Convergence analysis of performance-measure expressions for MIMO ZF under Rician fading

Constantin Siriteanu; Akimichi Takemura; Steven D. Blostein; Satoshi Kuriki; Hyundong Shin

doi:10.1109/AusCTW.2014.6766438

Convergence analysis of performance-measure expressions for MIMO ZF under Rician fading

Constantin Siriteanu, Akimichi Takemura, Steven D. Blostein, Satoshi Kuriki, Hyundong Shin

Research output: Contribution to conference › Paper › peer-review

2 Citations (Scopus)

Abstract

The performance of multiple-input/multiple-output (MIMO) communications systems employing spatial multiplexing and zero-forcing detection (ZF) has yet to be analyzed for several cases of practically-relevant Rician fading. For the special case of Rician-Rayleigh fading, we have recently derived a set of expressions for important MIMO ZF performance measures. They were obtained from the moment generating function of the signal-to-noise ratio (SNR) expressed in terms of the confluent hypergeometric function, i.e., an infinite-series. Herein, the prove the convergence of the ensuing infinite-series expressions obtained for the SNR probability density function, as well as for the ZF outage probability, average error probability, and ergodic capacity. For the ergodic-capacity infinite-series, we describe a computation method and discuss its numerical instability issues.

Original language	English
Pages	114-119
Number of pages	6
DOIs	https://doi.org/10.1109/AusCTW.2014.6766438
Publication status	Published - 2014
Event	2014 Australian Communications Theory Workshop, AusCTW 2014 - Sydney, NSW, Australia Duration: 3 Feb 2014 → 5 Feb 2014

Conference

Conference	2014 Australian Communications Theory Workshop, AusCTW 2014
Country/Territory	Australia
City	Sydney, NSW
Period	3/02/14 → 5/02/14

Keywords

Confluent hypergeometric function
MIMO
Rician (Ricean) fading
conver-gence
zero-forcing

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10.1109/AusCTW.2014.6766438

Cite this

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abstract = "The performance of multiple-input/multiple-output (MIMO) communications systems employing spatial multiplexing and zero-forcing detection (ZF) has yet to be analyzed for several cases of practically-relevant Rician fading. For the special case of Rician-Rayleigh fading, we have recently derived a set of expressions for important MIMO ZF performance measures. They were obtained from the moment generating function of the signal-to-noise ratio (SNR) expressed in terms of the confluent hypergeometric function, i.e., an infinite-series. Herein, the prove the convergence of the ensuing infinite-series expressions obtained for the SNR probability density function, as well as for the ZF outage probability, average error probability, and ergodic capacity. For the ergodic-capacity infinite-series, we describe a computation method and discuss its numerical instability issues.",

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AU - Siriteanu, Constantin

AU - Takemura, Akimichi

AU - Blostein, Steven D.

AU - Kuriki, Satoshi

AU - Shin, Hyundong

PY - 2014

Y1 - 2014

N2 - The performance of multiple-input/multiple-output (MIMO) communications systems employing spatial multiplexing and zero-forcing detection (ZF) has yet to be analyzed for several cases of practically-relevant Rician fading. For the special case of Rician-Rayleigh fading, we have recently derived a set of expressions for important MIMO ZF performance measures. They were obtained from the moment generating function of the signal-to-noise ratio (SNR) expressed in terms of the confluent hypergeometric function, i.e., an infinite-series. Herein, the prove the convergence of the ensuing infinite-series expressions obtained for the SNR probability density function, as well as for the ZF outage probability, average error probability, and ergodic capacity. For the ergodic-capacity infinite-series, we describe a computation method and discuss its numerical instability issues.

AB - The performance of multiple-input/multiple-output (MIMO) communications systems employing spatial multiplexing and zero-forcing detection (ZF) has yet to be analyzed for several cases of practically-relevant Rician fading. For the special case of Rician-Rayleigh fading, we have recently derived a set of expressions for important MIMO ZF performance measures. They were obtained from the moment generating function of the signal-to-noise ratio (SNR) expressed in terms of the confluent hypergeometric function, i.e., an infinite-series. Herein, the prove the convergence of the ensuing infinite-series expressions obtained for the SNR probability density function, as well as for the ZF outage probability, average error probability, and ergodic capacity. For the ergodic-capacity infinite-series, we describe a computation method and discuss its numerical instability issues.

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KW - MIMO

KW - Rician (Ricean) fading

KW - conver-gence

KW - zero-forcing

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T2 - 2014 Australian Communications Theory Workshop, AusCTW 2014

Y2 - 3 February 2014 through 5 February 2014

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Convergence analysis of performance-measure expressions for MIMO ZF under Rician fading

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Keywords

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