TY - GEN

T1 - On capacity of non-coherent Rayleigh Fading MIMO channels

AU - Perera, Rasika R.

AU - Nguyen, Kien

AU - Pollock, Tony S.

AU - Abhayapala, Thushara D.

PY - 2006

Y1 - 2006

N2 - This paper investigates the capacity of discrete time uncorrelated Rayleigh fading multiple input multiple output (MIMO) channels with no channel state information (CSI) at both the transmitter and the receiver. We prove that to achieve the capacity, the amplitude of the multiple input needs to have a discrete distribution with a finite number of mass points with one of them located at the origin. We show how to compute the capacity numerically in multi antenna configuration at any signal to noise ratio (SNR) with the discrete input using the Kuhn-Tucker condition for optimality. Furthermore, we show that at low SNR, the capacity with two mass points is optimal. Since the first mass point is necessarily located at the origin, we argue that at low SNR, on-off keying is optimal for any antenna number. As the number of receiver antennas increases, the maximum SNR at which two mass points are optimal decreases.

AB - This paper investigates the capacity of discrete time uncorrelated Rayleigh fading multiple input multiple output (MIMO) channels with no channel state information (CSI) at both the transmitter and the receiver. We prove that to achieve the capacity, the amplitude of the multiple input needs to have a discrete distribution with a finite number of mass points with one of them located at the origin. We show how to compute the capacity numerically in multi antenna configuration at any signal to noise ratio (SNR) with the discrete input using the Kuhn-Tucker condition for optimality. Furthermore, we show that at low SNR, the capacity with two mass points is optimal. Since the first mass point is necessarily located at the origin, we argue that at low SNR, on-off keying is optimal for any antenna number. As the number of receiver antennas increases, the maximum SNR at which two mass points are optimal decreases.

UR - http://www.scopus.com/inward/record.url?scp=33750934927&partnerID=8YFLogxK

M3 - Conference contribution

SN - 1424402131

SN - 9781424402137

T3 - Proceedings - 7th Australian Communications Theory Workshop, 2006

SP - 31

EP - 37

BT - Proceedings - 7th Australian Communications Theory Workshop, 2006

T2 - 7th Australian Communications Theory Workshop, 2006

Y2 - 1 February 2006 through 3 February 2006

ER -