Robust array beamforming method based on compression covariance matrix perception
A technology of covariance matrix and beam, which is applied in the field of robust array beamforming, can solve the problems of low main-side lobe ratio of beam space spectrum, low SINR value of adaptive beam output, etc., and achieve good output signal-to-interference-noise ratio effect
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specific Embodiment approach 1
[0017] Embodiment 1: A method of robust array beamforming based on compressed covariance matrix sensing includes the following steps:
[0018] signal model
[0019] The estimation of the covariance matrix of coherent signals and interference received by a uniform linear array with N array elements is discussed. The array element spacing is d. At time t, there are K narrowband coherent signals and P narrowband coherent interferences, denoted as s 1 (t),s 2 (t),...,s K (t) and J 1 (t),J 2 (t),...,J P (t), their wavelengths are λ. The incoming wave direction of the target signal is θ 1 ,θ 2 ,…,θ K , the interference direction is The interference direction is time-varying, which can be expressed as:
[0020]
[0021] in Indicates the center position of the interference direction, Represents the absolute amount of the range of change, rand(t) represents a random number that changes uniformly between [-1,1]. In the case that there is no error in the steering vec...
specific Embodiment approach 2
[0111] Specific embodiment 2: the difference between this embodiment and specific embodiment 1 is that the signal covariance matrix R is constructed in the step 2 x The specific expression of is:
[0112]
[0113] where R i Represents the estimated i-th covariance matrix, i=0,...,I-1, I represents the total number of estimated covariance matrices, Represents the weight of the linear combination.
[0114] Use formula (9) and the method in the literature (Ahmed O. Nasif, Zhi Tian, Qing Ling. High-dimensionalSparse Covariance Estimation for Random Signals. Daniel Romero, GeertLeus. Compressive Covariance Sampling) to construct the sampling covariance matrix.
[0115] Other steps and parameters are the same as those in Embodiment 1.
specific Embodiment approach 3
[0116] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is: the number of beam subspaces and the beam width in the beam space method described in step two are specifically:
[0117]
[0118]
[0119] where R number is the beam subspace number, R null is the beam width, p max is the main lobe value of the beam space spectrum, p submax is the maximum sidelobe value of the beam space spectrum.
[0120] Other steps and parameters are the same as those in Embodiment 1 or Embodiment 2.
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