Title :
Time domain representation of systems on bandlimited signals
Author :
Boche, Holger ; Mönich, Ullrich J.
Author_Institution :
Heinrich Hertz Chair for Mobile Commun., Tech. Univ. Berlin, Berlin
Abstract :
Since the discovery of Shannonpsilas sampling theorem, signal and system representation has become an intense research topic. One task of system theory is to find efficient representations of signals and systems. In this paper time domain representations of stable linear time-invariant systems are analyzed. Although a frequency domain representation of such systems is always possible, the time domain representation is problematic. It is shown that the convolution integral diverges for certain systems and functions. Furthermore, we characterize the systems for which a time domain representation is possible by giving necessary and sufficient conditions for pointwise and uniform convergence.
Keywords :
convolution; integral equations; linear systems; signal representation; signal sampling; time-domain analysis; Shannon sampling theorem; bandlimited signals; convolution integral; frequency domain representation; signal representation; stable linear time-invariant systems; system representation; time domain representation; Bandwidth; Convergence; Convolution; Frequency domain analysis; Integral equations; Low pass filters; Mobile communication; Sampling methods; Sufficient conditions; Time domain analysis;
Conference_Titel :
Information Theory Workshop, 2008. ITW '08. IEEE
Conference_Location :
Porto
Print_ISBN :
978-1-4244-2269-2
Electronic_ISBN :
978-1-4244-2271-5
DOI :
10.1109/ITW.2008.4578620