Analysis of timing jitter in digital transmission systems

Abstract

AbstractAn analysis of timing jitter generation in band‐limited digital systems is presented. An integral representation of jitter spectral density in frequency domain is derived for typical transmission systems: baseband polar system, BPSK and QPSK with AWGN. Using the representation, one can calculate the jitter spectral density and jitter variance for any frequency characteristics of the channel by performing integration over a finite frequency domain. The jitter spectral density consists of three terms with different noise dependency, each of which is represented by a combination of three factors: a coefficient, tank function, and jitter source spectral density. As a typical application of the present theory, the jitter spectral density and rms jitter are calculated for a cosine rolloff scheme. The jitter dependency on the rolloff factor, Eb/N0, and timing tank parameters are calculated and discussed. © 2001 Scripta Technica, Electron Comm Jpn Pt 1, 84(8): 1–13, 2001