Receiver Operating Characteristics (ROC) for coherent ultrawideband random noise radar

Muhammad Dawood, Ram Mohan Narayanan

Research output: Contribution to journalConference article

Abstract

An ultrawideband (UWB) random noise radar operating in 1-2 GHz frequency range has developed at University of Nebraska. A unique heterodyne correlation technique based on delayed transmit waveform using a photonic delay line has been used to field test this system at a target range of 200 meters. In this paper, we investigate the performance of this radar from a statistical point of view, by developing the theoretical basis for the system's receiver operating characteristics (ROC). Explicit analytical expressions for the joint probably density function (PDF) of the in-phase (I) and quadrature (Q) components of the receiver output have been obtained under the assumption that the input signals are partially correlated bandpass Gaussian processes. The PDF and cumulative distribution function (CDF) for the envelope of the receiver output are obtained. These expressions are then used to relate the probability of detection (Pd) and the probability of false alarm (Pf) for the system for different values of samples integrated, and the results are presented in the form of graphs.

Original languageEnglish (US)
Pages (from-to)206-214
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume3810
StatePublished - Dec 1 1999
EventProceedings of the 1999 Radar Processing, Technology, and Applications IV - Denver, CO, USA
Duration: Jul 21 1999Jul 22 1999

Fingerprint

Spurious signal noise
Random Noise
Operating Characteristics
random noise
Ultra-wideband (UWB)
Probability density function
Radar
radar
Receiver
receivers
Density Function
Electric delay lines
Photonics
Distribution functions
Delay Line
Probability of Detection
Heterodyne
output
Output
field tests

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

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abstract = "An ultrawideband (UWB) random noise radar operating in 1-2 GHz frequency range has developed at University of Nebraska. A unique heterodyne correlation technique based on delayed transmit waveform using a photonic delay line has been used to field test this system at a target range of 200 meters. In this paper, we investigate the performance of this radar from a statistical point of view, by developing the theoretical basis for the system's receiver operating characteristics (ROC). Explicit analytical expressions for the joint probably density function (PDF) of the in-phase (I) and quadrature (Q) components of the receiver output have been obtained under the assumption that the input signals are partially correlated bandpass Gaussian processes. The PDF and cumulative distribution function (CDF) for the envelope of the receiver output are obtained. These expressions are then used to relate the probability of detection (Pd) and the probability of false alarm (Pf) for the system for different values of samples integrated, and the results are presented in the form of graphs.",
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Receiver Operating Characteristics (ROC) for coherent ultrawideband random noise radar. / Dawood, Muhammad; Narayanan, Ram Mohan.

In: Proceedings of SPIE - The International Society for Optical Engineering, Vol. 3810, 01.12.1999, p. 206-214.

Research output: Contribution to journalConference article

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N2 - An ultrawideband (UWB) random noise radar operating in 1-2 GHz frequency range has developed at University of Nebraska. A unique heterodyne correlation technique based on delayed transmit waveform using a photonic delay line has been used to field test this system at a target range of 200 meters. In this paper, we investigate the performance of this radar from a statistical point of view, by developing the theoretical basis for the system's receiver operating characteristics (ROC). Explicit analytical expressions for the joint probably density function (PDF) of the in-phase (I) and quadrature (Q) components of the receiver output have been obtained under the assumption that the input signals are partially correlated bandpass Gaussian processes. The PDF and cumulative distribution function (CDF) for the envelope of the receiver output are obtained. These expressions are then used to relate the probability of detection (Pd) and the probability of false alarm (Pf) for the system for different values of samples integrated, and the results are presented in the form of graphs.

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