TY - T1 - Asymptotic Analysis of Rayleigh Product Channels : A Free Probability Approach SN - / UR - http://hdl.handle.net/10138/307118 T3 - A1 - Zheng, Zhong; Wei, Lu; Speicher, Roland; Muller, Ralf R.; Hämäläinen, Jyri; Corander, Jukka A2 - PB - Y1 - 2017 LA - eng AB - The Rayleigh product channel model is useful in capturing the performance degradation due to rank deficiency of MIMO channels. In this paper, such a performance degradation is investigated via the distribution of mutual information assuming the block fading channels and the uniform power transmission scheme. Using techniques of free probability theory, the asymptotic variance of mutual information is derived when the dimensions of the channel matrices approach infinity. In this asymptotic regime... VO - IS - SP - OP - KW - Central limit theorem; finite-SNR diversity-multiplexing tradeoff; free probability theory; MIMO; mutual information; Rayleigh product channels; DIVERSITY-MULTIPLEXING TRADEOFF; DIMENSIONAL RANDOM MATRICES; SAMPLE COVARIANCE MATRICES; SCATTERING MIMO CHANNELS; LARGE N ANALYSIS; FADING CHANNELS; OUTAGE CAPACITY; CORRELATED RAYLEIGH; 2ND-ORDER FREENESS; INFORMATION; 113 Computer and information sciences; 112 Statistics and probability N1 - PP - ER -