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Direction of arrival estimation method based on relatively prime array second-order equivalent virtual signal disperse Fourier inversion

A direction-of-arrival estimation and discrete Fourier technology, applied in the field of signal processing, can solve problems such as high computational complexity, inability to obtain signal power information, and hardware implementation difficulties

Active Publication Date: 2018-10-26
ZHEJIANG UNIV
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Problems solved by technology

[0004] Most of the existing DOA estimation methods based on coprime arrays perform relatively complex operations on the basis of second-order equivalent virtual signals of coprime arrays, including complex matrix operations such as inversion and eigenvalue decomposition, as well as the design and optimization of convex optimization problems. Solving and other processes, these calculation processes lead to high computational complexity, and face certain challenges in application scenarios with high real-time requirements, and the hardware implementation in actual systems is relatively difficult
In addition, most of the existing DOA estimation methods cannot obtain the signal power information while obtaining the direction of arrival estimation information

Method used

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  • Direction of arrival estimation method based on relatively prime array second-order equivalent virtual signal disperse Fourier inversion
  • Direction of arrival estimation method based on relatively prime array second-order equivalent virtual signal disperse Fourier inversion
  • Direction of arrival estimation method based on relatively prime array second-order equivalent virtual signal disperse Fourier inversion

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example 1

[0096] Simulation example 1: A coprime array is used to receive incident signals, and its parameters are selected as M=9, N=10, that is, the coprime array of the structure contains a total of 2M+N−1=27 physical array elements. Fixed sampling snapshot number T=1000, respectively test under different signal-to-noise ratios, the power estimation accuracy of the method proposed in the present invention is expressed by root mean square error (RMSE) to a single signal source and 30 signal sources, and its calculation The formula is:

[0097]

[0098] Among them, Q is the number of Monte Carlo trials, Indicates the power estimate of the l-th signal in the q-th Monte Carlo trial, is the actual power of the lth signal. In this simulation, Q=1000. For the case of a single signal source, the incident direction of the signal source in each Monte Carlo test satisfies the Gaussian distribution For the case of 30 signal sources, the incident directions of the signal sources are eve...

example 2

[0099] Simulation example 2: adopt the same coprime array as simulation example 1 to receive the incident signal, the signal-to-noise ratio is set to 10dB, test respectively in the case of different sampling snapshots, the method proposed by the present invention is for a single signal source and 30 signals The power estimation accuracy of the source, other simulation conditions remain the same as simulation example 1. The accuracy of power estimation in the case of a single signal source and 30 signal sources under the condition of different sampling snapshots is as follows: Figure 5 shown. It can be seen that in the case of a single signal source, the root mean square error of power estimation is less than 1dB; in the case of 30 signal sources, when the number of sampling snapshots is greater than 300, the root mean square error of power estimation is reduced to below 1dB . Therefore, the method proposed in the present invention can estimate signal power more accurately. ...

example 3

[0100] Simulation example 3: The same coprime array as simulation example 1 is used to receive the incident signal, the signal-to-noise ratio is set to 10dB, and the number of sampling snapshots is set to T=500. Assume that the number of incident narrowband signals is 30, and the incident directions are evenly distributed in the spatial angle range of 45° to 135°. The spatial power spectrum obtained by the proposed method of the present invention is as Figure 6 , where the vertical dotted line represents the true direction of the incident signal source. It can be seen that the method proposed in the present invention can effectively distinguish the 30 incident signal sources. For the traditional direction of arrival estimation method using a uniform linear array, only 26 incident signals can be resolved at most by using 27 physical array elements. The above results show that the method proposed in the present invention has achieved an increase in the degree of freedom.

[0...

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Abstract

The invention discloses a direction of arrival estimation method based on relatively prime array second-order equivalent virtual signal disperse Fourier inversion. The objective of the invention is tosolve problems of high calculation complexity and a failure of simultaneously estimating signals and power in the current method. The method comprises following achieving steps that a receiving end builds a relatively prime array; by use of the relatively prime array, emission signals are received and modeling is performed; according to the received signals of the relatively prime array, deviating second-order equivalent virtual signals corresponding to augmentation virtual uniform linear arrays; defining angle-space frequency and using the angle-space frequency to describe second-order equivalent virtual signals of the virtual uniform arrays; carrying out disperse Fourier inversion on the second-order virtual signals described by use of the angle-space frequency, and constructing a space-power spectrum; and according to the constructed space-power spectrum, carrying out spectrum peak searching so as to acquire direction of arrival estimation and power estimation information the signals. According to the invention, the degree of freedom of estimation of the direction of arrival is improved; calculation complexity of the direction of arrival is reduced; and power estimation information of the signals can be acquired.

Description

technical field [0001] The invention belongs to the technical field of signal processing, in particular to the statistical signal processing of radar signals, acoustic signals and electromagnetic signals, in particular to a method for estimating the direction of arrival based on the discrete Fourier inverse transform of the second-order equivalent virtual signal of a coprime array , can be used for passive localization and target detection. Background technique [0002] Direction-of-Arrival (DOA) estimation is a basic problem in the field of array signal processing. It refers to using a sensor array to receive signals and performing statistical processing on the received signals through a series of signal processing methods, so as to obtain the The contained direction of arrival information has a wide range of applications in radar, sonar, voice, wireless communication and other fields. [0003] The degree of freedom of the DOA estimation method refers to the number of inci...

Claims

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Application Information

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IPC IPC(8): G01S3/14G01S3/782G01S3/802G06F17/14G06F17/16
CPCG01S3/14G01S3/782G01S3/802G06F17/141G06F17/16
Inventor 张宗煜史治国周成伟陈积明
Owner ZHEJIANG UNIV
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