TY - JOUR

T1 - Unified large-system analysis of MMSE and adaptive least squares receivers for a class of random matrix channels

AU - Peacock, Matthew J.M.

AU - Collings, Ian B.

AU - Honig, Michael L.

N1 - Funding Information:
Manuscript received February 8, 2005; revised August 26, 2005. This work was supported in part by the U.S. Army Research Office under Grant DAAD19-03-1-0119, the National Science Foundation under Grant CCR-0310809, and by the CSIRO ICT Centre, Australia. The material in this paper was presented in part at the IEEE International Symposium on Information Theory, Adelaide, SA, Australia, September 2005.

PY - 2006/8

Y1 - 2006/8

N2 - We present a unified large-system analysis of linear receivers for a class of random matrix channels. The technique unifies the analysis of both the minimum-mean-squared-error (MMSE) receiver and the adaptive least-squares (ALS) receiver, and also uses a common approach for both random independent, identically distributed (i.i.d.) and random orthogonal precoding. We derive expressions for the asymptotic signal-to-interference-plus-noise ratio (SINR) of the MMSE receiver, and both the transient and steady-state SINR of the ALS receiver, trained using either i.i.d. data sequences or orthogonal training sequences. The results are in terms of key system parameters, and allow for arbitrary distributions of the power of each of the data streams and the eigenvalues of the channel correlation matrix. In the case of the ALS receiver, we allow a diagonal loading constant and an arbitrary data windowing function. For i.i.d. training sequences and no diagonal loading, we give a fundamental relationship between the transient/ steady-state SINR of the ALS and the MMSE receivers. We demonstrate that for a particular ratio of receive to transmit dimensions and window shape, all channels which have the same MMSE SINR have an identical transient ALS SINR response. We demonstrate several applications of the results, including an optimization of information throughput with respect to training sequence length in coded block transmission.

AB - We present a unified large-system analysis of linear receivers for a class of random matrix channels. The technique unifies the analysis of both the minimum-mean-squared-error (MMSE) receiver and the adaptive least-squares (ALS) receiver, and also uses a common approach for both random independent, identically distributed (i.i.d.) and random orthogonal precoding. We derive expressions for the asymptotic signal-to-interference-plus-noise ratio (SINR) of the MMSE receiver, and both the transient and steady-state SINR of the ALS receiver, trained using either i.i.d. data sequences or orthogonal training sequences. The results are in terms of key system parameters, and allow for arbitrary distributions of the power of each of the data streams and the eigenvalues of the channel correlation matrix. In the case of the ALS receiver, we allow a diagonal loading constant and an arbitrary data windowing function. For i.i.d. training sequences and no diagonal loading, we give a fundamental relationship between the transient/ steady-state SINR of the ALS and the MMSE receivers. We demonstrate that for a particular ratio of receive to transmit dimensions and window shape, all channels which have the same MMSE SINR have an identical transient ALS SINR response. We demonstrate several applications of the results, including an optimization of information throughput with respect to training sequence length in coded block transmission.

KW - Code-division multiple access (CDMA)

KW - Large-system analysis

KW - Minimum mean-squared error (MMSE)

KW - Multiple-input multiple-output (MIMO)

KW - Recursive least squares

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U2 - 10.1109/TIT.2006.878214

DO - 10.1109/TIT.2006.878214

M3 - Article

AN - SCOPUS:33746621343

SN - 0018-9448

VL - 52

SP - 3567

EP - 3600

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 8

ER -