Rapid digital signal detection method for coupled Duffing oscillator
A digital signal and detection method technology, applied in the field of signal detection, can solve problems such as affecting the scale and calculation speed of digital circuits, low signal detection efficiency, and complex operations.
Active Publication Date: 2021-03-02
NANJING COLLEGE OF INFORMATION TECH
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However, the fixed-step fourth-order Runge-Kutta method needs to solve the differential equation 4 times when solving a data point, that is to say, the solution of N data points needs to solve the differential equation 4N times. It can be seen that the operation of this method is more complicated. , affecting the scale and calculation speed of digital circuits, resulting in low signal detection efficiency
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[0027] In order to make the purpose, technical solution and advantages of the present application clearer, the present application will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present application, and are not intended to limit the present application.
[0028] The conventional solution method for the coupled Duffing oscillator system is to use the fixed-step 4th-order Runge-Kutta method to solve it recursively, and the recursive formula is as follows:
[0029] D. 1 =y 1_n -ωk(x 1_n -x 2_n )
[0030]
[0031] f 1 =y 2_n -ωk(x 2_n -x 1_n )
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[0040]
[0041] D. 4 =(y 1_n +hE 3 )-ωk[(x 1_n +hD 3 )-(x 2_n +hF 3 )]
[0042] E. 4 =-ωξ(y 1_n +hE 3 )+ω 2 ((x 1_n +hD 3 )-(x 1_n +hD 3 ) 3 )-ωq[(y 1_n +hE ...
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The invention relates to a rapid digital signal detection method for a coupled Duffing oscillator. The method comprises the following steps: acquiring to-be-detected information, and inputting the to-be-detected information into a coupled Duffing oscillator system; on the basis of the coupled Duffing oscillator system, performing parallel solving through a recursive algorithm of second-order precision to obtain a solving result; and performing analyzing according to the solving result, and determining a signal detection result. Parallel solving is carried out through a recursive algorithm of second-order precision, recursion of each variable only needs to calculate a differential equation twice, parallel computing is adopted, and the actual calculation duration of each variable is the solving time of the differential equation once. The time is a quarter of the calculation time of a conventional Duffing oscillator signal detection method adopting a fixed-step-length four-order Runge-Kutta method, a correct signal detection result can be obtained in engineering calculation, and for a digital circuit solved by adopting a recursive algorithm with second-order precision, the scale can be smaller, and the operation speed can be higher.
Description
technical field [0001] The present application relates to the technical field of signal detection, in particular to a fast digital signal detection method coupled with Duffing oscillators. Background technique [0002] With the development of the signal detection technology field, the coupled Duffing oscillator system is widely used in the signal detection technology field. The Duffing oscillator is an important chaotic oscillator. When using the Duffing oscillator for signal processing, digital circuits are often used for effective numerical solutions. realize its function. [0003] At present, the Duffing equation used by the Duffing oscillator for signal processing is a non-rigid equation, which is usually solved by the explicit Runge-Kutta method, especially the fixed-step fourth-order Runge-Kutta method is the preferred numerical solution method. However, the fixed-step fourth-order Runge-Kutta method needs to solve the differential equation 4 times when solving a data...
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IPC IPC(8): G01H17/00G06F17/12
CPCG01H17/00G06F17/12
Inventor 姜敏敏罗文茂陈雪娇顾艳华
Owner NANJING COLLEGE OF INFORMATION TECH