Robust Beamforming for Ultrasonic Imaging using Wavelet-based Thresholding and Coherence Weighting

[1] J. Park, S. M. Wi, and J. S. Lee, "Computationally efficient adaptive beamformer for ultrasound imaging based on QR decomposition,” IEEE Transactions on ultrasonics, Ferroelectrics, and frequency control, vol. 63, no. 2, pp. 256 - 265, 2016.

[2] J. Lambert, A. Pédron, G. Gens, F. Bimbard, L. Lacassagne, and E. Iakovleva, "Performance evaluation of total focusing method on GPP and GPU," Conference on Design and Architectures for Signal and Image Processing, pp. 1-8, 2012.

[3] L. P. Piedade, G. Painchaud-April, and P. B. A. Le Duff, "Minimum transmission events for fast ultrasonic TFM imaging: A comparative study," NDT & E International, vol. 128, 2022.

[4] T. Stepinski and F. Lingvall, "Synthetic aperture focusing techniques for ultrasonic imaging of solid objects," 8th European Conference on Synthetic Aperture Radar, pp. 438-441, 2010.

[5] S. M. Sakhaei, "A decimated minimum variance beamformer applied to ultrasound imaging,” Ultrasonics, vol. 59, pp. 119-127, 2015.

[6] A. M. Deylami and B. M. Asl, "A fast and robust beamspace adaptive beamformer for medical ultrasound imaging," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 64, no. 6, pp. 947-958, 2017.

[7] A. M. Deylami and B. M. Asl, " Iterative minimum variance beamformer with low complexity for medical ultrasound imaging," Ultrasound in Medicine & Biology, vol. 44, pp. 1882-1890, 2018.

[8] B. M. Asl and A. M. Deylami, "A low complexity minimum variance beamformer for ultrasound imaging using dominant mode rejection," Ultrasonics, vol. 85, pp. 49-60, 2018.

[9] A. S. Vaidya and M. B. Srinivas, "A low-complexity and robust minimum variance beamformer for ultrasound imaging systems using beamspace dominant mode rejection,” Ultrasonics, vol. 101, 2020.

[10] J. Pan, Y. Wang, Y. Wang, Z. Han, C. Zheng, and H. Peng, "Adaptive spatial smoothing-based minimum variance beamforming using signal coherence to improve image quality," IEEE International Ultrasonics Symposium (IUS), 2022.

[11] A. M. Deylami and B. M. Asl, "High resolution minimum variance beamformer with low complexity in medical ultrasound imaging,” Ultrasound in Medicine & Biology, vol. 45, no. 10, pp. 2805-2818, 2019.

[12] Z. Shen, J. Li, and Q. Wu, "A fast adaptive beamformer with sidelobe control based on gradient descent ascent," Signal Processing, vol. 206, p. 108906, 2023.

[13] K. Ji, P. Zhao, C. Zhuo, H. Chen, J. Wang, and J. Fu, "High-accuracy ultrasonic imaging of the defects in the complex-surface components by the search-vector imaging condition," Mechanical Systems and Signal Processing, vol. 216, 2024.

[14] J. Wu, H. Hu, Y. Song, P. Ni, and X. Li, "Ultrasonic phased array imaging of multi-layered structures using full-matrix migration and normalized cross-correlation matching technique," NDT & E International, vol. 145, 2024.

[15] Z. Zhao, L. Liu, W. Liu, D. Teng, Y. Xiang, and F. Z. Xuan, "Discretized tensor-based model of total focusing method: A sparse regularization approach for enhanced ultrasonic phased array imaging," NDT & E International, vol. 141, 2024.

[16] D. Teng, L. Liu, Y. Xiang, and F. Z. Xuan, "An optimized total focusing method based on delay-multiply-and-sum for nondestructive testing," Ultrasonics, vol. 128, 2023.

[17] N. Molinier, G. Painchaud-April, A. L. Duff, M. Toews, and P. Bélanger, "Ultrasonic imaging using conditional generative adversarial networks," Ultrasonics, vol. 133, 2023.

[18] H. Yang, J. Shu, S. Li, and Y. Duan, "Ultrasonic array tomography-oriented subsurface crack recognition and cross-section image reconstruction of reinforced concrete structure using deep neural networks," Journal of Building Engineering, vol. 82, 2024.

[19] G. Granados, R. Miorelli, F. Gatti, S. Robert, and D. Clouteau, "Towards a multi-fidelity deep learning framework for a fast and realistic generation of ultrasonic multi-modal Total Focusing Method images in complex geometries," NDT & E International, vol. 139, 2023.

[20] A. Ghaedi, R. Sedaghati, M. Mahmoudian, and S. Bazyari, "De-noising of partial discharge signals in HV XLPE cables by reference noise based on the wavelet transform," International Journal of Industrial Electronics Control and Optimization, vol. 6, no. 4, pp. 291-306, 2023.

[21] A. M. Deylami and B. M. Asl, "Improving the coherence coefficient resistance in ultrasonic beamforming," Twenty-Third Iranian Conference of Electrical Engineering, Sharif University of Technology, May 2015.

[22] J. Lester and W. Schmmer, "Fundamentals of ultrasonic phased arrays," Springer, 2014.

[23] M. Bekrani and V. Hamiyati-Vaghef, "An improved method for ultrasound imaging in weld inspection," Iranian Journal of Electrical and Electronic Engineering, vol. 17, no. 1, pp. 45-59, 2020.

[24] M. Bekrani, "Phased array ultrasonic imaging using improved total focusing method based on beamforming in non-destructive test," Journal of Welding Science and Technology of Iran, vol. 6, no. 1, pp. 115-132, 2020.

[25] B. Widrow and S. D. Stearns, "Adaptive signal processing," Prentice-Hall,1985.

[26] G. O. Y. M . Misiti, and J. M. Poggi, "Wavelets and their applications," John Wiley & Sons, 2013.

[27] F. Ping and L. Xinbao, "An improved denoising method for ultrasonic echo of non-destructive evaluation," IEEE International Conference on Anti-counterfeiting, Security, and Identification (ASID), 2016.

[28] R. S. V. Matz, S. Starman, and M. Kreidl, "Signal-to-noise ratio enhancement based on wavelet filtering in ultrasonic testing," Ultrasonics, vol. 49, pp. 752-759, 2009.

[29] D. L. Donoho, "De-noising by soft-thresholding," IEEE Transactions on Information Theory, vol. 41, no. 3, pp. 613-627, 1995.

[30] T. F. Sanam and C. Shahnaz, "Noisy speech enhancement based on an adaptive threshold and a modified hard thresholding function in wavelet packet domain," Digital Signal Processing, vol. 23, pp. 941-951, 2013.

[31] J. Camacho, M. Parrilla, and C. Fritsch, "Phase coherence imaging," IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 56, no. 5, pp. 958-974, 2009.

[32] B. K. G. R. Baiotto, C. Nageswaran, and T. Clarke, "Coherence weighting applied to FMC/TFM data from austenitic CRA clad lined pipes," Journal of Nondestructive Evaluation, vol. 37, no. 49, 2018.

[33] B. W. D. C. Holmes and P. D. Wilcox, "Post-processing of the full matrix of ultrasonic transmit–receive array data for non-destructive evaluation," NDT & E International, vol. 38, pp. 701-711, 2005.

[34] M. Bekrani and V. Hamiyati-Vaghef, "A new method for designing and implementation of NDT weld inspection of boiler tubes using ultrasonic phased array," Electronics Industries, vol. 12, no. 4, pp. 39-51, 2022.