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Error analysis in sampling theory

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1 Author(s)
Papoulis, A. ; Polytechnic Institute of Brooklyn, Brooklyn, N.Y.

A basic problem in signal theory is the reconstruction of a band-limited function f(t) from its sampled value f(nT). Because of a number of errors, the computed or physically realized signal is only approximately equal to f(t). The most common sampling errors are: round-off of f(nT), truncation of the series generating f(t), aliasing of frequency components above half the sampling rate 1/T, jitter in the recording times nT, loss of a number of sampled values, and imperfect filtering in the recovery of f(t). In the following we study the effect of these errors on the reconstructed signal and its Fourier transform.

Published in:

Proceedings of the IEEE  (Volume:54 ,  Issue: 7 )