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

    Authors

    A. Mahalanobis;S. W. Song

    Comments

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    Abbreviated Journal Title

    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.

    Journal 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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