Home // International Journal On Advances in Systems and Measurements, volume 2, number 1, 2009 // View article

The Sampling Theorem for Finite Duration Signals

Authors:
Subhendu Das
Nirode Mohanty
Avtar Singh

Keywords: Sampling methods, Communication, Linear system, Wavelet transform, Modulation

Abstract:
The Shannon’s sampling theorem was derived using the assumption that the signals must exist over infinite time interval. But all of our applications are based on finite time intervals. The objective of this research is to correct this inconsistency. In this paper we show where and how this infinite time assumption was used in the derivation of the original sampling theorem and then we extend the results to finite time case. Our research shows that higher sample rate is necessary to recover finite duration signals. This paper validates, with detailed theory, the common industrial practice of higher sample rate. We use the infinite dimensionality property of function space as the basis of our theories. A graphical example illustrates the problem and the solution.

Pages: 1 to 17

Copyright: Copyright (c) to authors, 2009. Used with permission.

Publication date: June 7, 2009

Published in: journal

ISSN: 1942-261x