Schur Complement Based Analysis of MIMO Zero-Forcing for Rician Fading

Constantin Siriteanu, Akimichi Takemura, Satoshi Kuriki, Donald Richards, Hyundong Shin

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

For multiple-input/multiple-output (MIMO) spatial multiplexing with zero-forcing detection (ZF), signal-to-noise ratio (SNR) analysis for Rician fading involves the cumbersome noncentral-Wishart distribution (NCWD) of the transmit sample-correlation (Gramian) matrix. An approximation with a virtual CWD previously yielded for the ZF SNR an approximate (virtual) Gamma distribution. However, analytical conditions qualifying the accuracy of the SNR-distribution approximation were unknown. Therefore, we have been attempting to exactly characterize ZF SNR for Rician fading. Our previous attempts succeeded only for the sole Rician-fading stream under Rician-Rayleigh fading, by writing the ZF SNR as scalar Schur complement (SC) in the Gramian. Herein, we pursue a more general matrix-SC-based analysis to characterize SNRs when several streams may undergo Rician fading. On one hand, for full-Rician fading, the SC distribution is found to be exactly a CWD if and only if a channel-mean-correlation condition holds. Interestingly, this CWD then coincides with the virtual CWD ensuing from the approximation. Thus, under the condition, the actual and virtual SNR-distributions coincide. On the other hand, for Rician-Rayleigh fading, the matrix-SC distribution is characterized in terms of the determinant of a matrix with elementary-function entries, which also yields a new characterization of the ZF SNR. Average error probability results validate our analysis vs. simulation.

Original languageEnglish (US)
Article number6960107
Pages (from-to)1757-1771
Number of pages15
JournalIEEE Transactions on Wireless Communications
Volume14
Issue number4
DOIs
StatePublished - Apr 1 2015

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Rician Fading
Zero-forcing
Schur Complement
Multiple-input multiple-output (MIMO)
Signal to noise ratio
Signal Detection
Fading (radio)
Rayleigh Fading
Rayleigh fading
Approximation
Wishart Distribution
Spatial multiplexing
Elementary Functions
Correlation Matrix
Gamma distribution
Error Probability
Multiplexing
Determinant
Scalar
If and only if

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

Siriteanu, Constantin ; Takemura, Akimichi ; Kuriki, Satoshi ; Richards, Donald ; Shin, Hyundong. / Schur Complement Based Analysis of MIMO Zero-Forcing for Rician Fading. In: IEEE Transactions on Wireless Communications. 2015 ; Vol. 14, No. 4. pp. 1757-1771.
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Schur Complement Based Analysis of MIMO Zero-Forcing for Rician Fading. / Siriteanu, Constantin; Takemura, Akimichi; Kuriki, Satoshi; Richards, Donald; Shin, Hyundong.

In: IEEE Transactions on Wireless Communications, Vol. 14, No. 4, 6960107, 01.04.2015, p. 1757-1771.

Research output: Contribution to journalArticle

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