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Weak Signal Detection Using Stochastic Resonance with Approximated Fractional Integrator

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Abstract

In this paper, a new technique for weak signal detection using stochastic resonance (SR) with approximated fractional integrator (AFI) has been investigated. To improve the performance of weak signal detector, AFI is convolved with noisy samples which (i.e., AFI) attenuates the noise because of its low-pass filtering nature. SR noise ( i.e., some fixed amount of noise) is added externally, which causes further improvement in detection. The external noise under SR has been obtained in Neyman–Pearson (NP) framework. For comparison, receiver operating characteristic curve has been analysed. The parameters, probability of detection (\(P_D\)) and deflection coefficient ratio are also calculated at a fixed value of probability of false alarm (\(P_{\mathrm{FA}}\)). It has been observed that the performance of the proposed detector is better or comparable to most of the state-of-the-art techniques.

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Acknowledgements

This publication is an outcome of the R&D work undertaken in the project under the Visvesvaraya PhD Scheme of Ministry of Electronics & Information Technology, Government of India, being implemented by Digital India Corporation (Formerly Media Lab Asia) (Grant No. U72900MH2001NPL133410).

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  1. SIPL, Department of Electrical Engineering, Indian Institute of Technology Patna, Bihta, 801103, India

    Sumit Kumar & Rajib Kumar Jha

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  1. Sumit Kumar
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  2. Rajib Kumar Jha
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Correspondence to Sumit Kumar.

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Kumar, S., Jha, R.K. Weak Signal Detection Using Stochastic Resonance with Approximated Fractional Integrator. Circuits Syst Signal Process 38, 1157–1178 (2019). https://doi.org/10.1007/s00034-018-0900-y

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