Title

Theoretical Framework For The Design Of Purely Real Synthetic-Discriminant-Function-Type Correlation Filters

Title - Alternative

Appl. Optics

Keywords

Pattern-Recognition; Variance; Optics

Abstract

A general algorithm for synthesizing purely real correlation filters in the frequency domain is developed by using the method of Lagrange multipliers. This method can be applied to filters that are derived by using linearly constrained quadratic minimization. The synthesis of purely real versions of minimum average correlation energy filters, minimum-variance synthetic discriminant functions, and other synthetic-discriminant-function-type filters is discussed to illustrate this approach. Their performance is found to be somewhat less than that of the original complex filters but still adequate for practical applications. The main advantage of this approach is that optimum purely real filters can be generated that are easy to implement in spatial light modulators without holograms and that yield the correlation output on the zero-order beam.

Publication Title

Applied Optics

Volume

31

Issue/Number

35

Publication Date

1-1-1992

Document Type

Article

Language

English

First Page

7450

Last Page

7456

WOS Identifier

WOS:A1992KA69200012

ISSN

0003-6935

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