Bounds for truncation error in sampling expansions of finite energy band-limited signals (Corresp.)
Author :
Piper, Harvey S., Jr.
Volume :
21
Issue :
4
fYear :
1975
fDate :
7/1/1975 12:00:00 AM
Firstpage :
482
Lastpage :
485
Abstract :
An upper bound is established for the magnitude of the truncation error incurred when a real-valued finite energy signal that is bandlimited to , is approximated by terms from its Shannon sampling series expansion with the samples taken at the integer points. The derived bound is an improvement on known results.
Keywords :
Band-limited signals; Signal sampling/reconstruction; Calculus; Convergence; Filtering; Finite wordlength effects; H infinity control; Information theory; Optical character recognition software; Sampling methods; Spectral analysis; Upper bound;