ERROR BOUND FOR GENERALIZED BAND PASS SAMPLING THEOREM
F. C. Mehta · Journal of Cybernetics · 1976
The sampling theorem studied by Whittaker and Shannon which expresses band-limited function in a series in terms of values of functions at sample points has been generalized by Kramer in terms of eigenvalues, thus using a generalized Kernel in place of exponential. The sampling theorem for band-pass signals with exponential Kernel has also been used and the results are expressed in terms of Hilbert transform. Sharma and Mehta have studied it with a general Kernel. In this paper, bounds for absolute error involved in approximating a function by its generalized band-pass sampling expression has been obtained. Some of the studies made earlier by Brown and others become special cases of our study.