Analysis of Weak Signal Detectors Under Moving Average of Impulsive Noise

The performance of weak signal detectors is addressed in additive noise described by the first order moving average (FOMA) of an impulsive process. The decision regions of the maximum likelihood (ML) and suboptimum ML (S-ML) detectors are derived in the FOMA model. The ML and S-ML detectors are employed in the antipodal signaling system, and compared in terms of the bit-error-rate performance in impulsive environment. Numerical results show that the S-ML detector, despite its reduced complexity and simpler structure, exhibits practically the same performance as the ML detector. It is also shown that the performance gap between detectors for FOMA and independent and identically distributed noise becomes larger as the degree of noise impulsiveness increases.

[1]  Andreas M. Maras,et al.  Adaptive nonparametric locally optimum Bayes detection in additive non-Gaussian noise , 2003, IEEE Trans. Inf. Theory.

[2]  H. Vincent Poor,et al.  Signal detection in the presence of weakly dependent noise--I: Optimum detection , 1982, IEEE Trans. Inf. Theory.

[3]  H. Vincent Poor,et al.  Memoryless discrete-time signal detection in long-range dependent noise , 2004, IEEE Transactions on Signal Processing.

[4]  Rick S. Blum,et al.  Distributed Random Signal Detection with Multibit Sensor Decisions , 1998, IEEE Trans. Inf. Theory.

[5]  Athina P. Petropulu,et al.  Power-Law Shot Noise and Its Relationship To Long-Memory �-Stable Processes , 2000 .

[6]  J. Kingman Random Processes , 2019, Nature.

[7]  Gonzalo R. Arce,et al.  Robust techniques for wireless communications in non-gaussian environments , 1997 .

[8]  Iickho Song,et al.  A novel detection criterion for weak m-ary signals and its application to ultrawideband multiple access systems , 2005, IEEE Transactions on Vehicular Technology.

[9]  Rick S. Blum Locally optimum distributed detection of correlated random signals based on ranks , 1996, IEEE Trans. Inf. Theory.

[10]  Iickho Song,et al.  Locally Optimum Rank Detector Test Statistics for Composite Signals in Generalized Observations : One-Sample Case(Regular Section) , 2002 .

[11]  Iickho Song,et al.  Locally optimum rank detection of correlated random signals in additive noise , 1992, IEEE Trans. Inf. Theory.

[12]  George V. Moustakides,et al.  Min-max detection of weak signals in phi-mixing noise , 1984, IEEE Trans. Inf. Theory.

[13]  Andreas M. Maras,et al.  Locally optimum Bayes detection in nonadditive first-order Markov noise , 1999, IEEE Trans. Commun..

[14]  Andreas M. Maras,et al.  Locally optimum Bayes detection in ergodic Markov noise , 1994, IEEE Trans. Inf. Theory.

[15]  Iickho Song,et al.  Advanced theory of signal detection , 2002 .