TY - GEN
T1 - Nonlinear enhancement of weak signals using optimization theory
AU - Wu, Xingxing
AU - Jiang, Zhong Ping
AU - Repperger, Daniel W.
AU - Guo, Yi
PY - 2006
Y1 - 2006
N2 - Stochastic resonance (SR) is a phenomenon that performance of the nonlinear system can be improved with the addition of optimal amount of noise. Stochastic resonance has been increasingly used for signal processing. The output of the nonlinear bistable dynamic system with white Gaussian noise input can be used to restore the weak input signal, if the similarity between the input signal and the output can be maximized. This paper will first use the optimization theory to show that the normalized power norm describing the similarity will reach a larger maximum when tuning both system parameters and noise intensity, compared with that of only adjusting noise intensity (classical stochastic resonance) or only adjusting system parameters. Then, computer simulations are performed to verify this proposal and demonstrate its application in signal processing.
AB - Stochastic resonance (SR) is a phenomenon that performance of the nonlinear system can be improved with the addition of optimal amount of noise. Stochastic resonance has been increasingly used for signal processing. The output of the nonlinear bistable dynamic system with white Gaussian noise input can be used to restore the weak input signal, if the similarity between the input signal and the output can be maximized. This paper will first use the optimization theory to show that the normalized power norm describing the similarity will reach a larger maximum when tuning both system parameters and noise intensity, compared with that of only adjusting noise intensity (classical stochastic resonance) or only adjusting system parameters. Then, computer simulations are performed to verify this proposal and demonstrate its application in signal processing.
KW - Optimization
KW - Signal processing
KW - Stochastic resonance
UR - http://www.scopus.com/inward/record.url?scp=34247263231&partnerID=8YFLogxK
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U2 - 10.1109/ICMA.2006.257454
DO - 10.1109/ICMA.2006.257454
M3 - Conference contribution
AN - SCOPUS:34247263231
SN - 1424404665
SN - 9781424404667
T3 - 2006 IEEE International Conference on Mechatronics and Automation, ICMA 2006
SP - 66
EP - 71
BT - 2006 IEEE International Conference on Mechatronics and Automation, ICMA 2006
T2 - 2006 IEEE International Conference on Mechatronics and Automation, ICMA 2006
Y2 - 25 June 2006 through 28 June 2006
ER -