Abstract

A coherent optical processor for displaying a signal’s ambiguity function is described. The required time delay is realized by 45° rotations of two identical input transparencies and the Doppler shift by a 1-D Fourier transformation. The entire ambiguity function is displayed in the output (Doppler shift-time delay) plane. Examples of the optically computed ambiguity function for single and double pulse signals are shown to be in excellent agreement with theory. Advantages of this approach over other schemes and possible extension to real time processing are also discussed.

© 1977 Optical Society of America

Ambiguity function display: an improved coherent processor; addendum

R. J. Marks, J. F. Walkup, and T. F. Krile
Appl. Opt. 16(7) 1777-1777 (1977)

Space-variant ambiguity function processor

Demetri Psaltis and David Casasent
Appl. Opt. 18(11) 1869-1874 (1979)

Acoustooptic processing: real-time ambiguity function processor

G. Waxin, M. G. Gazalet, J. M. Rouvaen, E. Bridoux, and J. E. Lefebvre
Appl. Opt. 24(10) 1454-1458 (1985)

Space-variant processing of 1-D signals

Robert J. Marks, John F. Walkup, Marion O. Hagler, and Thomas F. Krile
Appl. Opt. 16(3) 739-745 (1977)

Ambiguity function in Fourier optics*

Athanasios Papoulis
J. Opt. Soc. Am. 64(6) 779-788 (1974)