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A close-form expression of the exact pair-wise error probability (PEP) for space-time (S-T) codes in Rayleigh fading channel is derived using the probability-density function (PDF) of a sum of independent exponential distributed random variables. Since the expression requires evaluating the coefficients for partial fraction expansion, an easy analytical way is proposed for doing this. The exact PEP...
The exact pair-wise error probabilities (PEP) formulas developed for space-time (S-T) coding so far either are not in the closed forms or have the closed forms but need to calculate very complicated high order derivatives, and so are not easy to use. This paper derives, for S-T coding in block Rayleigh fading, a new exact PEP formula which is expressed as the summation of a series of terms to the...
n this paper, an exact closed-form formula for the pair-wise error probability (PEP) is derived for two transmit and two receive antennas MIMO systems using the probability density function (PDF) of the modified Euclidean distance. An exact union bound formed by this formula, together with the asymptotic union bound, are studied for optimization and bit-error rate (BER) evaluation of space-time (S-T)...
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