Continuous Multidimensional Systems and the Impulse Response Scandal

Authors:
Irwin W. Sandberg
Affiliations:
Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, Tx 78712, USA/ sandberg@ece.utexas.edu
Venue:
Multidimensional Systems and Signal Processing
Year:
2004

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Abstract

We consider a family of multidimensional input–output maps representing linear shift-invariant systems that take a set of continuous-space signals into itself, and show that the family contains maps whose impulse response is the zero function, but which take certain inputs into nonzero outputs.