In this paper we show that Compressive Sensing (CS) can be casted as an impulse response estimation problem. Using this interpretation we re-obtain some theoretical results of CS in a simple manner. Moreover, we prove that in the case of a randomly generated sensing matrix, reconstruction probability depends on the kurtosis of the distribution used for its generation.

Rethinking Compressive Sensing

Giuseppe Campobello
Primo
2018-01-01

Abstract

In this paper we show that Compressive Sensing (CS) can be casted as an impulse response estimation problem. Using this interpretation we re-obtain some theoretical results of CS in a simple manner. Moreover, we prove that in the case of a randomly generated sensing matrix, reconstruction probability depends on the kurtosis of the distribution used for its generation.
2018
978-9-0827-9701-5
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3133903
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