Post-treatments of multi-frequency analog signal processing via QDW systems

Abstract We observe more signal processing features of Stochastic resonance by using multi-frequency analog signals. When treating a multi-frequency analog signal, post-treatments confront two main problems: the waveform distortion and the residual stochastic component. We propose a recovery formula and the Hermite curve fitting to handle these problems respectively. With these methods, we provide a simulating example, of which the result is compared with the result of a lowpass filter.

[1]  Adi R. Bulsara,et al.  Tuning in to Noise , 1996 .

[2]  Christian Hauptmann,et al.  SIGNAL TRANSFER AND STOCHASTIC RESONANCE IN COUPLED NONLINEAR SYSTEMS , 1999 .

[3]  B. Kosko,et al.  Adaptive stochastic resonance , 1998, Proc. IEEE.

[4]  Bohou Xu,et al.  Parameter-Induced Stochastic Resonance and baseband Binary PAM Signals Transmission over an AWGN Channel , 2003, Int. J. Bifurc. Chaos.

[5]  Giacomelli,et al.  Experimental evidence of binary aperiodic stochastic resonance , 2000, Physical review letters.

[6]  Frank Moss,et al.  STOCHASTIC RESONANCE: TUTORIAL AND UPDATE , 1994 .

[7]  Vincenzo Galdi,et al.  Evaluation of stochastic-resonance-based detectors of weak harmonic signals in additive white Gaussian noise , 1998 .

[8]  A.H. Tewfik,et al.  Detection of weak signals using adaptive stochastic resonance , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[9]  François Chapeau-Blondeau,et al.  Stochastic resonance in the information capacity of a nonlinear dynamic system , 1998 .

[10]  G. Parisi,et al.  Stochastic resonance in climatic change , 1982 .

[11]  Jung,et al.  Amplification of small signals via stochastic resonance. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[12]  Pierre-Olivier Amblard,et al.  Stochastic resonance in discrete time nonlinear AR(1) models , 1999, IEEE Trans. Signal Process..

[13]  Carson C. Chow,et al.  Aperiodic stochastic resonance in excitable systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  Adi R. Bulsara,et al.  DC SIGNAL DETECTION VIA DYNAMICAL ASYMMETRY IN A NONLINEAR DEVICE , 1998 .

[15]  F. Chapeau-Blondeau,et al.  Comparison of aperiodic stochastic resonance in a bistable system realized by adding noise and by tuning system parameters. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[17]  Pierre-Olivier Amblard,et al.  On the use of stochastic resonance in sine detection , 2002, Signal Process..

[18]  Carson C. Chow,et al.  Aperiodic stochastic resonance. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[20]  Bohou Xu,et al.  Stochastic resonance with tuning system parameters: the application of bistable systems in signal processing , 2002 .

[21]  Bohou Xu,et al.  Effects of colored noise on multi-frequency signal processing via stochastic resonance with tuning system parameters , 2003 .

[22]  Gregoire Nicolis,et al.  Stochastic resonance , 2007, Scholarpedia.

[23]  Wiesenfeld,et al.  Theory of stochastic resonance. , 1989, Physical review. A, General physics.