A Wald test with enhanced selectivity properties in homogeneous environments

@article{Liu2013AWT,
  title={A Wald test with enhanced selectivity properties in homogeneous environments},
  author={Weijian Liu and Wenchong Xie and Yongliang Wang},
  journal={EURASIP Journal on Advances in Signal Processing},
  year={2013},
  volume={2013},
  pages={1-4}
}
A Wald test with enhanced selectivity capabilities is proposed in homogeneous environments. At the design stage, we assume that the cell under test contains a noise-like interferer in addition to colored noise and possible signal of interest. We show that the Wald test is equivalent to a recently proposed Rao test. We also observe that this Rao/Wald test possesses constant false alarm rate property in homogeneous environments. 

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References

SHOWING 1-10 OF 22 REFERENCES

Detection in the Presence of Surprise or Undernulled Interference

  • O. Besson
  • Mathematics
    IEEE Signal Processing Letters
  • 2007
TLDR
It is shown that the adaptive coherence estimator (ACE) is the generalized likelihood ratio test for such a problem, which may explain the previously observed fact that the ACE has excellent sidelobe rejection capability, at the price of low mainlobe target target capability.

An ABORT-Like Detector With Improved Mismatched Signals Rejection Capabilities

TLDR
The performance assessment shows that the proposed dectector ensures better rejection capabilities of mismatched signals than existing ones, at the price of a certain loss in terms of detection of matched signals.

An Improved Adaptive Sidelobe Blanker

TLDR
A two-stage detector consisting of a subspace detector followed by the whitened adaptive beamformer orthogonal rejection test shows that it possesses the constant false alarm rate property and can guarantee a wider range of directivity values with respect to previously proposed two- stage detectors.

A Subspace-Based Adaptive Sidelobe Blanker

TLDR
A modified version of the adaptive sidelobe blanker consisting of a generalized likelihood ratio test (GLRT)-based subspace detector followed by the adaptive coherence estimator shows that it possesses the constant false alarm rate property and guarantees a wider range of ldquodirectivityrdquo values with respect to the plain ASB.

Adaptive beamformer orthogonal rejection test

TLDR
The results show that for constant power complex Gaussian noise, if the signal is matched to the steering vector, ABORT, GLRT, and AMF give approximately equivalent probability of detection, higher than that of ACE, which trades detection probability for an extra invariance to scale mismatch between training and test data.

One- and Two-Stage Tunable Receivers

TLDR
This paper proposes and assess a CFAR detector that can adjust its ldquodirectivityrdquo through a real scalar parameter and proposes to use the CFAR parametric detector as second stage of a two-stage tunable detector and shows that it can outperform already proposed tunable receivers in terms of selectivity.

Parametric Adaptive Radar Detector with Enhanced Mismatched Signals Rejection Capabilities

TLDR
This work proposes a parametric radar detector by introducing a design parameter to trade off the target sensitivity with sidelobes energy rejection and merges the statistics of Kelly's GLRT and of the Rao test, and develops two two-stage detectors, one of which consists of an adaptive matched filter followed by the aforementioned detector.

A CFAR adaptive matched filter detector

TLDR
An adaptive algorithm for radar target detection using an antenna array is proposed that contains a simplified test statistic that is a limiting case of the GLRT detector.

Performance analysis of a two-stage Rao detector

An Adaptive Detection Algorithm

  • E. J. Kelly
  • Computer Science
    IEEE Transactions on Aerospace and Electronic Systems
  • 1986
TLDR
A likelihood ratio decision rule is derived and its performance evaluated in both the noise-only and signal-plus-noise cases.