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The Scientific World Journal
Volume 2014 (2014), Article ID 950860, 9 pages
Research Article

Optimal Sharpening of Compensated Comb Decimation Filters: Analysis and Design

1Electronics Department, INAOE Institute, 72840 Tonantzintla, PUE, Mexico
2Electrical Engineering Department, Texas A&M University, Texarkana, TX 75505, USA

Received 31 August 2013; Accepted 20 October 2013; Published 22 January 2014

Academic Editors: Z. Hou and J. C. Nieto-Borge

Copyright © 2014 David Ernesto Troncoso Romero et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Comb filters are a class of low-complexity filters especially useful for multistage decimation processes. However, the magnitude response of comb filters presents a droop in the passband region and low stopband attenuation, which is undesirable in many applications. In this work, it is shown that, for stringent magnitude specifications, sharpening compensated comb filters requires a lower-degree sharpening polynomial compared to sharpening comb filters without compensation, resulting in a solution with lower computational complexity. Using a simple three-addition compensator and an optimization-based derivation of sharpening polynomials, we introduce an effective low-complexity filtering scheme. Design examples are presented in order to show the performance improvement in terms of passband distortion and selectivity compared to other methods based on the traditional Kaiser-Hamming sharpening and the Chebyshev sharpening techniques recently introduced in the literature.