Rate-diversity tradeoff of space-time codes with fixed alphabet and optimal constructions for PSK modulation

Francis Lu; P. Vijay Kumar

doi:10.1109/TIT.2003.817469

Rate-diversity tradeoff of space-time codes with fixed alphabet and optimal constructions for PSK modulation

Francis Lu^*, P. Vijay Kumar

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Contribution to journal › Letter › peer-review

80 Scopus citations

Abstract

In this correspondence, we show that for any (Q × M) space-time code S having a fixed, finite signal constellation, there is a tradeoff between the transmission rate R and the transmit diversity gain v achieved by the code. The tradeoff is characterized by R ≤ Q - v + 1, where Q is the number of transmit antennas. When either binary phase-shift keying (BPSK) or quaternary phase-shift keying (QPSK) is used as the signal constellation, a systematic construction is presented to achieve the maximum possible rate for every possible value of transmit diversity gain.

Original language	English
Pages (from-to)	2747-2751
Number of pages	5
Journal	IEEE Transactions on Information Theory
Volume	49
Issue number	10
DOIs	https://doi.org/10.1109/TIT.2003.817469
State	Published - 1 Oct 2003

Keywords

Rate-diversity tradeoff
Space-time codes

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10.1109/TIT.2003.817469

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AB - In this correspondence, we show that for any (Q × M) space-time code S having a fixed, finite signal constellation, there is a tradeoff between the transmission rate R and the transmit diversity gain v achieved by the code. The tradeoff is characterized by R ≤ Q - v + 1, where Q is the number of transmit antennas. When either binary phase-shift keying (BPSK) or quaternary phase-shift keying (QPSK) is used as the signal constellation, a systematic construction is presented to achieve the maximum possible rate for every possible value of transmit diversity gain.

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Rate-diversity tradeoff of space-time codes with fixed alphabet and optimal constructions for PSK modulation

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