Sampling with periodically varying rates

This paper considers a number of problems arising from the reconstruction of a continuous stochastic signal from its samples taken at periodically nonuniformly spaced intervals. The optimum mean-square error time varying reconstruction filter in the presence of jitter for the periodically varying sampling rate is determined. Expressions for the error arising from the use of a common class of simple but nonoptimum reconstruction filters are derived. The results may be useful when the relative merits of uniform and nonuniform sampling schemes are compared.