DocumentCode :
1051341
Title :
Unified Large-System Analysis of MMSE and Adaptive Least Squares Receivers for a Class of Random Matrix Channels
Author :
Peacock, Matthew J M ; Collings, Iain B. ; Honig, Michael L.
Author_Institution :
ICT, CSIRO, Sydney, NSW
Volume :
52
Issue :
8
fYear :
2006
Firstpage :
3567
Lastpage :
3600
Abstract :
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
Keywords :
block codes; channel coding; correlation methods; eigenvalues and eigenfunctions; least mean squares methods; matrix algebra; optimisation; precoding; receivers; sequences; transient response; ALS receiver; MMSE receiver; adaptive least-square; arbitrary data windowing function; channel correlation matrix; coded block transmission; diagonal loading constant; eigenvalue; i.i.d. data sequence; independent-identically distributed sequence; key system parameter; minimum-mean-squared-error; optimization; orthogonal precoding; training sequence; transient response; unified large-system analysis; Australia; Autocorrelation; Channel state information; Eigenvalues and eigenfunctions; Laboratories; Least squares methods; MIMO; Shape; Signal to noise ratio; Steady-state; Code-division multiple access (CDMA); large- system analysis; minimum mean-squared error (MMSE); multiple-input multiple-output (MIMO); recursive least squares;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2006.878214
Filename :
1661836
Link To Document :
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