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Design of zero reference codes by means of a global optimization method.

José Saez-Landete, José Alonso, Eusebio Bernabeu

|June 3, 2009

Summary

Designing optimal zero reference codes for grating measurement systems is complex. A global optimization method, the DIRECT algorithm, is presented as a powerful tool for this inverse problem, enabling better absolute measures.

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Area of Science:

* Metrology and Measurement Science
* Signal Processing and Optimization

Background:

* Grating measurement systems rely on zero reference codes for accurate displacement and angle measurements.
* Obtaining optimal zero reference signals via autocorrelation of identical codes presents design challenges, particularly for large codes.

Purpose of the Study:

* To present a novel global optimization method for designing zero reference codes.
* To address the complexity of creating codes that yield optimum autocorrelation signals.

Main Methods:

* Application of a DIRECT algorithm, a global optimization technique.
* Inverse problem formulation for code design based on signal properties.

Main Results:

* The DIRECT algorithm is demonstrated as an effective tool for designing zero reference codes.
* Successful application of global optimization to a complex code design problem.

Conclusions:

* The presented global optimization method simplifies the design of zero reference codes.
* This approach offers a powerful solution for achieving absolute measures in grating systems.