Error analysis in sampling theory
- 1 July 1966
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 54 (7), 947-955
- https://doi.org/10.1109/proc.1966.4940
Abstract
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.Keywords
This publication has 4 references indexed in Scilit:
- Bounds for Truncation Error of the Sampling ExpansionSIAM Journal on Applied Mathematics, 1966
- An estimate of the variation of a band-limited processIEEE Transactions on Information Theory, 1964
- Strongly Non-Linear OscillationsJournal of Mathematics and Physics, 1958
- Communication in the Presence of NoiseProceedings of the IRE, 1949