Error bounds for jittered sampling

When timing jitter is present in a sampled-data system, it is important to be able to calculate the error introduced by the jittered sampler. However, a detailed statistical description of the jitter is not usually available to allow the determination of jitter error and the optimum filters. This paper calculates bounds for such error. For single channel sampling, bounds are obtained for such cases where the jitter is independent from sample to sample and where the jitter is correlated. An error bound for a special case of band-pass sampling using two samplers is also derived. In all cases, the signal is assumed to be properly bandlimited, so that, in the absence of jitter, the system is free of error. The final expressions of the error bounds depend, regardless of other jitter statistics, only on the type and the variance of the jitter.