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Technique for reducing the redundant and self-correlation terms in joint transform correlators.

Q Tang, B Javidi

|September 8, 2010

Summary

This study introduces a novel joint transform correlator (JTC) that separates correlation functions into distinct output planes. This optical system enhances performance by spatially separating autocorrelation and cross-correlation terms.

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Area of Science:

Optics and Photonics
Information Processing

Background:

Conventional joint transform correlators (JTCs) produce on-axis autocorrelation and off-axis cross-correlation functions in the same output plane.
This spatial overlap can complicate signal analysis and reduce system performance.

Purpose of the Study:

To propose and analyze a modified JTC architecture.
To demonstrate the spatial separation of autocorrelation and cross-correlation functions.
To investigate the impact on nonlinear JTC performance.

Main Methods:

A joint transform correlator (JTC) was designed with reference signals and input scenes in different input planes along the optical axis.
Mathematical analysis was performed to understand the system's behavior.
Computer simulations and experimental results were used to validate the proposed JTC.

Main Results:

The modified JTC successfully focuses on-axis autocorrelation functions in one output plane and off-axis cross-correlation functions in a different output plane.
This spatial separation is distinct from conventional JTCs.
For nonlinear JTCs, higher-order correlation terms were also found to be produced in separate output planes.

Conclusions:

The proposed JTC architecture offers improved spatial separation of correlation functions.
This separation has implications for enhancing the performance and analysis of optical correlation systems.
The findings are validated through both simulation and experimental data.