Analytical performance of MIMO zero-forcing receivers in correlated Rayleigh fading environments

Kiessling, M.; Speidel, Joachim

doi:10.1109/spawc.2003.1318987

Cited by 77 publications

(28 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, gaps remain in our ability to evaluate MIMO performance, based on analysis, for realistic channel propagation conditions and relatively simple transceiver processing: e.g., for MIMO spatialmultiplexing for Rician fading and linear detection methods, such as zero-forcing detection (ZF) [8] [9] or minimum mean-square-error detection (MMSE) [10].…”

Section: A Background Motivation Scope and Main Assumptionsmentioning

confidence: 99%

See 1 more Smart Citation

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

Siriteanu

Takemura

Kuriki

et al. 2015

IEEE Trans. Wireless Commun.

View full text Add to dashboard Cite

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 it 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-meancorrelation 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 determinant of matrix with elementary-function entries, which also yields a new characterization of the ZF SNR. Average error probability results validate our analysis vs. simulation. Index TermsMIMO, non/central-Wishart matrix distribution, Rayleigh and Rician (Ricean) fading, Schur complement, zero-forcing.C. Siriteanu is with the

show abstract

Section: A Background Motivation Scope and Main Assumptionsmentioning

confidence: 99%

“…For analysis tractability, we assume, as in [8] [14], that the receive-side correlation is zero and that any row g H r,norm of H r,norm is distributed as g r,norm ∼ CN (0, R T ), where R T is Hermitian (i.e.,…”

Section: Signal Channel and Noise Modelsmentioning

confidence: 99%

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

Siriteanu

Takemura

Kuriki

et al. 2015

IEEE Trans. Wireless Commun.

View full text Add to dashboard Cite

show abstract

“…For the transmit-correlated Rayleigh channels, the SINR after ZF receivers was shown as a Gamma distribution [10], which was used in [11] to obtain the BER approximations, and the SINR PDF for the multiuser MIMO interference alignment was shown as an exponential distribution [12]. Some symbol error rate (SER) approximations for MIMO ZF receivers in the correlated Rayleigh channels were derived in [13].…”

Section: Performance Analysis and High-snr Power Allocation For Mimo mentioning

confidence: 99%

Performance Analysis and High-SNR Power Allocation for MIMO ZF Receivers with a Precoder in Transmit-Correlated Rayleigh Channels

Kim

Chung

et al. 2012

IEEE Commun. Lett.

View full text Add to dashboard Cite

In this letter, the multiple-input multiple-output (MIMO) system with a precoder is considered in the transmitcorrelated Rayleigh channels. We especially target the MIMO system employing zero forcing receivers. Based on random matrix theory, we first derive the exact probability density function (PDF) of the signal-to-interference-plus-noise ratio (SINR). Using the derived SINR PDF and a close approximation of the Gaussian Q-function, we derive a tight closed-form approximation of the symbol error rate (SER). In the high signal-to-noise ratio (SNR) regime, we also propose a high-SNR power allocation (HPA) by minimizing the global SER approximation under the total power constraint. Our SER analysis suggests that the SER approximation can be used to estimate the error probability. At high SNRs, the computationally efficient HPA converging to the optimal PA achieves noticeable performance gain over the equal PA, particularly in the high transmit correlation scenario. Furthermore, the performance gain of the proposed HPA increases with the diversity order.Index Terms-Correlated channels, multiple-input multipleoutput (MIMO), signal-to-interference-plus-noise ratio (SINR), symbol error rate (SER), zero forcing (ZF).

show abstract

“…and 2 F 1 denotes the hypergeometric function [20]. For the special case where the number of TX and RX branches is equal, i.e., R = 1, we can use the findings of [21] for AWGN distorted ZF-based MIMO systems, which show that (63) reduces to…”

Section: B Rx Iq Imbalancementioning

confidence: 99%

Performance Analysis of Zero-IF MIMO OFDM Transceivers with IQ Imbalance

Schenk¹,

Fledderus²,

Smulders³

2007

JCM

View full text Add to dashboard Cite

Abstract-This contribution analytically studies the influence of IQ mismatch on the performance of multiple-antenna orthogonal frequency division multiplexing (OFDM) systems based on the zero-IF architecture. First a system model for such a multiple-input multiple-output (MIMO) OFDM system experiencing both transmitter (TX) and receiver (RX) IQ imbalance is derived. This is used to obtain analytical expressions for the probability of error in symbol detection for MIMO OFDM systems in Rayleigh faded multipath channels. The derived results can be used to find matching specifications for the TX-and RX-branches for different multicarrier MIMO systems. It is concluded that in fading channels RX IQ imbalance is on average more destructive than TX IQ imbalance. Additionally, it is concluded that the addition of extra RX antennas is beneficial to reduce the dependence on RX IQ imbalance, but increases at the same time the impact of TX IQ imbalance.

show abstract

Analytical performance of MIMO zero-forcing receivers in correlated Rayleigh fading environments

Cited by 77 publications

References 7 publications

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

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

Performance Analysis and High-SNR Power Allocation for MIMO ZF Receivers with a Precoder in Transmit-Correlated Rayleigh Channels

Performance Analysis of Zero-IF MIMO OFDM Transceivers with IQ Imbalance

Contact Info

Product

Resources

About