Optimal Sharpening of Compensated Comb Decimation Filters: Analysis and Design

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

Applications of MATLAB in Science and Engineering

The book consists of 24 chapters illustrating a wide range of areas where MATLAB tools are applied. These areas include mathematics, physics, chemistry and chemical engineering, mechanical engineering, biological (molecular biology) and medical sciences, communication and control systems, digital signal, image and video processing, system modeling and simulation. Many interesting problems have been included throughout the book, and its contents will be beneficial for students and professionals in wide areas of interest

Design of Two-Stage Nonrecursive Rotated Comb Decimation Filters With Droop Compensation and Multiplierless Architecture

This paper proposes a class of decimation filters with reduced passband signal distortion and improved spurious signal rejection across the folding bands. These filters are well-suited to decimation of oversampled digital signals processed by wideband digital receivers and ΣΔ AD converters. The total decimation factor is split between two stages of decimation and zero rotation in a nonrecursive form is applied at the lower rate in order to reduce the computational complexity of the proposed filters. We also address a framework to implement multiplierless filters and to compensate for the passband droop introduced by this class of filters. For increased flexibility, we generalize the transfer function by allowing different orders between the two stages of decimation. The paper presents many examples to clearly describe the design procedure. Comparisons are also given with the goal of contrasting the magnitude responses of the proposed filters with the ones of three other techniques recently proposed in the literature, as well as with classical comb filters