Arrays with good correlation properties are required for coded-aperture imaging, as well as for other applications of two-dimensional signal processing. Since binary arrays with perfect periodic autocorrelation functions exist for only a few sizes, mismatched filtering is discussed. Mismatched filtering entirely suppresses any sidelobes of the periodic autocorrelation function at the expense of a slightly reduced signal-to-noise ratio. New construction methods for binary arrays are presented for which this loss, with respect to periodic or odd-periodic correlation, converges to zero with an increasing array size.
© 1998 Optical Society of America
Original Manuscript: April 22, 1997
Revised Manuscript: September 29, 1997
Published: February 10, 1998
Hans Dieter Lüke and Axel Busboom, "Mismatched filtering of periodic and odd-periodic binary arrays," Appl. Opt. 37, 856-864 (1998)