A signal recovery technique is motivated and derived for the recovery of several nonnegative signals from measurements of their autocorrelation and cross-correlation functions. The iterative technique is shown to preserve nonnegativity of the signal estimates and to produce a sequence of estimates whose correlations better approximate the measured correlations as the iterations proceed. The method is demonstrated on simulated data for active imaging with dual-frequency or dual-polarization illumination.
© 2005 Optical Society of America
Original Manuscript: June 22, 2004
Manuscript Accepted: September 22, 2004
Published: April 1, 2005
Timothy J. Schulz and David G. Voelz, "Signal recovery from autocorrelation and cross-correlation data," J. Opt. Soc. Am. A 22, 616-624 (2005)