The phenomenon of stochastic resonance (SR) in a mono-threshold-system-based detector (MTD) with additive background noise and multiplicative external noise is investigated. On the basis of maximum a posteriori probability (MAP) criterion, we deal with the binary signal transmission in four scenarios. The performance of the MTD is characterized by the probability of error detection, and the effects of system threshold and noise intensity on detectability are discussed in this paper. Similar to prior studies that focus on additive noises, along with increases in noise intensity, we also observe a non-monotone phenomenon in the multiplicative ways. However, unlike the case with the additive noise, optimal multiplicative noises all tend toward infinity for fixed additive noise intensities. The results of our model are potentially useful for the design of a sensor network and can help one to understand the biological mechanism of synaptic transmission.
Jian LIU
Nanjing University of Posts and Telecommunications
Youguo WANG
Nanjing University of Posts and Telecommunications
Qiqing ZHAI
Nanjing University of Posts and Telecommunications
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Jian LIU, Youguo WANG, Qiqing ZHAI, "Stochastic Resonance of Signal Detection in Mono-Threshold System Using Additive and Multiplicative Noises" in IEICE TRANSACTIONS on Fundamentals,
vol. E99-A, no. 1, pp. 323-329, January 2016, doi: 10.1587/transfun.E99.A.323.
Abstract: The phenomenon of stochastic resonance (SR) in a mono-threshold-system-based detector (MTD) with additive background noise and multiplicative external noise is investigated. On the basis of maximum a posteriori probability (MAP) criterion, we deal with the binary signal transmission in four scenarios. The performance of the MTD is characterized by the probability of error detection, and the effects of system threshold and noise intensity on detectability are discussed in this paper. Similar to prior studies that focus on additive noises, along with increases in noise intensity, we also observe a non-monotone phenomenon in the multiplicative ways. However, unlike the case with the additive noise, optimal multiplicative noises all tend toward infinity for fixed additive noise intensities. The results of our model are potentially useful for the design of a sensor network and can help one to understand the biological mechanism of synaptic transmission.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.323/_p
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@ARTICLE{e99-a_1_323,
author={Jian LIU, Youguo WANG, Qiqing ZHAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Stochastic Resonance of Signal Detection in Mono-Threshold System Using Additive and Multiplicative Noises},
year={2016},
volume={E99-A},
number={1},
pages={323-329},
abstract={The phenomenon of stochastic resonance (SR) in a mono-threshold-system-based detector (MTD) with additive background noise and multiplicative external noise is investigated. On the basis of maximum a posteriori probability (MAP) criterion, we deal with the binary signal transmission in four scenarios. The performance of the MTD is characterized by the probability of error detection, and the effects of system threshold and noise intensity on detectability are discussed in this paper. Similar to prior studies that focus on additive noises, along with increases in noise intensity, we also observe a non-monotone phenomenon in the multiplicative ways. However, unlike the case with the additive noise, optimal multiplicative noises all tend toward infinity for fixed additive noise intensities. The results of our model are potentially useful for the design of a sensor network and can help one to understand the biological mechanism of synaptic transmission.},
keywords={},
doi={10.1587/transfun.E99.A.323},
ISSN={1745-1337},
month={January},}
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TY - JOUR
TI - Stochastic Resonance of Signal Detection in Mono-Threshold System Using Additive and Multiplicative Noises
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 323
EP - 329
AU - Jian LIU
AU - Youguo WANG
AU - Qiqing ZHAI
PY - 2016
DO - 10.1587/transfun.E99.A.323
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2016
AB - The phenomenon of stochastic resonance (SR) in a mono-threshold-system-based detector (MTD) with additive background noise and multiplicative external noise is investigated. On the basis of maximum a posteriori probability (MAP) criterion, we deal with the binary signal transmission in four scenarios. The performance of the MTD is characterized by the probability of error detection, and the effects of system threshold and noise intensity on detectability are discussed in this paper. Similar to prior studies that focus on additive noises, along with increases in noise intensity, we also observe a non-monotone phenomenon in the multiplicative ways. However, unlike the case with the additive noise, optimal multiplicative noises all tend toward infinity for fixed additive noise intensities. The results of our model are potentially useful for the design of a sensor network and can help one to understand the biological mechanism of synaptic transmission.
ER -