An L1 design of GCF compensation filter

Authors:
Alfonso Fernandez-Vazquez;Gordana Jovanovic Dolecek
Affiliations:
School of Computer Engineering/ ESCOM, National Polytechnic Institute/ IPN, Mexico City 07738, Mexico;Department of Electronics, National Institute of Astrophysics, Optics, and Electronics/ INAOE, Puebla 72840, Mexico
Venue:
Signal Processing
Year:
2011

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Abstract

This paper introduces the design of the second order GCF (Generalized Comb Filter) compensator based on L"1 optimization. The problem is represented by a set of nonlinear equations solved by the Newton-Raphson 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 @w"p. A design example demonstrates the effectiveness of the proposed design.