Coprime array-to-uniform linear array conversion-based DOA (Direction of Arrival) estimation method and device

A uniform linear array and array technology, applied in the field of DOA estimation, can solve the problems of the lack of array position expression and degree of freedom expression of the minimum redundant array, the complex structure of the nested array, and the difficulty of clearly expressing the characteristics, etc., to achieve low degree of freedom , less redundant information, and reduced computational complexity

Inactive Publication Date: 2018-04-13
TIANJIN UNIV
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  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The disadvantage is: the number of identified sources is limited, and the resolution is not high
However, the minimum redundant array lacks a clear array position expression and a degree of freedom expression, and it is difficult to clearly express its characteristics; the nested array structure is more complicated

Method used

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  • Coprime array-to-uniform linear array conversion-based DOA (Direction of Arrival) estimation method and device
  • Coprime array-to-uniform linear array conversion-based DOA (Direction of Arrival) estimation method and device
  • Coprime array-to-uniform linear array conversion-based DOA (Direction of Arrival) estimation method and device

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Experimental program
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Embodiment 1

[0049] A DOA estimation method for transforming a mutual prime array into a uniform linear array, see figure 1 and figure 2 , the DOA estimation method includes the following steps:

[0050] 101: Receive uncorrelated narrowband signals in the far field, the receiving array is a co-prime array, as a co-prime array model; estimate the sparse covariance matrix of the received signal;

[0051] Among them, the mutual prime array is composed of two sets of uniform linear arrays (containing M and N array elements respectively).

[0052] 102: Arrange the positions of the array elements in ascending order according to the mutual prime array model, and obtain the delay set obtained by making the difference between the positions of any two array elements to form a difference set table;

[0053] 103: Traverse the difference set table, find all the coordinates that need to be delayed in the sparse covariance matrix, and perform statistical averaging on the corresponding covariance funct...

Embodiment 2

[0059] The following is combined with specific examples, calculation formulas, Figure 1-Figure 4 The scheme in Example 1 is further introduced, see the following description for details:

[0060] Suppose there are D narrowband signals s in the far field d (t), t=1, 2,..., T, d=1, 2,..., D, incident into the mutual prime array designed in the embodiment of the present invention, the angles are respectively θ 1 ,θ 2 ,...,θ D . Assuming that the signal sources are uncorrelated, the independent and identically distributed Gaussian white noise is n(t), with a mean of 0 and a variance of T is the total number of snapshots. Then the signal model can be expressed as:

[0061]

[0062] Among them, s(t) is the source signal, x(t) is the signal model after adding noise, the parameter t represents the tth snapshot, A is the array flow matrix, s i (t) is the i-th source signal (i1,...,D), a(θ i ) is the steering vector.

[0063] Then the array flow matrix is:

[0064] A=[a(θ...

Embodiment 3

[0115] A kind of DOA estimating device that mutual prime array is converted into uniform linear array, this estimating device is corresponding to the method in embodiment 1 and 2, see Figure 8 To and Figure 9 , see the description below:

[0116] exist Figure 8 In the process, firstly, the received signal and the pair of prime integers M and N are stored in the external RAM (Random Access Memory), and then they are input into the DSP (Digital Signal Processor, Digital Signal Processor) in real time, and through the internal core algorithm of the DSP, Estimate the covariance of the signal, use the independent matrix to extract continuous autocorrelation, estimate the DOA through the MUSIC algorithm, and finally use the output driver display and its display module to display and identify the DOA situation.

[0117] in, Figure 8 The DSP (Digital Signal Processor, digital signal processor) is the core device, and in the process of spectrum sensing, it completes the followin...

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Abstract

The invention relates to a coprime array-to-uniform linear array conversion-based DOA (Direction of Arrival) estimation method and device. The method includes the following steps that: array element positions are arranged in an ascending order according to a coprime array model, differencing processing is performed on any two array element positions, so that a delay set is obtained, and a difference set table is formed; the difference set is traversed, all coordinates requiring delay are found out in a sparse covariance matrix, corresponding covariance function values are subjected to statistical averaging, autocorrelation function values requiring delay are calculated; a Toepltz matrix is constructed according to the autocorrelation function values, element values on diagonals parallelto the main diagonal of the Toepltz matrix are identical; and a spatial spectrum search function is constructed based on the MUSIC algorithm, the Toepltz matrix is solved, when a spatial spectrum search vector is consistent with a signal steering vector, a correct DOA estimation value is found out. The device includes an external RAM, a digital signal processor, and an output driving and display circuit. The method and device of the present invention do not require a multiplier and are simple in operation, can achieve the same effect as a spatial smoothing matrix, and can greatly reduce the degrees of freedom.

Description

technical field [0001] The invention relates to the field of digital signal processing, in particular to a DOA estimation method and device for converting a mutual prime array into a uniform linear array. Background technique [0002] Array signal processing technology has attracted more and more attention in the past two decades. Array antennas can extract the information of incident signal sources that other types of antennas cannot extract. Therefore, the angle of arrival of incident signals in array signal processing technology ( Direction of Arrival (DOA) estimation algorithm and other achievements have been applied to sonar, radar, communication, earthquake and other fields. [0003] Especially in the field of communication, the application of array signal processing technology to mobile and satellite communication systems under complex conditions can effectively change the overall communication environment of the system. For example, applying the array signal process...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S3/16
CPCG01S3/16
Inventor 黄翔东念天磊
Owner TIANJIN UNIV
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