF (Generalized Comb Filter) compensator based on L1 optimization. The problem is represented by a set of nonlinear equations solved by the NewtonRaphson algorithm. The proof of the uniqueness of the solution is also provided. One can reduce the complexity of the design approximating the original set of nonlinear equations by the set of linear equations, which depends only on the passband edge frequency ωp. A design example demonstrates the effectiveness of the proposed design.

AB - This paper introduces the design of the second order GCF (Generalized Comb Filter) compensator based on L1 optimization. The problem is represented by a set of nonlinear equations solved by the NewtonRaphson algorithm. The proof of the uniqueness of the solution is also provided. One can reduce the complexity of the design approximating the original set of nonlinear equations by the set of linear equations, which depends only on the passband edge frequency ωp. A design example demonstrates the effectiveness of the proposed design.

KW - CIC filter

KW - Compensation filter

KW - GCF

KW - L optimization

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DO - 10.1016/j.sigpro.2010.11.001

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VL - 91

SP - 1143

EP - 1149

JO - Signal Processing

JF - Signal Processing

IS - 5

ER -

An L₁ design of GCF compensation filter

Abstract

Keywords

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