Capacity of space-time block codes in MIMO Rayleigh fading channels with adaptive transmission and estimation errors

• Published in: IEEE transactions on wireless communications Vol. 4; no. 5; pp. 2568 - 2578
• Main Authors: Maaref, A., Aissa, S.
• Format: Journal Article
• Language: English
• Published: Piscataway, NJ IEEE 01.09.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive transmission; Antennas; Applied sciences; Block codes; Channel state information; channel-estimation errors; Channels; Closed-form solution; Codes; Decoding; Estimation error; Exact sciences and technology; Exact solutions; Fading; Mathematical analysis; Mathematical models; MIMO; multiple-input multiple-output (MIMO) systems; Permissible error; Policies; Radiocommunications; Receivers; Shannon capacity; Signal to noise ratio; space-time block coding (STBC); State estimation; Studies; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Transmitters; Transmitters. Receivers; Block code; Space-time codes; Parameter estimation; Error estimation; Resource allocation; Transmitter; Mapping; Adaptive estimation; Power allocation; Implementation; multiple-input multiple-output (MIMO) systems; Channel estimation; Adaptive transmission; space-time block coding (STBC); Shannon capacity; Receiving antenna; Fading channels; MIMO system; Estimation error; Gaussian channel; Rayleigh channels; Transmission channel; Decoding; channel-estimation errors; Transmitting antenna; Resource management; Transmission error; Signal to noise ratio
• ISSN: 1536-1276; 1558-2248
• DOI: 10.1109/TWC.2005.853968

Orthogonal space-time block coding (STBC) has recently raised a lot of research interest due to its inherent mathematical feature that enables simple linear decoding at the receiver and provides full diversity over the multiple-input multiple-output (MIMO) fading channel. In this paper, we derive general closed-form expressions for the Shannon capacity achieved by this transmit-diversity scheme over Rayleigh fading channels under adaptive transmission and channel-estimation errors. Adaptive transmission can be performed on a frame-by-frame basis, provided that a channel state information (CSI), consisting of the signal-to-noise ratio (SNR) level as estimated by the receiver, is fed back to the transmitter, thereby allowing for different compromises between the achievable capacity and the corresponding implementation complexity. The closed-form capacity formulas, derived for different power- and rate-allocation policies, are expressed in terms of the number of transmit and receive antennas, the code rate of the STBC mapping, and a single parameter capturing Gaussian channel-estimation errors. Numerical results showing the effects of these parameters on the capacity of STBC subject to the adaptive-transmission policies under consideration are provided.