Abstract
A relationship is derived between the delay characteristic in a data transmission system and the distortion in the form of intersymbol interference created by the delay variation. The relationship is valid for small delay and involves a sequence of linear functionals, each of which has a particular significance. In addition to applications in the analysis of specific systems, problems of a more general nature may be studied using this approach. By various manipulations on the sequence of functionals, bounds on distortion in terms of rms and peak-to-peak delay are derived. On examining the problem of delay equalization, a set of virtually distortion-free delay functions is derived and related to minimum-effort and compromise equalization. Both low-pass and bandpass systems are discussed in turn, with the same general method of analysis applying to each.
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