Non-coherent Reception for Multiple Antenna Systems
Prof. Ranjan K. Mallik
Department of Electrical Engineering
Indian Institute of Technology Delhi
Hauz Khas, New Delhi 110016, India
Joint work with:
Ross D. Murch
Department of Electronic and Computer Engineering
The Hong Kong University of Science and Technology
Clear Water Bay, Kowloon, Hong Kong
Shiny Singh
Department of Electrical and Computer Engineering
Carnegie Mellon University, Pittsburgh, PA 15213, USA
Sanyam Mehra
The Boston Consulting Group (India) Private Limited
14th Floor, Nariman Bhavan, 227 Nariman Point, Mumbai 400021, India
Abstract:
A single-input multiple-output system (SIMO) employing multi-level amplitude-shift keying (ASK) and a multiple-input multiple-output (MIMO) spatial multiplexing system employing on-off binary ASK and two transmit antennas in flat Rayleigh fading with noncoherent reception are considered. For the SIMO system, the symbol error probability (SEP) is derived in closed form from the statistics of the maximum likelihood receiver decision variable. A method of determining the optimal signal amplitude levels that minimize the SEP subject to a total signal energy constraint is formulated. For high signal-to-noise ratio (SNR), the asymptotic SEP and the diversity order are also presented. It is found that at high SNRs, the optimal signal amplitude levels follow an approximately geometric progression; this is different from the case of levels in arithmetic progression. The improved error performance of ASK with optimal signal amplitude levels in comparison with that of ASK with levels in arithmetic progression is shown through numerical results. For the MIMO system with two transmit antennas, transmit correlation, and a diagonal precoder, the SEP, as a function of the signal amplitude levels and the effective precoder matrix, is obtained. At high SNRs, it is found that the SEP tends to reach saturation. The optimal precoder parameter that minimizes the saturation value of the SEP is obtained. Results show that the optimal precoder parameter is almost independent of the number of receive antennas when the number of receive antennas is large. It is also observed that the error performance of MIMO noncoherent reception is better than that of MIMO coherent reception with imperfect channel state information for a certain range of SNR.