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Summary: IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, VOL. X, NO. YY, OCTOBER 2008 1
Using the Bhattacharyya Parameter for Design and
Analysis of Cooperative Wireless Systems
Josephine P. K. Chu, Student Member, IEEE, Raviraj S. Adve, Senior Member, IEEE, and
Andrew W. Eckford, Member, IEEE
Abstract--A simplified method of analysis and design based
on the Bhattacharyya parameter (BP) in conjunction with the
union bound and weight enumeration is presented for relay
channels using coded cooperation. This method is particularly
suitable for low-complexity relay systems employing demodulate-
and-forward, focusing on the problems of relay selection and
outage analysis. These applications are chosen to illustrate the use
of the BP in scenarios where analytical solutions are otherwise
unattainable. In terms of relay selection, it is shown that BP-
based relay selection has essentially the same performance as
density evolution, though with much lower complexity. It is
further shown that BP-based relay selection can be applied to
fractional cooperation, where each relay only forwards a fraction
of the source codeword. In terms of analysis, it is shown that
weight enumeration with BP can be used to provide a close
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