Analysing the convergence behaviour of the PIC detector

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Abstract

This paper analyses the convergence behaviour of the parallel interference cancellation (PIC) detector in code division multiple access (CDMA) systems. The paper introduces a general PIC detector model where it can be used to describe the interference cancellation process of the PIC detector with any type of tentative decision function. With this model, the PIC detector can be viewed as either a feedback system or an iterated-map neural network. Using the known results from previous stability analysis in these areas, the paper derives general conditions from which the sufficient condition for convergence of the PIC detector for a wide range of tentative decision functions can be calculated. As examples, the paper derives the sufficient condition for convergence of the PIC detector with linear decision, clip decision and hyperbolic tangent decision functions.

Section snippets

Van Khanh Nguyen received his Ph.D. degree in electronic engineering and the B.E. (honors) degree in computer system engineering from the University of Adelaide in 2004 and 2000, respectively. Since 2003, he has been a Lecturer in the School of Engineering and Technology, Deakin University, Australia. His research interests include multiuser detection for CDMA systems, space–time coding and processing for multi-antenna systems, and receiver structure design for general diversity systems.

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Van Khanh Nguyen received his Ph.D. degree in electronic engineering and the B.E. (honors) degree in computer system engineering from the University of Adelaide in 2004 and 2000, respectively. Since 2003, he has been a Lecturer in the School of Engineering and Technology, Deakin University, Australia. His research interests include multiuser detection for CDMA systems, space–time coding and processing for multi-antenna systems, and receiver structure design for general diversity systems.

Langford B. White received the B.S. degree in mathematics, the B.E. (honors) and Ph.D. degrees in electrical engineering from the University of Queensland, Australia, in 1984, 1985, and 1989, respectively. From 1986 to 1999, he worked for the Defence Science and Technology Organization, Australia, in the areas of radar and communications electronic warfare. Since 1999, he has been a Professor of communication networks in the Department of Electrical and Electronic Engineering, University of Adelaide, Australia. His current research interests include communications signal processing, wireless data networks, and the Internet. Professor White was awarded the Australian Telecommunications and Electronics Research Board Medal for Outstanding Young Investigator in 1994.

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