Stochastic Resonance Effect in Optimal Decision Solution Under Neyman–Pearson Criterion

Ting Yang1, Yu Liu1, Shiju Yang1, Shujun Liu2
1Chongqing Engineering Laboratory for Detection, Control and Integrated Syetem, Chongqing Technology and Business University, Chongqing, China
2College of Microelectronics and Communication Engineering, Chongqing University, Chongqing, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

A.B. Akbay, S. Gezici, Noise benefits in joint detection and estimation problems. Signal Process. 118, 235–247 (2016)

K. Audhkhasi, O. Osoba, B. Kosko, Noise-enhanced convolutional neural networks. Neural Netw. 78, 15–23 (2016)

G.O. Balkan, S. Gezici, CRLB based optimal noise enhanced parameter estimation using quantized observations. IEEE Signal Process. Lett. 17(5), 477–480 (2010)

S. Bayram, S. Gezici, Noise enhanced M-ary composite hypothesis-testing in the presence of partial prior information. IEEE Trans. Signal Process. 59(3), 1292–1297 (2011)

S. Bayram, S. Gezici, H.V. Poor, Noise enhanced hypothesis-testing in the restricted Bayesian framework. IEEE Trans. Signal Process. 58(8), 3972–3989 (2010)

S. Bayrama, S. Gultekinb, S. Gezici, Noise enhanced hypothesis-testing according to restricted Neyman–Pearson criterion. Digit. Signal Process. 25, 17–27 (2014)

R. Benzi, A. Sutera, A. Vulpiani, The mechanism of stochastic resonance. J. Phys. A: Math. Gen. 14(11), L453–L457 (1981)

F. Chapeau-Blondeau, Quantum state discrimination and enhancement by noise. Phys. Let. A 378(30–31), 2128–2136 (2014)

F. Chapeau-Blondeau, D. Rousseau, Noise-enhanced performance for an optimal Bayesian estimator. IEEE Trans. Signal Process. 52(5), 1327–1334 (2004)

H. Chen, P.K. Varshney, J.H. Michels, Noise enhanced parameter estimation. IEEE Trans. Signal Process. 56(10), 5074–5081 (2008)

H. Chen, P.K. Varshney, S. Kay, J.H. Michels, Theory of the stochastic resonance effect in signal detection: part I—fixed detectors. IEEE Trans. Signal Process. 55(7), 3172–3184 (2007)

H. Chen, P.K. Varshney, S. Kay, J.H. Michels, Theory of the stochastic resonance effect in signal detection: part II—variable detectors. IEEE Trans. Signal Process. 56(10), 5031–5041 (2008)

F. Duan, F. Chapeau-Blondeau, D. Abbott, Noise-enhanced SNR gain in parallel array of bistable oscillators. Electron. Lett. 42(17), 1008–1009 (2006)

Z. Gingl, P. Makra, R. Vajtai, High signal-to-noise ratio gain by stochastic resonance in a double well. Fluctuat. Noise Lett. 1(3), L181–L188 (2001)

S. Kay, Can detectability be improved by adding noise? IEEE Signal Process. Lett. 7(1), 8–10 (2000)

S. Kay, J.H. Michels, H. Chen, K. Varshney, Reducing probability of descision error using stochastic Resonance. IEEE Signal Process. Lett. 13(11), 695–698 (2006)

L. Li, P. Shi, Y. Zhao et al., Containment control of multi-agent systems with uniform quantization. Circuits Syst. Signal Process. 38(9), 3952C3970 (2019)

S. Liu, T. Yang et al., Noise enhanced binary hypothesis-testing in a new framework. Digital Signal Process. 41, 22–31 (2015)

L. Lcken, O.V. Popovych, P.A. Tass, S. Yanchuk, Noise-enhanced coupling between two oscillators with long-term plasticity. Phys. Rev. E 93, 032210 (2016)

Patel, A., Kosko, B.: Mutual-information noise benefits in Brownian models of continuous and spiking neurons. In: International Joint Conference on Neural Network, pp. 1368–1375 (2006)

A. Patel, B. Kosko, Optimal noise benefits in Neyman-Pearson and inequality constrained signal detection. IEEE Trans. Signal Process. 57(5), 1655–1669 (2009)

A. Patel, B. Kosko, Optimal mean-square noise benefits in quantizer-array linear estimation. IEEE Signal Process. Lett. 17(12), 1005–1009 (2010)

M. Perc, Coherence resonance in a spatial prisoner’s dilemma game. New J. Phys. 8, 22 (2006)

M. Perc, Double resonance in cooperation induced by noise and network variation for an evolutionary prisoner’s dilemma. New J. Phys. 8(9), 183 (2006)

J. Pongfai, X. Su, H. Zhang et al., A novel optimal PID controller autotuning design based on the SLP algorithm. Expert Syst. 37(2), e12489 (2020)

D. Rousseau, G.V. Anand, F. Chapeau-Blondeau, Noise-enhanced nonlinear detector to improve signal detection in non-Gaussian noise. Signal Process. 86(11), 3456–3465 (2006)

D. Rousseau, F. Chapeau-Blondeau, Noise-improved Bayesian estimation with arrays of one-bit quantizers. IEEE Trans. Instrum. Meas. 56(6), 2658–2662 (2007)

T.A. Schonhoff, A.A. Giordano, Detection and estimation theory and its application (Prentice Hall, Upper Saddle River, 2006)

M. Wuehr, E. Nusser, S. Krafczyk et al., Noise-enhanced vestibular input improves dynamic walking stability in healthy subjects. Brain Stimul. 9(1), 109–116 (2016)

T. Yang, S. Liu et al., Noise benefits parameter estimation in LMMSE sense. Digital Signal Process. 73, 153–163 (2018)

T. Yang, S. Liu et al., Optimal noise enhanced signal detection in a unified framework. Entropy 18(6), 213 (2016)

Z. Yin, H. Song et al., Noise-enhanced chaos in a weakly coupled GaAs/(Al, Ga)As superlattice. Phys. Rev. E 95, 012218 (2017)