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Capacity-Achieving Input Phase Distributions for Noncoherent Rayleigh-Fading Channels with Memory

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2 Author(s)
de la Kethulle de Ryhove, S. ; Dept. of Electron. & Telecommun., Norwegian Univ. of Sci. & Technol., Trondheim, Norway ; Oien, G.E.

The present paper considers single-input single-output non-coherent Rayleigh fading channels in which the memory is modelled by a Gauss-Markov process, and in which the magnitude of the input signal is constrained in an arbitrary manner. A contribution is made to the understanding of such channels by proving that, for any given input magnitude distribution, it is optimum from a capacity perspective to choose the phase of the input independent and identically distributed, with a distribution which is uniform over the interval [-pi, pi). In particular, if the capacity of such a channel can be achieved with an input distribution f, then it is also achievable by an input distribution f' having the same magnitude distribution and a phase distribution with the above property.

Published in:

Signal Processing Advances in Wireless Communications, 2006. SPAWC '06. IEEE 7th Workshop on

Date of Conference:

2-5 July 2006