Title :
Exact pairwise error probability of space-time codes
Author :
Biglieri, Ezio ; Taricco, Giorgio
Author_Institution :
Dipt. di Elettronica, Politecnico di Torino, Italy
Abstract :
We describe a simple technique for the numerical calculation, within any desired degree of accuracy, of the pairwise error probability (PEP) of space-time codes. This method is very general, and applies to the calculation of the probability P(ν > x), where ν and x are independent random variables whose moment-generating functions (MGF) are known. In particular, it applies to the calculation of the expectation E[Q(√ξ)], where Q(·) is the Gaussian tail function and ξ is a random variable whose moment-generating function is known.
Keywords :
Rayleigh channels; Reed-Muller codes; binary codes; coding errors; error statistics; quadrature phase shift keying; random processes; 4-state QPSK space-time code; Gauss-Chebyshev quadrature; Gaussian tail function; Rayleigh block fading channel; binary Reed-Muller code; exact pairwise error probability; expectation; independent Rayleigh fading channel; independent fading channel; independent random variables; moment-generating functions; multiple-antenna fading channel; space-time codes; Convergence; Error probability; Fading; Gaussian processes; Pairwise error probability; Random variables; Space time codes; Tail;
Conference_Titel :
Communications, 2002. ICC 2002. IEEE International Conference on
Print_ISBN :
0-7803-7400-2
DOI :
10.1109/ICC.2002.997075