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Continuous Multidimensional Systems and the Impulse Response Scandal

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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.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, Tx, 78712, USA

    Irwin W. Sandberg

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  1. Irwin W. Sandberg
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Sandberg, I.W. Continuous Multidimensional Systems and the Impulse Response Scandal. Multidimensional Systems and Signal Processing 15, 295–299 (2004). https://doi.org/10.1023/B:MULT.0000028010.55678.58

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  • DOI: https://doi.org/10.1023/B:MULT.0000028010.55678.58

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