Robust adaptive beam forming method based on diagonal loading
An adaptive beam, diagonal loading technology, applied in the field of array signal processing and digital signal processing, can solve the problems of large norm, lack of theoretical guidance, difficult to select, etc., to overcome performance loss, improve robustness, and enhance robustness sexual effect
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[0018] Step 1: Calculate the sampling covariance matrix R of the signal received by the radar antenna array:
[0019] According to the structural model of the radar antenna array receiving signal, the snapshot model of the radar antenna array receiving signal with the number of elements N is defined as follows: x(k)=s(k)+i(k)+n(k), where s(k) represents the desired signal, i(k) represents the interference signal, and n(k) represents the noise signal. The covariance matrix of the received signal of the sensor array is constructed from the received signal x(k) sampled by K snapshots: K is the number of sampling snapshots, x(k) is the kth sampling snapshot, ( ) H is the Hermitian transpose.
[0020] Step 2: Calculate the weight vector w of the Capon beamformer c :
[0021] A typical Capon beamformer can be expressed as the following optimization problem:
[0022]
[0023] Using the Lagrange operator, the weight vector of the Capon beamformer can be obtained as:
[0024]...
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