A novel methodology for allocating the poles of a group delay equalizer is introduced, in order to be applied as the initial solution of an optimization procedure that searches for the optimum result. Any chosen cost function related to equalizer designs has several local minima, because of the large number of parameters and the high function complexity. The goal of the present paper is to avoid those local minima, and consequently improve the robustness and convergence rate of equalizer designs. The method is based on the allocation presented in [14], introducing a new consistent approach to allocate the radii of the poles, and implementing a change in the choice for the phase of the poles, and also, a new decision criterion for both strategies presented in [14]. Simulation results are also presented.
This paper introduces a novel procedure for the design of IIR digital filters using linearized equation systems. The equations are related to the poles and zeros radii and angles, and are obtained via Taylor Series Expansion. The premise is that the IIR filters satisfy a given set of magnitude response specifications, achieving maximum deviation at determined number of extreme points, related to the number of poles and zeros. The proposed procedure makes it easier the addition of constraints such as maximally flatness, fixed transmission zeros, phase distortion, and most importantly, guarantees filter stability. Efficiency of the technique, robustness and phase distortion are shown through computer simulation results.
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