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Mathematical Problems in Engineering
Volume 2013, Article ID 921932, 7 pages
Research Article

Design of Special Impacting Filter for Multicarrier ABPSK System

School of Information Science & Engineering, Southeast University, 2 Sipailou, Nanjing 210096, China

Received 14 January 2013; Accepted 17 March 2013

Academic Editor: Yudong Zhang

Copyright © 2013 Zhimin Chen and Lenan Wu. 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.


A rather intuitive technique known as pole-zero placement is introduced to illustrate the frequency response of the special impacting filters (SIFs) with a pair of conjugate zero-poles and deduce the equation of the pole radii. Based on that, the paper proposes an iterative scheme to derive the parameters of the cascade notch filter. The cost function is determined by the cascading notch filter’s influence on impacting filters, converting the cost function’s least square problem to a filter parameters’ standard quadratic programming problem. Finally, a cascading notch SIF (CNSIF) designed to demodulate the ABPSK signals is realized.