CTH12-1: Efficient Calculation of BER for Arbitrary Modulation and Signaling in Fading Channels

We present a numerically efficient method to evaluate exactly uncoded bit error rate for transmission in fading channels. The presented method deals with arbitrary two-dimensional constellation, arbitrary bits-to-symbols mapping, and with non-uniform signaling. Compared to the bounding techniques, treating the problem at the same level of generality, the proposed method offers not only accuracy but also is numerically much more efficient: for moderate constellation size, the complexity reduction may reach two orders of magnitude. The operation of the proposed method is illustrated with numerical examples considering non-uniform signaling in transmission over Nakagami-m fading channel.