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

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.