Optical EngineeringFractional power fringe-adjusted joint transform correlation
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generalized fringe-adjusted joint transform correlator (JTC) is proposed, which employs a new family of real-valued filters called the fractional power fringe-adjusted filters (FPFAFs). By suitably adjusting the parameters used in the FPFAF formulation, we can obtain JTC-based classical matched filtering, inverse filtering, and amplitude-modulated phase-only filtering. An efficient JTC architecture for optical implementation of the proposed technique is also developed. The proposed technique is especially suitable for real-time image-processing and remote-sensing applications, since it avoids the limitations of the VanderLugt-type correlators and it has the inherent capability to process both noise-free and noisy input scenes.