Weak signal detection method based on nonlinear restoring force coupling duffing oscillator
A weak signal detection and restoring force technology, applied in measuring devices, instruments, etc., can solve the problem of inability to correctly detect large amplitude, large time width or positive and negative alternating aperiodic pulse signals.
Active Publication Date: 2019-06-18
NANJING COLLEGE OF INFORMATION TECH
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Problems solved by technology
[0010] The technical problem to be solved by the present invention is: the existing non-periodic pulse signal detection method based on coupled Duffing oscillators cannot correctly detect non-periodic pulse signals with large amplitude, large duration or alternating positive and negative
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[0032] The invention provides a weak signal detection method based on nonlinear restoring force coupling Duffing oscillator, such as figure 1 shown, including the following steps:
[0033] Step 1, the signal to be detected (the mixed signal of non-periodic pulse signal and noise) is first converted into a digital signal to be measured by the A / D converter, wherein the higher the sampling rate of the A / D converter and the higher the quantization accuracy, the detection the better the effect;
[0034] Step 2, input the digital signal to be measured into the nonlinear restoring force coupling Duffing oscillator system, and solve the error signal between the oscillators by the fixed-step fourth-order Runge-Kutta method;
[0035] Step 3, the obtained error signal is the aperiodic pulse signal in the signal to be detected.
[0036] The model of the nonlinear restoring force coupled Duffing oscillator system in step 2 is:
[0037]
[0038] where x 1 and y 1 is the state varia...
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The invention discloses a weak signal detection method based on nonlinear restoring force coupling Duffing oscillators. The method includes the steps of obtaining digital signals to be detected after signals to be detected pass through an A / D converter; and inputting the digital signals to be detected to a strong coupling Duffing oscillator system, and solving error signals between the oscillators through a fixed-step length four-order Runge-Kutta method, wherein the solved error signals are aperiodic pulse signals among the signals to be detected. The method provided by the invention adopts a Duffing oscillator system including a linear restoring force coupling term and a nonlinear restoring force coupling term, and can detect large-time-width pulse signals; can detect positive and negative alternant pulse signals at the same time; can detection large-amplitude aperiodic pulse signals with maximum amplitude of about 100; and can detect small-amplitude aperiodic pulse signals with minimum amplitude of about 10<-13>; and the method can reach a minimum detection signal to noise ratio of -30dB in detection of aperiodic pulse signals.
Description
technical field [0001] The invention relates to a weak signal detection method based on nonlinear restoring force coupled Duffing vibrator, which can be applied to low signal-to-noise ratio in engineering fields such as communication, machinery, electronics, electricity, electric power, radar, sonar, image processing, etc. Non-periodic pulse signal detection. Background technique [0002] The detection of weak pulse signals is widely used in mechanical systems, power systems, electronic communications, biomedicine and other fields. Because the chaotic oscillator has the ability to detect signals at a lower signal-to-noise ratio than conventional signal detection methods, such as wavelet analysis, Fourier analysis, and empirical mode decomposition, it has important application value in weak pulse signal detection. Because the Duffing oscillator has a strong immunity to noise, most weak signal detection is based on the Duffing oscillator. The detection of weak pulse signals ...
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IPC IPC(8): G01D21/00
CPCG01D21/00
Inventor 罗文茂姜敏敏闫之烨陈雪姣顾艳华
Owner NANJING COLLEGE OF INFORMATION TECH