We look for examples of totally real number fields with large regulator and inert small primes inside some families of cyclotomic fields. This problem is motivated by the design of wiretap codes for fast fading Rayleigh channels.

This paper presents a general fading distribution – the αDistribution – that includes the Nakagami-m and the Weibull as special cases. One-Sided Gaussian, Rayleigh, and Negative Exponential distributions are also special cases of the αDistribution.

We consider bit-interleaved coded modulation with iterative decoding (BICM-ID) for bandwidth-efficient transmission over Rayleigh fading channels. We propose the design criteria that utilize a large Hamming distance inherited in a low-rate code and a new labeling technique designed specifically for fading channels. This results in large coding gain over noniterative coded modulation and perform...

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T -periodic solutions for a kind of Rayleigh equation with a deviating argument of the form x′′ + f(x′(t)) + g(t, x(t− τ(t))) = p(t).