Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Elements of information theory
Elements of information theory
Fading channels: information-theoretic and communications aspects
IEEE Transactions on Information Theory
Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels
IEEE Transactions on Information Theory
On the asymptotic capacity of stationary Gaussian fading channels
IEEE Transactions on Information Theory
Capacity Per Unit Energy of Fading Channels With a Peak Constraint
IEEE Transactions on Information Theory
A Coding Theorem for a Class of Stationary Channels With Feedback
IEEE Transactions on Information Theory
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The capacity of peak-power limited, single-antenna, noncoherent, flat-fading channels with memory is considered. The emphasis is on the capacity pre-log, i.e., on the limiting ratio of channel capacity to the logarithm of the signal-to-noise ratio (SNR), as the SNR tends to infinity. It is shown that, among all stationary and ergodic fading processes of a given spectral distribution function and whose law has no mass point at zero, the Gaussian process gives rise to the smallest pre-log. The assumption that the law of the fading process has no mass point at zero is essential in the sense that there exist stationary and ergodic fading processes whose law has a mass point at zero and that give rise to a smaller pre-log than the Gaussian process of equal spectral distribution function. An extension of these results to multiple-input single-output (MISO) fading channels with memory is also presented.