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This paper studies the capacity of discrete-time multipath fading channels.It is assumed that the number of paths is finite, i.e., that the channel outputis influenced by the present and by the L previous channel inputs. Anoncoherent channel model is considered where neither transmitter nor receiverare cognizant of the fading's realization, but both are aware of its statistic.The focus is on capacity at high signal-to-noise ratios (SNR). In particular,the capacity pre-loglog - defined as the limiting ratio of the capacity tologlog SNR as SNR tends to infinity - is studied. It is shown that,irrespective of the number paths L, the capacity pre-loglog is 1.

On Multipath Fading Channels at High SNR