Frequency estimation-based dual-array element sinusoidal signal direction of arrival estimation method
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A technology of sinusoidal signal and incoming wave direction, which is applied in the field of signal processing and can solve the problems of signal spectrum leakage and great influence on direction finding accuracy.
Active Publication Date: 2017-03-29
SOUTHEAST UNIV
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However, the conventional cross-spectrum method is based on the discrete spectrum of the dual-array sinusoidal signal for direct direction finding. When the relative frequency deviation of the sinusoidal signal is large, the signal spectrum leaks seriously, which greatly affects the direction finding accuracy.
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Embodiment 1
[0123] The simulation signal parameters are set as follows: signal amplitude A=1, initial phase Number of sampling points N=1024, sampling frequency f s =4000Hz, then the frequency resolution Δf of discrete Fourier transform=f s / N=3.9063Hz, signal frequency f 0 =291Hz, array element spacing d=0.5m, propagation velocity of sinusoidal signal in medium c=1500m / s (propagation velocity of sound in water), signal incoming wave direction θ=π / 4rad, signal-to-noise ratio SNR=0dB, Set relative deviation threshold δ 0 = 0.1.
[0124] image 3 Shown is the cross-power spectrum modulus of the simulated dual array element sinusoidal signal with a frequency of 291Hz, from image 3 It can be seen that the discrete frequency index corresponding to the maximum value of the cross-power spectrum modulus P(k) is 75, and the second maximum value index is 74.
[0125] Search for the index corresponding to the maximum value of the cross-power spectrum modulus P(k) to get k 0 =75, take P(k) a...
Embodiment 2
[0143] The simulation signal parameters are set as follows: signal amplitude A=1, initial phase Number of sampling points N=1024, sampling frequency f s =4000Hz, then the frequency resolution Δf of discrete Fourier transform=f s / N=3.9063Hz, signal frequency f 0 =390Hz, array element spacing d=0.1m, propagation velocity of sinusoidal signal in medium c=340m / s (propagation velocity of sound in air), signal incoming wave direction θ=π / 3rad, signal-to-noise ratio SNR=3dB , set the relative deviation threshold δ 0 = 0.1.
[0144] Figure 4 Shown is the cross-power spectrum modulus of the simulated dual array element sinusoidal signal with a frequency of 390Hz, from Figure 4 It can be seen that the discrete frequency index corresponding to the maximum value of the cross-power spectrum modulus P(k) is 100, and the next maximum value index is 99.
[0145] Search for the index corresponding to the maximum value of the cross-power spectrum modulus P(k) to get k 0 =100, take P(...
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Abstract
The invention relates to a frequency estimation-based dual-array element sinusoidal signal direction of arrival estimation method. The method includes the following steps that: first step, dual-array element sinusoidal signal sampling data sequences x1(n1) and x2(n2) are obtained; second step, the discrete Fourier transformation and cross-power spectral modulus values P(k) of x1(n1) and x2(n2) are calculated; step 3, the real part xid and imaginary part etad of the conjugate multiplication of two array element sinusoidal signals at a discrete frequency point, and the frequency relative deviation delta and estimated frequency f<^>0 of the two array element sinusoidal signals are calculated; fourth step, the absolute value of the frequency relative deviation delta is compared with a relative deviation threshed value delta0, if the absolute value of the frequency relative deviation delta is smaller than the relative deviation threshed value delta0, Fourier transformation is performed on the real part xi which is equal to xid and imaginary part eta which is equal to etad of the conjugate multiplication of the two array element sinusoidal signals at an estimated frequency point, and the method shifts to a sixth step, otherwise, the method shifts to a fifth step; fifth step, the real part xi and imaginary part eta of the conjugate multiplication of the two array element sinusoidal signals at the estimated frequency point, which are subjected to the Fourier transformation, are calculated; and sixth step, the direction of arrival theta of the two array element sinusoidal signals is estimated. With the method adopted, the estimation accuracy of the direction of arrival can be improved. The method has high engineering practicability.
Description
technical field [0001] The invention belongs to the field of signal processing, and in particular relates to a method for estimating the direction of arrival of a sinusoidal signal with two array elements based on frequency pre-estimation. Background technique [0002] Under non-cooperative conditions, it is one of the research hotspots in signal processing to accurately estimate the direction of arrival of the noise-polluted dual-array sinusoidal signal. A wide range of applications, especially in underwater acoustic and electronic reconnaissance intrapulse signal processing plays an extremely important role. [0003] The essence of direction-of-arrival estimation of dual-array sinusoidal signals is to transform the problem of direction-of-arrival estimation into the problem of time-delay difference estimation of target sinusoidal signals arriving at two receiving elements, and the key is to obtain high-precision time-delay estimation. At present, scholars at home and abro...
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