Noise-assisted signal transmission in discrete-time systems

被引：0

作者：

Wang, You-Guo ^{[1
]}

Wu, Le-Nan ^{[2
]}

机构：

[1] School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046, China

[2] School of Information Science and Engineering, Southeast University, Nanjing 210096, China

来源：

Tien Tzu Hsueh Pao/Acta Electronica Sinica | 2009年 / 37卷 / 10期

关键词：

Discrete time control systems - Probability density function - Circuit resonance - Magnetic resonance - Digital signal processing - Digital control systems - Stochastic systems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper discusses noise-assisted signal transmission in discrete-time systems based on an average signal-to-noise ratio (ASNR) for three representative noises. We find, by numerical simulation, when the periodic input is subthreshold, noise can assist signal transmission, stochastic resonance (SR) exists. There is a range of the noise intensity, where the output ASNR is greater than the input ANSR, i.e., the output-input ASNR gain is greater than one. The efficacy of SR decreases as the system threshold increases, or as the impulsion of the noise probability density function (PDF) around zero mean becomes thinner and the tail in PDF becomes heavier. These results show also the complexity of SR in a discrete-time system, the existence and the efficacy of SR depends on the system measure and noise, too. These results extend further SR to be applied in digital signal processing.

引用

页码：2273 / 2276

共 50 条

[31] MEMORYLESS DISCRETE-TIME DETECTION OF A CONSTANT SIGNAL IN M-DEPENDENT NOISE
POOR, HV
THOMAS, JB
IEEE TRANSACTIONS ON INFORMATION THEORY, 1979, 25 (01) : 54 - 61
[32] Exponential stabilization of stochastic quantum systems based on time-delay noise-assisted feedback
Wen, Jie
Wang, Fangmin
CHAOS SOLITONS & FRACTALS, 2024, 186
[33] Intrinsic noise and discrete-time processes
Challenger, Joseph D.
Fanelli, Duccio
McKane, Alan J.
PHYSICAL REVIEW E, 2013, 88 (04):
[34] Robust fault detection for uncertain discrete-time systems subject to signal-to-noise ratio constrained channels
Guo, Fumin
Ren, Xuemei
Li, Zhijun
Han, Cunwu
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (10): : 3971 - 3987
[35] Discrete-Time Signal Processing with DNA
Jiang, Hua
Salehi, Sayed Ahmad
Riedel, Marc D.
Parhi, Keshab K.
ACS SYNTHETIC BIOLOGY, 2013, 2 (05): : 245 - 254
[36] Optimal Control of Unknown Discrete-Time Linear Systems with Additive Noise
Yang, Xue
Liu, Shujun
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2023, 36 (02) : 591 - 612
[37] SUBOPTIMAL IDENTIFICATION OF NOISE COVARIANCES IN DISCRETE-TIME LINEAR-SYSTEMS
SOEDA, T
YOSHIMURA, T
TABUCHI, T
INTERNATIONAL JOURNAL OF CONTROL, 1978, 27 (03) : 393 - 406
[38] Discrete-time chaotic systems synchronization performance under additive noise
Eisencraft, M.
Batista, A. M.
SIGNAL PROCESSING, 2011, 91 (08) : 2127 - 2131
[39] Robust filtering for discrete-time systems with bounded noise and parametric uncertainty
El Ghaoui, L
Calafiore, G
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) : 1084 - 1089
[40] On Uniform Detectability of Discrete-Time Stochastic Systems Subject to Multiplicative Noise
Zhang, Weihai
Zheng, Wei Xing
2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 1235 - 1240

← 1 2 3 4 5 →