Nonlinear joint fractional Fourier-transform correlator based on the threshold-decomposition preprocessing

Qu Wang; Li Chen; Jin Yun Zhou; Qinghua Lin

doi:10.1117/1.3655351

1 November 2011 Nonlinear joint fractional Fourier-transform correlator based on the threshold-decomposition preprocessing

Qu Wang, Li Chen, Jin Yun Zhou, Qinghua Lin

Author Affiliations +

Funded by: National Natural Science Foundation of China, general program of National Natural Science Foundation of China, National Natural Science Foundation Youth Science Foundation of China, Foundation for Distinguished Young Talents in Higher Education of Guangdong, China, Distinguished Young Talents in Higher Education of Guangdong, China, Young Talents in Higher Education of Guangdong, China

Optical Engineering, Vol. 50, Issue 11, 118201 (November 2011). https://doi.org/10.1117/1.3655351

Abstract

The morphological joint fractional Fourier transform correlator (MJFTC), as a modified nonlinear joint fractional Fourier transform correlator (JFTC), is introduced in this paper. An optoelectronic setup that can implement such a nonlinear JFTC is advised and constructed. We investigate the correlation properties of the MJFTC using computer simulation and optical experiments. Numerical and experimental results show that the MJFTC exhibits remarkable improvement in terms of discriminability and peak sharpness compared with the classic JFTC. Moreover, the MJFTC provides better noise tolerance to the salt-and-pepper noise or normally distributed white additive noise than the JFTC and the other nonlinear processing or fractional-order filtering JFTC.

©(2011) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Qu Wang, Li Chen, Jin Yun Zhou, and Qinghua Lin "Nonlinear joint fractional Fourier-transform correlator based on the threshold-decomposition preprocessing," Optical Engineering 50(11), 118201 (1 November 2011). https://doi.org/10.1117/1.3655351

Published: 1 November 2011

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