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How distant is the ideal filter of being a causal one?

In this paper the characterization as convolution operators of filters sending finite energy signals to bounded signals is used to prove several theoretical results concerning the distance between the ideal filter and the spaces of physically realizable filters. Both the analog and the digital cases are studied and the formulas for the distance and the angle between the filters in each case are also given.

preprint2015arXivOpen access
J. M. AlmiraA. E. Romero
math.CA
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Open access2 authors1 topic
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J. M. AlmiraA. E. Romero

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