Fast adaptive beamforming algorithm based on block matrix
A technology of adaptive beam and block matrix, applied in complex mathematical operations, radio wave measurement systems, instruments, etc., can solve problems that restrict the performance of underwater acoustic detection equipment
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[0024] The present invention will be described in detail below in conjunction with accompanying drawing:
[0025] as attached Figure 1-3 As shown, this fast adaptive beamforming algorithm based on block matrix mainly includes the following steps:
[0026] 1) Let the number of elements of the base array be N, and the input data of each snapshot is X=[x 1 x 2 … x N ] H ,x i is the sampling data of the i-th array element, then the data covariance matrix R is
[0027]
[0028] Among them, a, b, and s are weighting factors, which represent the proportion of old and new components in the covariance matrix, and are set to 1 for the convenience of calculation. Assuming that the array is uniform and the array element spacing is d, the steering vector is w=exp(-jωτ), where ω is the angular frequency, τ i = d i sin(θ) / c is the delay of the i-th array element relative to the first array element in the θ direction. Taking MVDR adaptive beamforming as an example, its spatial ...
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