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Time domain representation of systems on bandlimited signals | IEEE Conference Publication | IEEE Xplore

Time domain representation of systems on bandlimited signals


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 efficie...Show More

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.
Date of Conference: 05-09 May 2008
Date Added to IEEE Xplore: 25 July 2008
ISBN Information:
Conference Location: Porto, Portugal

References

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