2021
DOI: 10.1016/j.bspc.2021.102540
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A high-resolution minimum variance algorithm based on optimal frequency-domain segmentation

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Cited by 7 publications
(4 citation statements)
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“…where à denotes the convolution. According to (13), the two-way beampattern of a transmitting-receiving pair (m,n) is a function of m + n. As the beampattern can be considered as spatial impulse response, (13) results that the signal received by the n-th element when the m-th element transmits is equal to the signal obtained by any transmitting-receiving pair of (m 0 , n 0 ) where m 0 + n 0 = m + n. This is valid for the reflectors positioned at far-field region of the transducer, and according to the Fresnel approximation, it is also true for the focal region of a focused transducer. This means that the data matrix S(k) is approximately a Hankel matrix, where the deviations from the Hankel structure are mostly the results of the signals reflected by the points far from the focal points and their effects is usually attenuated by a simple beamformer such as DAS.…”
Section: The Proposed Beamformermentioning
confidence: 99%
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“…where à denotes the convolution. According to (13), the two-way beampattern of a transmitting-receiving pair (m,n) is a function of m + n. As the beampattern can be considered as spatial impulse response, (13) results that the signal received by the n-th element when the m-th element transmits is equal to the signal obtained by any transmitting-receiving pair of (m 0 , n 0 ) where m 0 + n 0 = m + n. This is valid for the reflectors positioned at far-field region of the transducer, and according to the Fresnel approximation, it is also true for the focal region of a focused transducer. This means that the data matrix S(k) is approximately a Hankel matrix, where the deviations from the Hankel structure are mostly the results of the signals reflected by the points far from the focal points and their effects is usually attenuated by a simple beamformer such as DAS.…”
Section: The Proposed Beamformermentioning
confidence: 99%
“…Imagine that the first element of the virtual array is transmitting and all its elements are receiving. According to (13), the signal received by the i-th element of the virtual array si k ð Þ is approximately the same as the signal acquired by the pair (m,n) on the real array for any m and n satisfying m + n À 1 = i. Therefore, si k ð Þ can be approximated using the matrix S(k) as follows:…”
Section: The Proposed Beamformermentioning
confidence: 99%
See 1 more Smart Citation
“…Hasegawa et al [ 11 ] proposed to build a cross-covariance matrix in MV using echo signals from different subarrays, which leads to a significant improvement in image contrast. Recently, Wang et al [ 12 ] proposed a high-resolution MV based on optimal frequency-domain segmentation. In addition, a user parameter-free MV was developed [ 13 ] by adaptively determining the subarray length, number of samples for temporal averaging, and diagonal loading coefficient in MV.…”
Section: Introductionmentioning
confidence: 99%