| GENERAL |
|
|
|
|
Weak Signal Frequency Detection Based on a Fractional-Order Bistable System |
| HE Gui-Tian, LUO Mao-Kang** |
| Department of Mathematics, Sichuan University, Chengdu 610064 |
|
| Cite this article: |
|
HE Gui-Tian, LUO Mao-Kang 2012 Chin. Phys. Lett. 29 060204 |
|
|
|
|
Abstract We apply spectral power amplification to quantifying and investigating the phenomenon of stochastic resonance in fractional-order systems. Moreover, the frequency of the weak mixed signal is detected by a stochastic resonance mechanism together with a power spectrum. The corresponding numerical results demonstrate the effectiveness of the proposed methods.
|
| Keywords:
02.50.Ey
05.40.Jc
05.45.Xt
|
|
|
Received: 01 December 2011
Published: 31 May 2012
|
|
|
|
|
|
|
|
[1] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453[2] Thomas W, Vyacheslav S and Andreas B 2004 Rep. Prog. Phys. 67 45[3] Li J L, Zeng L Z and Zhang H Q 2010 Chin. Phys. Lett. 27 100502[4] Guo F, Zhou Y R and Zhang Y 2010 Chin. Phys. Lett. 27 090506[5] Benzi R 2009 J. Stat. Mech.: Theor. Exp. 2009 P01052[6] Kitajo K, Yamanaka K, Ward L M and Yamamoto Y 2006 Europhys. Lett. 76 1029[7] Duan F Abbott D 2005 Phys. Lett. A 344 401[8] Jakob T 2002 Biol. Cybern. 87 79[9] Leng Y G, Wang T Y, Guo Y, Xu Y G and Fan S B 2007 Mech. Syst. Signal Proc. 21 138[10] Soika E, Mankin R and Ainsaar A 2010 Phys. Rev. E 81 011141[11] Podlubny I 1999 Fractional Differential Equations (New York: Academic Press)[12] Ralf M, Eli B and Joseph K 1999 Phys. Rev. Lett. 82 3563[13] Yuri P K, William T C and Sergey V T 2007 Phys. Rev. E 75 031101[14] Diethelm K and Ford N J 2004 Appl. Math. Comput. 154 621[15] Kawai R, Torigoe S, Yoshida K, Awazu A and Nishimori H 2010 Phys. Rev. E 82 051122 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
