An Array Signal Processing Method for Joint Estimation of Frequency and Azimuth

A technology of joint estimation and array signals, applied in the directions of positioning, instruments, measuring devices, etc., can solve problems such as ESPRIT performance degradation, and achieve the effect of overcoming the degradation of target orientation estimation performance, improving the signal-to-noise ratio, and overcoming the degradation of parameter estimation performance.

Active Publication Date: 2022-04-26
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

In contrast, ESPRIT has lower computational complexity, but at low SNR, the performance of ESPRIT method decreases

Method used

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  • An Array Signal Processing Method for Joint Estimation of Frequency and Azimuth
  • An Array Signal Processing Method for Joint Estimation of Frequency and Azimuth
  • An Array Signal Processing Method for Joint Estimation of Frequency and Azimuth

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Embodiment Construction

[0050] Now in conjunction with embodiment, accompanying drawing, the present invention will be further described:

[0051] Describe in detail the concrete operation steps of the present invention below:

[0052] Step 1: A receiving array composed of 20 hydrophones, with an element spacing of 0.75 meters, receives signal and noise data from space, expressed as x(k)=s(k)+n(k), where s(k )=[s 1 (k),s 2 (k),...,s M (k)] T is the signal received by the array, and the signal received by the mth array element is denoted as s m (k)=A m sin[2πf(k-1) / f s +φ m ]+v m (k), A m 4v, φ m is 0rad, f s is 8000Hz, f is 1000Hz, v m The variance of (k) is 0.001. n(k)=[n 1 (k),n 2 (k),...,n M (k)] T is the Gaussian white noise received by the array, and the covariance matrix is ​​Q n . The time length of receiving data is 12.5s, and the number of sampling points is 100000;

[0053] Step 2: Construct the state equation, expressed as:

[0054] K Ts (k+1)=B(f)[K Ts (k)-v(k)]+v(k...

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Abstract

The invention relates to an array signal processing method for joint estimation of frequency and azimuth. Firstly, under the condition of several assumed frequencies, a state equation and an observation equation are established for each assumed single-frequency signal. On this basis, the Kalman filter is used to improve the signal-to-noise ratio of the signal, and then the beamformer is used to obtain the target azimuth. Then, an objective function related to the assumed frequency and target orientation is established. Finally, the final frequency-DOA joint estimate is obtained by maximizing the objective function. The invention reduces the root mean square error of frequency estimation and target azimuth estimation, realizes frequency-DOA joint estimation in low signal-to-noise ratio environment, improves the working distance of receiving equipment, and overcomes the parameters of existing methods under low signal-to-noise ratio Estimate performance degradation issues.

Description

technical field [0001] The invention belongs to the field of array signal processing and relates to an array signal processing method for joint estimation of frequency and orientation. Background technique [0002] Parameter estimation is one of the main tasks in array signal processing, including frequency estimation, target orientation estimation (Direction of arrival, DOA), frequency-DOA joint estimation, etc. For example, in the radiated noise of ships and submarines, there is a single-frequency line spectrum signal, so it can be used to detect targets. However, in the working environment of the receiving array, when the distance between the receiving array and the target is relatively long, the signal-to-noise ratio received by the array is very low, and the working distance is limited. [0003] Frequency estimation is an important task in parameter estimation. Low signal-to-noise ratio will lead to performance degradation of some traditional frequency estimation meth...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01S5/22
CPCG01S5/22
Inventor 夏麾军杨益新马远良
Owner NORTHWESTERN POLYTECHNICAL UNIV
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