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

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.

[1]  John G. Proakis,et al.  Digital Communications , 1983 .

[2]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[3]  Jian Yang,et al.  On joint transmitter and receiver optimization for multiple-input-multiple-output (MIMO) transmission systems , 1994, IEEE Trans. Commun..

[4]  John M. Cioffi,et al.  Spatio-temporal coding for wireless communications , 1996, Proceedings of GLOBECOM'96. 1996 IEEE Global Telecommunications Conference.

[5]  Gerard J. Foschini,et al.  Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas , 1996, Bell Labs Technical Journal.

[6]  Won Mee Jang,et al.  Joint transmitter/receiver optimization in synchronous multiuser communications over multipath channels , 1996, Proceedings of MILCOM '96 IEEE Military Communications Conference.

[7]  Andrea J. Goldsmith,et al.  Adaptive coded modulation for fading channels , 1997, Proceedings of ICC'97 - International Conference on Communications.

[8]  A. Robert Calderbank,et al.  Space-Time Codes for High Data Rate Wireless Communications : Performance criterion and Code Construction , 1998, IEEE Trans. Inf. Theory.

[9]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[10]  Branimir R. Vojcic,et al.  Joint transmitter-receiver optimization in synchronous multiuser communications over multipath channels , 1998, IEEE Trans. Commun..

[11]  John M. Cioffi,et al.  Spatio-temporal coding for wireless communication , 1998, IEEE Trans. Commun..

[12]  Andrea J. Goldsmith,et al.  Adaptive coded modulation for fading channels , 1998, IEEE Trans. Commun..

[13]  Vahid Tarokh,et al.  Space-time coded OFDM for high data-rate wireless communication over wideband channels , 1998, VTC '98. 48th IEEE Vehicular Technology Conference. Pathway to Global Wireless Revolution (Cat. No.98CH36151).

[14]  Anna Scaglione,et al.  Redundant filterbank precoders and equalizers. I. Unification and optimal designs , 1999, IEEE Trans. Signal Process..

[15]  P. Maher,et al.  Handbook of Matrices , 1999, The Mathematical Gazette.

[16]  A.J. Paulraj,et al.  Joint transmit and receive optimization for high data rate wireless communication using multiple antennas , 1999, Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers (Cat. No.CH37020).

[17]  A. Robert Calderbank,et al.  Combined Array Processing and Space-Time Coding , 1999, IEEE Trans. Inf. Theory.

[18]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[19]  Anna Scaglione,et al.  Filterbank Transceivers Optimizing Information Rate in Block Transmissions over Dispersive Channels , 1999, IEEE Trans. Inf. Theory.

[20]  A. Robert Calderbank,et al.  Space-time block coding for wireless communications: performance results , 1999, IEEE J. Sel. Areas Commun..

[21]  Helmut Bölcskei,et al.  On the capacity of OFDM-based multi-antenna systems , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[22]  P. Stoica,et al.  A generalized space-time linear precoder and decoder design using the weighted MMSE criterion , 2000, Conference Record of the Thirty-Fourth Asilomar Conference on Signals, Systems and Computers (Cat. No.00CH37154).

[23]  Gorazd Kandus,et al.  Multiple-Input Multiple-Output Wireless Systems , 2003 .