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Nonlinear Transformations and Radar Detector Design

In: Advances in Statistical Methodologies and Their Application to Real Problems

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  • Graham V Weinberg

Abstract

A nonlinear transformation is introduced, which can be used to compress a series of random variables. For a certain class of random variables, the compression results in the removal of unknown distributional parameters from the resultant series. Hence, the application of this transformation is investigated from a radar target detection perspective. It will be shown that it is possible to achieve the constant false alarm rate property through a simple manipulation of this transformation. Due to the effect the transformation has on the cell under test, it is necessary to couple the approach with binary integration to achieve reasonable results. This is demonstrated in an X-band maritime surveillance radar detection context.

Suggested Citation

  • Graham V Weinberg, 2017. "Nonlinear Transformations and Radar Detector Design," Chapters, in: Tsukasa Hokimoto (ed.), Advances in Statistical Methodologies and Their Application to Real Problems, IntechOpen.
    • Handle: RePEc:ito:pchaps:107759
    DOI: 10.5772/65677
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    More about this item

    Keywords

    transformations; random variable properties; radar detection; mathematical statistics; radar;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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