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
Original Manuscript: April 22, 1992
Revised Manuscript: November 25, 1992
Manuscript Accepted: December 1, 1992
Published: May 1, 1993
E. Scalas and G. A. Viano, "Resolving power and information theory in signal recovery," J. Opt. Soc. Am. A 10, 991-996 (1993)