Numerical Study of Minimum Probability of Error Expression in a Digital Communication System with Intersymbol Interference

摘要

The report describes the application of an iterative method for solving a set of simultaneous non-linear equations which minimizes the probability of error in a digital communication system with intersymbol interference. The form of the optimum linear receiver for such a system as well as the equations to be solved are described in detail in the introduction. The equations are approximated by a numerical quadrature formula. In the following section, an iterative method for the solution of the approximating equations is described. The equations are put into a suitable form for applying the method; a starting value is given. The third section consists of an APL computer program which uses the method and a program description. In the last section, the technique is illustrated with four examples with varying degrees of intersymbol interference. The probability of error for the optimum linear receiver is plotted as a function of signal to noise ratio of the 'desired' signal. The appendix contains a brief discussion of the error incurred in using the quadrature formula. (Author)