BER Upper Bound Expressions in Coded Two-Transmission Schemes With Arbitrarily Spaced Signal Constellations

Mehmet Cagri Ilter, Halim Yanikomeroglu, Pawel A. Dmochowski
2016 IEEE Communications Letters  
The main contribution of this letter is the derivation of an upper bound BER expression, as a function of distances between signal points, for arbitrary constellations, in a generic, two-transmission scheme such as relaying, HARQ, or CoMP. The approach utilizes the product-state matrix, and thus the arbitrarily chosen constellations together with the encoders do not need to satisfy the quasi-regularity property that includes geometrical uniformity and symmetry. The channel fading is modeled
more » ... ding is modeled using a Nakagami-m distribution, both with and without correlation between the two transmissions. We also allow for different path loss at each transmission. The results are valid for general coded schemes as long as a transfer function expression can be derived (convolutional codes and trellis coded modulation). The upper bounds are very accurate for BER values lower than 10 −2 for any chosen constellation.
doi:10.1109/lcomm.2015.2513775 fatcat:svqkh6kdlnea5bx5mxkj6wuxj4