NDLI: Legendre polynomial based fast minimum variance beamforming method for medical ultrasound systems

Content Provider	IET Digital Library
Author	Bae, Moo Ho Park, Sung Bae Kwon, Sung Jae
Abstract	Recently, minimum variance beamforming (MV BF) has been actively investigated as a method to improve the performance of an ultrasound system beamformer, especially in terms of both the lateral and contrast resolution. However, since the inverse spatial covariance matrix must be calculated, a severe problem with the method is the prohibitive computational complexity. Among numerous attempts to overcome the problem, notable ones are the fast MV BF method based on principal component analysis and beam space adaptive beamforming. The two are similar in transforming an original signal in the element space to the other domain using an orthonormal basis matrix and approximating the covariance matrix with dimensionality reduction in the transformed domain, hence simplifying the inversion of the matrix. A new method that uses the Legendre polynomial as the basis matrix for such transformation is proposed. The efficacy of the proposed method is verified through Field II simulation. Computer simulation results show that the proposed method is better than or almost equal to the above two methods in the approximation error and the lateral response.
Starting Page	1570
Ending Page	1572
Page Count	3
ISSN	00135194
Volume Number	50
e-ISSN	1350911X
Issue Number	Issue 22, Oct (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/el/50/22
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/el.2014.2047
Journal	Electronics Letters
Publisher Date	2014-10-14
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Approximation Error Array Signal Processing Biology And Medical Computing Biomedical Ultrasonics Contrast Resolution Covariance Matrices Covariance Matrix Digital Signal Processing Dimensionality Reduction Fast Minimum Variance Beamforming Method Field II Simulation Interpolation And Function Approximation Lateral Resolution Lateral Response Legendre Polynomial Linear Algebra Medical Signal Processing Medical Ultrasound System MV BF Method Numerical Analysis Numerical Approximation And Analysis Orthonormal Basis Matrix PCA Polynomial Principal Component Analysis Probability Theory Prohibitive Computational Complexity Signal Processing And Detection Signal Resolution Sonic And Ultrasonic Radiation Statistics Stochastic Linearised SCUC
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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