On Space–Time Trellis Codes Achieving Optimal Diversity Multiplexing Tradeoff

Vaze, Rahul and Rajan, Sundar B (2006) On Space–Time Trellis Codes Achieving Optimal Diversity Multiplexing Tradeoff. In: IEEE Transactions on Information Theory, 52 (11). pp. 5060-5067.

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Abstract

Multiple antennas can be used for increasing the amount of diversity (diversity gain) or increasing the data rate (the number of degrees of freedom or spatial multiplexing gain) in wireless communication. As quantified by Zheng and Tse, given a multiple-input–multiple-output (MIMO) channel, both gains can, in fact, be simultaneously obtained, but there is a fundamental tradeoff (called the Diversity-Multiplexing Gain (DM-G) tradeoff) between how much of each type of gain, any coding scheme can extract. Space–time codes (STCs) can be employed to make use of these advantages offered by multiple antennas. Space–Time Trellis Codes (STTCs) are known to have better bit error rate performance than Space–Time Block Codes (STBCs), but with a penalty in decoding complexity. Also, for STTCs, the frame length is assumed to be finite and hence zeros are forced towards the end of the frame (called the trailing zeros), inducing rate loss. In this correspondence, we derive an upper bound on the DM-G tradeoff of full-rate STTCs with nonvanishing determinant (NVD). Also, we show that the full-rate STTCs with NVD are optimal under the DM-G tradeoff for any number of transmit and receive antennas, neglecting the rate loss due to trailing zeros. Next, we give an explicit generalized full-rate STTC construction for any number of states of the trellis, which achieves the optimal DM-G tradeoff for any number of transmit and receive antennas, neglecting the rate loss due to trailing zeros.

Item Type:	Journal Article
Publication:	IEEE Transactions on Information Theory
Publisher:	IEEE
Additional Information:	Copyright 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords:	Diversity-multiplexing tradeoff;Multiple-input–multipleoutput (MIMO);Space–time codes
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	25 Aug 2008
Last Modified:	19 Sep 2010 04:32
URI:	http://eprints.iisc.ac.in/id/eprint/9052

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