Real Time Reconstruction Errors in Digital Telemetry

Document Type

Conference Proceeding

Publication Date

1-1-1993

Description

It is known that excellent polynomial approximations can be constructed for any given continuous function, f. If f is not known what can be said of a low order polynomial approximation based on samples of f? The question is of practical significance in digital telemetry applications where bandwidth constraints require minimizing signal sampling rates. This paper answers the question under the assumption, consistent with normal engineering practice for telemetry signals, that f is bandwidth limited. Worst case error bounds as a function of sampling rate are developed for three classes of Digital to Analog Converters. Results are compared with some spline errors given by de Boor. No pagination in original publication.

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