Wideband Diversity in Multipath Channels with Nonuniform Power Delay Profiles

The focus of this paper is to derive the symbol error probability (SEP) of a Rake receiver with a limited number of fingers that track the strongest multipath components in a frequency-selective Rayleigh fading channel. We develop an analytical framework that allows the computation of the SEP for nonuniform power delay profiles (PDPs) and spreading bandwidth. By transforming the physical Rake receiver with correlated ordered paths into the domain of a virtual Rake receiver with conditionally independent virtual paths, analytical expressions for the SEP are derived in terms of the spreading bandwidth, the channel profile, and the number of combined paths. We show how our analytical results can be used to predict the performance of various Rake architectures in environments with nonuniform PDPs using for example, the channel models defined for the next generation wireless standards. Furthermore, we validate our methodology by comparison to data obtained from channel measurements, showing good agreement with our analytically derived results. This work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved. Copyright c ©Mitsubishi Electric Research Laboratories, Inc., 2003 201 Broadway, Cambridge, Massachusetts 02139 Publication History: 1. First printing, TR-2003-68, August 2003 IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, VOL. XX, NO. Y, MONTH 2003 101 Wideband Diversity in Multipath Channels with Nonuniform Power Delay Profiles Moe Z. Win†, Senior Member, IEEE, George Chrisikos, Senior Member, IEEE, and Andreas F. Molisch, Senior Member, IEEE Corresponding Address: Laboratory for Information and Decision Systems (LIDS) Massachusetts Institute of Technology Cambridge, MA 02139 USA Tel.: (732)-687-8113 e-mail: [email protected] Moe Z. Win was with the Wireless Systems Research Department, AT&T Labs Research Middletown, NJ 07748-4801, USA. He is now with the Laboratory for Information and Decision Systems (LIDS), Massachusetts Institute of Technology, Cambridge, MA 02139 USA (e-mail: [email protected]). George Chrisikos can be reached at (e-mail: [email protected]). Andreas F. Molisch was with the Wireless Systems Research Department, AT&T Labs Research, Middletown, NJ, USA. He is now with Mitsubishi Electric Research Laboratory, Cambridge, MA, USA and the Department of Electroscience, Lund University, Lund, Sweden (e-mail: [email protected]). †Corresponding author. April 29, 2003 DRAFT 102 IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, VOL. XX, NO. Y, MONTH 2003 Abstract The focus of this paper is to derive the symbol error probability (SEP) of a Rake receiver with a limited number of fingers that track the strongest multipath components in a frequency-selective Rayleigh fading channel. We develop an analytical framework that allows the computation of the SEP for nonuniform power delay profiles (PDPs) and spreading bandwidth. By transforming the physical Rake receiver with correlated ordered paths into the domain of a “virtual Rake” receiver with conditionally independent virtual paths, analytical expressions for the SEP are derived in terms of the spreading bandwidth, the channel profile, and the number of combined paths. We show how our analytical results can be used to predict the performance of various Rake architectures in environments with nonuniform PDPs using for example, the channel models defined for the next generation wireless standards. Furthermore, we validate our methodology by comparison to data obtained from channel measurements, showing good agreement with our analytically derived results.The focus of this paper is to derive the symbol error probability (SEP) of a Rake receiver with a limited number of fingers that track the strongest multipath components in a frequency-selective Rayleigh fading channel. We develop an analytical framework that allows the computation of the SEP for nonuniform power delay profiles (PDPs) and spreading bandwidth. By transforming the physical Rake receiver with correlated ordered paths into the domain of a “virtual Rake” receiver with conditionally independent virtual paths, analytical expressions for the SEP are derived in terms of the spreading bandwidth, the channel profile, and the number of combined paths. We show how our analytical results can be used to predict the performance of various Rake architectures in environments with nonuniform PDPs using for example, the channel models defined for the next generation wireless standards. Furthermore, we validate our methodology by comparison to data obtained from channel measurements, showing good agreement with our analytically derived results.