Title :
Maximum entropy and average error rates in digital communication systems
Author :
Solms, Fritz ; Van Rooyen, Pieter ; Kunicki, Jan
Author_Institution :
Dept. of Appl. Math., RAU, Johannesburg, South Africa
Abstract :
In digital communication systems, the criteria of merit of system performance is usually average probability of error as function of signal-to-noise ratio. The Gauss quadrature rule (GQR) formulation and the maximum entropy method (MEM) have been proposed in the literature to determine and calculate an unknown distribution and average error rate from moments. We compare the accuracy of these two methods when a distribution is estimated and the average error rate is calculated. It is shown that the MEM needs significantly less moments when the distribution is estimated from its moments than the GQR formulation, and that the GQR formulation fails under certain conditions when average error rate is calculated. Specifically, the latter is encountered at high signal-to-noise ratios, where the MEM still delivers reliable results
Keywords :
digital communication; error statistics; maximum entropy methods; statistical analysis; Gauss quadrature rule; MEM; SNR; average error rate; average error rates; average probability; digital communication systems; distribution; high signal-to-noise ratios; maximum entropy method; maximum entropy rates; moments; signal-to-noise ratio; system performance; Digital communication; Entropy; Error analysis; Error probability; Gaussian processes; Intersymbol interference; Mathematics; Polynomials; Signal to noise ratio; Telecommunications;
Conference_Titel :
Communications and Signal Processing, 1994. COMSIG-94., Proceedings of the 1994 IEEE South African Symposium on
Conference_Location :
Stellenbosch
Print_ISBN :
0-7803-1998-2
DOI :
10.1109/COMSIG.1994.512353
