Generalized linear precoder and decoder design for MIMO channels using the weighted MMSE criterion

Author

Sampath, Hemanth ; Stoica, Petre ; Paulraj, Arogyaswami

Author_Institution

Inf. Syst. Lab., Stanford Univ., CA, USA

Volume

49

Issue

12

fYear

2001

fDate

12/1/2001 12:00:00 AM

Firstpage

2198

Lastpage

2206

Abstract

We address the problem of designing jointly optimum linear precoder and decoder for a MIMO channel possibly with delay-spread, using a weighted minimum mean-squared error (MMSE) criterion subject to a transmit power constraint. We show that the optimum linear precoder and decoder diagonalize the MIMO channel into eigen subchannels, for any set of error weights. Furthermore, we derive the optimum linear precoder and decoder as functions of the error weights and consider specialized designs based on specific choices of error weights. We show how to obtain: (1) the maximum information rate design; (2) QoS-based design (we show how to achieve any set of relative SNRs across the subchannels); and (3) the (unweighted) MMSE and equal-error design for fixed rate systems

Keywords

MIMO systems; channel coding; decoding; delays; fading channels; least mean squares methods; noise; optimisation; quality of service; MIMO channels; MMSE criterion; QoS-based design; SNR; delay-spread; eigen subchannels; equal-error design; fixed rate systems; flat-fading channel; generalized linear decoder design; generalized linear precoder design; maximum information rate design; optimum linear decoder; optimum linear precoder; unweighted MMSE; weighted MMSE criterion; weighted minimum mean-squared error; Decoding; Delay; Estimation error; Information rates; Information systems; Laboratories; MIMO; Throughput; Transmitters; Transmitting antennas;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.974266

Filename

974266