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In this paper, the end-to-end performance of a single-branch two-hop amplify-and-forward (AF) relaying network in a mixed Rayleigh-Nakagami-m fading environment, is investigated. Four different fading scenarios and three standard relay configurations for each scenario are considered. Exact analytical expressions for the outage probability and tight upper bounds for the ergodic capacity are derived. Results of Monte Carlo simulations are provided to verify the accuracy of the analytical results.

Bit Interleaved Coded Modulation (BICM) was first suggested to improve the performance of Trellis Coded Modulation (TCM) over Rayleigh fading channels. It was shown that BICM with Iterative Decoding (BICM-ID) can be used to provide excellent performance over both gaussian and Rayleigh fading channels. The transmitter of BICM-ID system consists of three serially concatenated blocks which are, a convolutional encoder, a bit interleaver and a binary mapping function which maps blocks of coded bits to signal constellation points. It has been shown that when signal constellation, bit interleaver and convolutional encoder are fixed, signal mapping has a critical influence to the system's error performance. This paper studies the effects of signal mappings to the performance of a BICM-ID system using 8PSK constellation operating over a Rayleigh fading channel. The Bit Error Rate (BER) curves are used to determine the most attractive mapping. Simulation results for different mappings are also provided and discussed.

In this paper, by differentiating the entropy’s generating function (i.e., h(t) = R SX̄F tX (x)dx) using a Caputo fractional-order derivative, we derive a generalized non-logarithmic fractional cumulative residual entropy (FCRE). When the order of differentiation α → 1, the ordinary Rao CRE is recovered, which corresponds to the results from first-order ordinary differentiation. Some properties and examples of the proposed FCRE are also presented.