Difference Operators in the Discrete Fourier Transform and Their Application in Network Analysis.

An investigation of possible difference operators shows that the operator of the first-order reverse difference quotient has optimum properties in the determination of the time behaviour of networks. By means of computing results in the differentiation of a time function and in the analysis of a low-pass filter the advantages of the first-order difference operator are presented. The results in the analysis of a periodically loaded line coincide well with measured values. The method is suited for the time range analysis of linear networks with concentrated and distributed parameters.