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Bounds for truncation error in sampling expansions of finite energy band-limited signals (Corresp.)

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An upper bound is established for the magnitude of the truncation error incurred when a real-valued finite energy signal that is bandlimited to -\pi r \leq \omega \leq \pi r, 0 < r < 1 , is approximated by 2N + 1 terms from its Shannon sampling series expansion with the samples taken at the integer points. The derived bound is an improvement on known results.

Published in:

IEEE Transactions on Information Theory  (Volume:21 ,  Issue: 4 )