Mathematical Model for Bit-error-rate of a Spread-Spectrum System

Bit-error-rate (BER) is known to be an important index for measuring the performance of wireless communication systems. The use of software simulation is common for modelling BER characteristics of spread-spectrum systems, but analytic solutions for the same are not readily available. This paper presents a mathematical (analytic) model developed by the author for BER of a spread-spectrum system. The model was tested for different sets of even- and odd-degree Gold codes, generated from appropriate combination of preferred pairs of m-sequences. The outcome of the mathematical model was compared with results of software simulation carried out for the system performance. The two sets of results were found to agree closely, thereby validating the mathematical model.