Abstract
Two theoretical frameworks for computing the average bit or symbol error probability (ASER) of a broad class of coherent, differentially coherent and noncoherent communication systems with microdiversity reception are outlined. We restrict our analyses to four basic predetection diversity schemes, although this method applies to other diversity combining techniques as well. Our novel derivations rely upon the properties of the moment generating function (MGF) or the characteristic function (CHF) of the signal-to-noise ratio at the diversity combiner output, the use of alternative exponential forms for the complementary error functions or the knowledge of the Fourier transforms for the conditional error probabilities, and the application of a Gauss-Chebychev quadrature (GCQ) rule. The analytical expressions are sufficiently general to allow for arbitrary fading parameters as well as dissimilar mean signal strengths across the diversity branches. Moreover, our numerical method is computationally efficient, stable and it approximates the true value of ASER within any degree of accuracy.
This research was supported in part by a Strategic Project Grant form the Natural Sciences and Engineering Research Council (NSERC) of Canada.
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Annamalai, A., Tellambura, C., Bhargava, V.K. (2002). A Unified Approach to Performance Evaluation of Diversity systemson Fading Channels. In: Ganesh, R., Pahlavan, K., Zvonar, Z. (eds) Wireless Multimedia Network Technologies. The International Series in Engineering and Computer Science, vol 524. Springer, Boston, MA. https://doi.org/10.1007/0-306-47330-5_17
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DOI: https://doi.org/10.1007/0-306-47330-5_17
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