Elements of information theory
Elements of information theory
Bounds on the fading number of multiple-input single-output fading channels with memory
Proceedings of the 2006 international conference on Wireless communications and mobile computing
Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading
IEEE Transactions on Information Theory
The capacity of discrete-time memoryless Rayleigh-fading channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels
IEEE Transactions on Information Theory
Capacity of noncoherent time-selective Rayleigh-fading channels
IEEE Transactions on Information Theory
On the asymptotic capacity of stationary Gaussian fading channels
IEEE Transactions on Information Theory
The fading number of single-input multiple-output fading channels with memory
IEEE Transactions on Information Theory
The Fading Number of Memoryless Multiple-Input Multiple-Output Fading Channels
IEEE Transactions on Information Theory
| Hi-index | 754.84 |
The fading number of a general (not necessarily Gaussian) regular multiple-input multiple-output (MIMO) fading channel with arbitrary temporal and spatial memory is derived. The channel is assumed to be noncoherent, i.e., neither receiver nor transmitter have knowledge about the channel state, but they only know the probability law of the fading process. The fading number is the second term in the asymptotic expansion of channel capacity when the signal-to-noise ratio (SNR) tends to infinity. It is related to the border of the high-SNR region with double-logarithmic capacity growth. It is shown that the fading number can be achieved by an input that is the product of two independent processes: a stationary and circularly symmetric direction- (or unit-) vector process whose distribution is chosen such that the fading number is maximized, and a nonnegative magnitude process that is independent and identically distributed (i.i.d.) and escapes to infinity. Additionally, in the more general context of an arbitrary stationary channel model satisfying some weak conditions on the channel law, it is shown that there exists an optimal input distribution that is stationary apart from some edge effects.