Method for detecting chaotic oscillator of submarine weak target signal

A chaotic oscillator and weak target technology, applied in the field of submarine weak target signal detection

Inactive Publication Date: 2010-02-17
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0004] In order to overcome the deficiency that the existing technology is difficult to detect the weak arbitrary periodic signal of the submarine under the strong background noise, the present invention provides a chaotic oscillator detection method for the weak target signal of the submarine

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  • Method for detecting chaotic oscillator of submarine weak target signal
  • Method for detecting chaotic oscillator of submarine weak target signal
  • Method for detecting chaotic oscillator of submarine weak target signal

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Embodiment 1

[0015] Embodiment 1: the chaos detection of type A submarine line spectrum analysis, its steps are as follows:

[0016] (a) Establish a chaotic oscillator detection model using the Duffing equation.

[0017] Duffing's equation is a second-order differential equation with cubic terms, which oscillates under external excitation, resulting in periodic motion and chaotic motion. Its Holmes type Duffing equation is:

[0018] x n (t)+kx'(t)-x(t)+x 3 (t)=Fcos(t) (1)

[0019] In the formula, x(t) is the system equation variable, k is the damping ratio, Fcos(t) is the reference signal of the periodic driving force, F is the amplitude of the periodic driving force, -x(t)+x 3 (t) is the nonlinear restoring force. When the external signal is determined, the characteristics of the system mainly depend on the nonlinear restoring force of the system. Considering the lower limit of detection of weak signals, the signal-to-noise ratio of chaotic system detection, and the proof of system ...

Embodiment 2

[0044] Embodiment 2: the chaos detection of type B submarine line spectrum analysis, its steps are as follows:

[0045] (a) Establish a chaotic oscillator detection model using the Duffing equation.

[0046] Duffing's equation is a second-order differential equation with cubic terms, which oscillates under external excitation, resulting in periodic motion and chaotic motion. Its Holmes type Duffing equation is:

[0047] x n (t)+kx'(t)-x(t)+x 3 (t)=Fcos(t) (1)

[0048] In the formula, x(t) is the system equation variable, k is the damping ratio, Fcos(t) is the reference signal of the periodic driving force, F is the amplitude of the periodic driving force, -x(t)+x 3 (t) is the nonlinear restoring force. When the external signal is determined, the characteristics of the system mainly depend on the nonlinear restoring force of the system. Considering the lower limit of detection of weak signals, the signal-to-noise ratio of chaotic system detection, and the proof of system ...

Embodiment 3

[0070] Embodiment 3: the chaos detection of C submarine line spectrum analysis, its steps are as follows:

[0071] (a) Establish a chaotic oscillator detection model using the Duffing equation.

[0072] Duffing's equation is a second-order differential equation with cubic terms, which oscillates under external excitation, resulting in periodic motion and chaotic motion. Its Holmes type Duffing equation is:

[0073] x n (t)+kx'(t)-x(t)+x 3 (t)=Fcos(t) (1)

[0074] In the formula, x(t) is the system equation variable, k is the damping ratio, Fcos(t) is the reference signal of the periodic driving force, F is the amplitude of the periodic driving force, -x(t)+x 3 (t) is the nonlinear restoring force. When the external signal is determined, the characteristics of the system mainly depend on the nonlinear restoring force of the system. Considering the lower limit of detection of weak signals, the signal-to-noise ratio of chaotic system detection, and the proof of system chaos...

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Abstract

The invention discloses a method for detecting a chaotic oscillator of a submarine weak target signal, which comprises the following steps: firstly establishing a detection model of the chaotic oscillator by utilizing a Duffing equation; determining a critical point by calculating Lyapunov index; detecting the rough distribution position of characteristic line-spectrum of the submarine target signal according to the critical point; carrying out the second line-spectrum detection every 0.1 Hz based on the rough distribution position of the characteristic line-spectrum; recording corresponding amplitude of the submarine signal each time; taking the minimum value of the recorded amplitude of the submarine signal as detection threshold; detecting accurate distribution position of the characteristic line-spectrum of the submarine target signal according to the detection threshold to realize the detection of the submarine weak target signal. By adopting the detection model of the chaotic oscillator, submarine radiation noise with lower signal noise ratio is detected, so that the method is an effective method for detecting characteristic line spectrum of submarine radiation noise.

Description

technical field [0001] The invention relates to a method for detecting a weak target signal of a submarine, in particular to a method for detecting a chaotic oscillator for a weak target signal of an underwater quiet submarine. Background technique [0002] In the field of underwater acoustic countermeasures, with the emergence of quiet submarines, the development of underwater acoustic countermeasures and new underwater weapon systems is also facing new challenges. Under normal circumstances, the noise radiation intensity of quiet submarines can reach zero decibels or even lower. At this time, coupled with the interference of marine environmental noise, it is difficult for traditional time-domain and frequency-domain signal detection theories to produce results for it. [0003] The document "Weak square wave signal detection based on the principle of parametric non-resonant excitation chaos suppression, Acta Physica Sinica, 2007, Vol.56(9), p5098-5102" discloses a realizati...

Claims

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Application Information

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IPC IPC(8): G01S7/52G01S7/537
Inventor 李亚安李国辉杨宏
Owner NORTHWESTERN POLYTECHNICAL UNIV
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