A passive localization method of single-vector hydrophone based on array invariant
An array-invariant and passive positioning technology, which is applied in the field of passive positioning of single-vector hydrophones based on array invariants, can solve problems such as weak positioning methods dependent on prior knowledge of the marine environment, and achieve the effect of reducing dependence
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specific Embodiment approach 1
[0042] Specific implementation mode one: combine figure 1 Illustrate this embodiment, a kind of single-vector hydrophone passive positioning method based on array invariant is specifically carried out according to the following steps:
[0043] Step 1. The sound pressure signal p(t) and the horizontal vibration velocity signal v received by the vector hydrophone r (t) Perform short-time Fourier transform to obtain the time-frequency distribution of sound pressure P(τ,f) and the time-frequency distribution of horizontal vibration velocity V r (τ,f);
[0044] Step 2. Using the time-frequency distribution P(τ, f) of the sound pressure and the time-frequency distribution V of the horizontal vibration velocity in the step 1 r (τ,f) to get the normal wave elevation angle Ambiguity plane with normal wave arrival time τ
[0045] Step 3. According to the normal wave pitch angle in step 2 Ambiguity plane with normal wave arrival time τ The method of array invariant is used to ...
specific Embodiment approach 2
[0046] Specific embodiment two: the difference between this embodiment and the specific embodiment one is: the sound pressure signal p (t) and the horizontal vibration velocity signal v received by the vector hydrophone in the step one r (t) Perform short-time Fourier transform to obtain the time-frequency distribution of sound pressure P(τ,f) and the time-frequency distribution of horizontal vibration velocity V r (τ,f); the specific process is:
[0047]
[0048]
[0049] In the formula, the data window function h(t) is defined as:
[0050]
[0051] In the formula, T is the window length, e is the natural constant, j is the imaginary unit, f is the frequency, t is the time, and τ is the time shift. .
[0052] Other steps and parameters are the same as those in Embodiment 1.
specific Embodiment approach 3
[0053] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is: the time-frequency distribution P(τ, f) of the sound pressure in the step one and the time-frequency distribution V of the horizontal vibration velocity are used in the second step r (τ,f) to get the normal wave elevation angle Ambiguity plane with normal wave arrival time τ The specific process is:
[0054] According to the normal wave theory, the sound pressure P(r,z,f) and the horizontal vibration velocity V in the vector sound field in the shallow sea waveguide r (r,z,f) is expressed as follows:
[0055]
[0056]
[0057] In the formula, is the pitch angle of the nth normal wave, r is the horizontal relative distance between the target and the receiving point, z is the depth of the receiving point, z s is the target depth, Z n is the normal mode depth distribution function, μ n is the horizontal wave number, e is the natural constant, j is the imag...
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