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BER Upper Bound Expressions in Coded Two-Transmission Schemes With Arbitrarily Spaced Signal Constellations | IEEE Journals & Magazine | IEEE Xplore

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


Abstract:

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, i...Show More

Abstract:

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 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.
Published in: IEEE Communications Letters ( Volume: 20, Issue: 2, February 2016)
Page(s): 248 - 251
Date of Publication: 31 December 2015

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