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On maximizing linear system output energy with an input envelope constraint

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1 Author(s)
Sadowsky, J.S. ; Dept. of Electr. Eng., Arizona Univ., Tucson, AZ, USA

This correspondence addresses the problem of finding an input signal u that maximizes the output energy of a linear filter subject to the constraint |u|⩽e where e is a specified envelope. The main contribution is to provide a new direct proof of the necessity of a certain fixed point condition. Using the weak* topology on the input signal space, the author also proves certain compactness and continuity properties that further illuminate the nature of the problem

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Information Theory, IEEE Transactions on  (Volume:40 ,  Issue: 1 )