An analysis method for the performance comparison of communication systems

This paper demonstrates the application of cumulant equations to the analysis of non-recursive systems with polynomial characteristics, as they are often found in the baseband equivalents of communication systems. The described method leads to an analytical characterization of the systems, which is not known so far for many chaos communication systems. We use the DPSK and DCSK communication schemes under the influence of white Gaussian channel noise as examples for the derivation of first- and second-order cumulants. This allows us to find the qualitative differences between the two systems which are very similar in structure. Furthermore it provides criteria for optimum selection of signals to be used in DCSK. This demonstrates the usefulness and power of cumulant analysis