A dual parametrization approach to Nyquist filter design

Authors:
Changzhi Wu;Kok Lay Teo
Affiliations:
The School of Mathematics and Computer Science, Chongqing Normal University, Chongqing, China;The Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA, Australia
Venue:
Signal Processing
Year:
2010

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Abstract

In this paper, the optimum design of a factorable Nyquist filter with the intersymbol interference (ISI) being exactly zero is formulated as a nonlinear optimization problem with continuous inequality constraints. An iterative scheme is developed for solving this semi-infinite optimization problem, where an improved dual parametrization method is utilized in each iteration of the iterative scheme. Trade-off between robustness against timing jitter and small stopband attenuation is achieved via an adjustment of a parameter. Some examples are solved using the proposed iterative method.