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Resolving power and information theory in signal recovery

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Abstract

We develop a probabilistic approach to the problem of signal recovery from noisy data. In particular, in constructing the approximation, we introduce a truncation method that is related to an order–disorder transition point of the Fourier coefficients of the data. Through a statistical method we show how to determine this truncation point without using any prior information.

© 1993 Optical Society of America

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