Binary communications through noisy, non-Gaussian channels

Abstract

New and unifying analytical tools are developed and used to evaluate the bit error probability, false alarm and detection probabilities that result when binary information is communicated through a random channel further disturbed by additive white Gaussian noise. The class of channels modeled here are those which envelop the received electric field with an arbitrary space-time complex envelope. The complex Gaussian envelope, being a special case, yields the Rayleigh and Rice fading statistics. Considerable insight into the problem of communicating through a complex non-Gaussian fading channel is obtained by decomposing the performance measures into the sum of two terms, viz., one attributable to the usually assumed complex Gaussian envelope plus a residual performance term expressed as a series expansion in terms of multidimensional Hermite polynomials whose coefficients are the channel quasi-moments. Finally, a numerical example is presented in which the theory is applied to a specific non-Gaussian channel.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>