Design of detectors based on stochastic resonance
Design of detectors based on stochastic resonance
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DOI：
10.1016/s0165-1684(03)00039-2
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发表时间：
2003-06
期刊：
影响因子：
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通讯作者：
Aditya A. Saha;G. V. Anand
中科院分区：
文献类型：
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作者：
Aditya A. Saha;G. V. Anand
本文研究了量化器中的随机共振现象，并讨论了利用这一现象检测噪声中的微弱正弦信号。研究了二能级、对称三能级和对称多能级量子化器中的随机共振现象。推导了在小幅度正弦信号和独立同分布激励下量化器的信噪比增益表达式。噪声增益取决于输入噪声的概率密度函数（PDF），并且对于给定的噪声PDF，可以通过适当选择量化器阈值来最大化增益。如果输入噪声为高斯噪声，则最大增益GSR小于1，但几个非高斯噪声PDF产生超过1的GSR值。因此，量化器提供了SNR的有效增强，这可以用于设计性能优于匹配滤波器的非线性信号检测器。在考虑的非线性检测器包括一个随机共振（SR）量化器，其次是相关器。推导了SR检测器的检测概率的渐近表达式。它示出的SR检测器的检测性能优于匹配滤波器属于广义高斯和混合高斯族的一大类噪声分布。
This paper presents a study of the phenomenon of stochastic resonance in quantizers, and discusses the use of this phenomenon for the detection of weak sinusoidal signals in noise. Stochastic resonance in 2-level, symmetric 3-level, and symmetric multilevel quantizers is investigated. Expressions are derived for the signal-to-noise ratio (SNR) gain of the quantizers driven by a small amplitude sinsuoidal signal and i.i.d. noise. The gain depends on the probability density function (PDF) of the input noise, and for a given noise PDF, the gain can be maximized by a proper choice of the quantizer thresholds. The maximum gain GSRis less than unity if the input noise is Gaussian, but several non-Gaussian noise PDFs yield values of GSRexceeding unity. Thus, the quantizers provide an effective enhancement in the SNR, which can be utilized to design a nonlinear signal detector whose performance is better than that of the matched filter. The nonlinear detector in consideration consists of a stochastically resonating (SR) quantizer followed by a correlator. An asymptotic expression for the probability of detection of the SR detector is derived. It is shown that the detection performance of the SR detector is better than that of the matched filter for a large class of noise distributions belonging to the generalized Gaussian and the mixture-of-Gaussian families.