TY - GEN
T1 - Time domain representation of systems on bandlimited signals
AU - Boche, Holger
AU - Mönich, Ullrich J.
PY - 2008
Y1 - 2008
N2 - Since the discovery of Shannon's 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.
AB - Since the discovery of Shannon's 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.
UR - https://www.scopus.com/pages/publications/51849134106
U2 - 10.1109/ITW.2008.4578620
DO - 10.1109/ITW.2008.4578620
M3 - Conference contribution
AN - SCOPUS:51849134106
SN - 9781424422708
T3 - 2008 IEEE Information Theory Workshop, ITW
SP - 51
EP - 55
BT - 2008 IEEE Information Theory Workshop, ITW
T2 - 2008 IEEE Information Theory Workshop, ITW
Y2 - 5 May 2008 through 9 May 2008
ER -