Wigner Distribution Function/Ambiguity Function Processor

Alan A. Rakes; Charles Hester; Ramarao Inguva; B.V.K. Vljaya Kumar

doi:10.1117/12.946943

22 August 1988 Wigner Distribution Function/Ambiguity Function Processor

Alan A. Rakes, Charles Hester, Ramarao Inguva, B.V.K. Vljaya Kumar

Proceedings Volume 0936, Advances in Optical Information Processing III; (1988) https://doi.org/10.1117/12.946943
Event: 1988 Technical Symposium on Optics, Electro-Optics, and Sensors, 1988, Orlando, FL, United States

Abstract

The Wigner Distribution Function and Ambiguity Function are both two-dimensional time-frequency representations of a one dimensional signal. In spite of the similarity of the functional definition, however, the information is encoded in the two functions very differently. This paper reiterates the important traits of both and presents a laboratory setup using acoustooptic cells where both of the functions may be generated with no physical change to the hardware. The theoretical capabilities of such an optical system in terms of equivalent math operations is shown. Also a generalized version of the WDF which demonstrates the additional trait of being positive semi-definite is presented with the technique for adding this capability to the optical design.

Citation Download Citation

Alan A. Rakes, Charles Hester, Ramarao Inguva, and B.V.K. Vljaya Kumar "Wigner Distribution Function/Ambiguity Function Processor", Proc. SPIE 0936, Advances in Optical Information Processing III, (22 August 1988); https://doi.org/10.1117/12.946943

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