Weak signal detection method based on adaptive fractional order stochastic resonance system
A weak signal detection and stochastic resonance technology, applied in complex mathematical operations, electrical digital data processing, special data processing applications, etc.
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[0016] The traditional integer-order stochastic resonance model is bistable stochastic resonance, and its potential function is
[0017] V ( x ) = - a 2 x 2 + b 4 x 4 - - - ( 1 )
[0018] In the traditional bistable system, there are only two parameters a and b, and its structure is relatively simple, so it cannot be effectively applied to the detection of various weak signals. It has limitations, that is, the objective conditions for weak signals and noise signals Has greater restrictions. The present invention uses a fractional-order bistable system with a more complex structure, and its potential function is
[0019] U ( x ) = a · exp ( - x 2 b 2 ) - c 2 x 2 + k | x | q q - - - ( 2 )
[0020] According to the Caputo definition in the fractional theory, the Langevin equation of this system can be expressed as follows:
[0021] D ...
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