Order Statistic Filters as Postdetection Processors

Jafar Saniie; Kevin D. Donohue; Nihat M. Bilgutay

doi:10.1109/29.60103

Order Statistic Filters as Postdetection Processors

Jafar Saniie, Kevin D. Donohue, Nihat M. Bilgutay

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

The performance of a radar detection system can be improved through postdetection processing. Two popular postdetection processors are the n-pulse and binary integrators. This paper examines the performance of the binary integrator from the viewpoint of order statistics and describes the binary integrator as an order statistic (OS) filter. A general analysis is developed for OS filters in detection systems and is used to show the OS filter is a consistent and biased estimator of the quantities of the received signal distributions. The features of the OS filter and n-pulse integrator that are critical to detection performance are compared to determine the proper application of each processor. It is shown that the OS filter can be used to emphasize selective regions of the input distributions where good statistical separability between the classes of input signals exist. The results from this analysis are useful for the development of optimization procedures over a variety of input signals and are applicable to any detection system where the sampled signals can be modeled statistically, such as in sonar and ultrasonic detection systems. A computer simulation is performed to illustrate the performance of binary and n-pulse integration for the detection of a white chi distributed target in white Weihull clutter and of a white Rayleigh distributed target in white Rayleigh clutter.

Original language	English
Pages (from-to)	1722-1732
Number of pages	11
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	38
Issue number	10
DOIs	https://doi.org/10.1109/29.60103
State	Published - Oct 1990

Bibliographical note

Funding Information:
Manuscript received February 3, 1988; revised September 8, 1989. This work was supported by the SDIO/IST under Contract S400009SRB01 by the Office of Naval Research. J. Saniie is with the Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL 60616. K. D. Donohue and N. M. Bilgutay are with the Department of Electrical and Computer Engineering, Drexel University, Philadelphia, PA 19104. IEEE Log Number 9037812.

ASJC Scopus subject areas

Signal Processing

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title = "Order Statistic Filters as Postdetection Processors",

abstract = "The performance of a radar detection system can be improved through postdetection processing. Two popular postdetection processors are the n-pulse and binary integrators. This paper examines the performance of the binary integrator from the viewpoint of order statistics and describes the binary integrator as an order statistic (OS) filter. A general analysis is developed for OS filters in detection systems and is used to show the OS filter is a consistent and biased estimator of the quantities of the received signal distributions. The features of the OS filter and n-pulse integrator that are critical to detection performance are compared to determine the proper application of each processor. It is shown that the OS filter can be used to emphasize selective regions of the input distributions where good statistical separability between the classes of input signals exist. The results from this analysis are useful for the development of optimization procedures over a variety of input signals and are applicable to any detection system where the sampled signals can be modeled statistically, such as in sonar and ultrasonic detection systems. A computer simulation is performed to illustrate the performance of binary and n-pulse integration for the detection of a white chi distributed target in white Weihull clutter and of a white Rayleigh distributed target in white Rayleigh clutter.",

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note = "Funding Information: Manuscript received February 3, 1988; revised September 8, 1989. This work was supported by the SDIO/IST under Contract S400009SRB01 by the Office of Naval Research. J. Saniie is with the Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL 60616. K. D. Donohue and N. M. Bilgutay are with the Department of Electrical and Computer Engineering, Drexel University, Philadelphia, PA 19104. IEEE Log Number 9037812.",

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N2 - The performance of a radar detection system can be improved through postdetection processing. Two popular postdetection processors are the n-pulse and binary integrators. This paper examines the performance of the binary integrator from the viewpoint of order statistics and describes the binary integrator as an order statistic (OS) filter. A general analysis is developed for OS filters in detection systems and is used to show the OS filter is a consistent and biased estimator of the quantities of the received signal distributions. The features of the OS filter and n-pulse integrator that are critical to detection performance are compared to determine the proper application of each processor. It is shown that the OS filter can be used to emphasize selective regions of the input distributions where good statistical separability between the classes of input signals exist. The results from this analysis are useful for the development of optimization procedures over a variety of input signals and are applicable to any detection system where the sampled signals can be modeled statistically, such as in sonar and ultrasonic detection systems. A computer simulation is performed to illustrate the performance of binary and n-pulse integration for the detection of a white chi distributed target in white Weihull clutter and of a white Rayleigh distributed target in white Rayleigh clutter.

AB - The performance of a radar detection system can be improved through postdetection processing. Two popular postdetection processors are the n-pulse and binary integrators. This paper examines the performance of the binary integrator from the viewpoint of order statistics and describes the binary integrator as an order statistic (OS) filter. A general analysis is developed for OS filters in detection systems and is used to show the OS filter is a consistent and biased estimator of the quantities of the received signal distributions. The features of the OS filter and n-pulse integrator that are critical to detection performance are compared to determine the proper application of each processor. It is shown that the OS filter can be used to emphasize selective regions of the input distributions where good statistical separability between the classes of input signals exist. The results from this analysis are useful for the development of optimization procedures over a variety of input signals and are applicable to any detection system where the sampled signals can be modeled statistically, such as in sonar and ultrasonic detection systems. A computer simulation is performed to illustrate the performance of binary and n-pulse integration for the detection of a white chi distributed target in white Weihull clutter and of a white Rayleigh distributed target in white Rayleigh clutter.

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Order Statistic Filters as Postdetection Processors

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