Archives of Acoustics, 49, 3, pp. 429–437, 2024
10.24425/aoa.2024.148807

Mutually Orthogonal Complementary Golay Coded Sequences: An In-vivo Study

Ihor TROTS
Department of Ultrasound, Institute of Fundamental Technological Research Polish Academy of Sciences
Poland

Jurij TASINKIEWICZ
ORCID ID 0000-0003-2261-3919
Department of Ultrasound, Institute of Fundamental Technological Research Polish Academy of Sciences
Poland

Andrzej NOWICKI
ORCID ID 0000-0002-9260-8237
Department of Ultrasound, Institute of Fundamental Technological Research Polish Academy of Sciences
Poland

Fast and high-quality ultrasound imaging allows to increase the effectiveness of detecting tissue changes at the initial stage of disease. The aim of the study was to assess the quality of ultrasound imaging using mutually orthogonal, complementary Golay coded sequences (MOCGCS). Two 16-bits MOCGCS sets were implemented in the Verasonics Vantage™ scanner. Echoes from a perfect reflector, a custom-made nylon wire phantom, a tissue-mimicking phantom, and in-vivo scans of abdominal aorta and common carotid artery were recorded. Three parameters of the detected MOCGCS echoes: signal-to-noise ratio (SNR), side-lobe level (SLL), and axial resolution were evaluated and compared to the same parameters of the echoes recorded using standard complementary Golay sequences (CGS) and a short, one sine cycle pulse. The results revealed that MOCGCS transmission maintained comparable echo quality metrics (SNR, SLL, and axial resolution) compared to CGS and short pulses. Notably, both MOCGCS and CGS offered similar SNR improvements (5 dB–9 dB) in comparison to the short pulse for wires placed at depths up to 8 cm. Analysis of axial resolution, estimated at the full width at half maximum level, revealed near-identical values for all transmitted signals (0.17 μs for MOCGCS, 0.16 μs for CGS, and 0.18 μs for short pulse). MOCGCS implementation in ultrasound imaging offers the potential to significantly reduce image reconstruction time while maintaining image quality comparable to CGS sequences. In the experimental study we have shown that MOCGCS offers advantages over conventional CGS by enabling two times faster data acquisition and image reconstruction without compromising image quality.
Keywords: coded excitation; Golay codes; synthetic aperture; ultrasound imaging
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Copyright © 2024 The Author(s). This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

References

Bae M.H. (2003), Ultrasound imaging method and apparatus using orthogonal Golay codes, U.S. Patent 6638227B2.

Bae M.-H., Lee W.-Y., Jeong M.-K., Kwon S.-J. (2002), Orthogonal Golay code based ultrasonic imaging without reducing frame rate, [in:] 2002 IEEE Ultrasonics Symposium, 2002. Proceedings, pp. 1705–1708, doi: 10.1109/ULTSYM.2002.1192625.

Chiao R.Y., Thomas L.J. (2000), Synthetic transmit aperture imaging using orthogonal Golay coded excitation, [in:] 2000 IEEE Ultrasonics Symposium. Proceedings. An International Symposium, pp. 1677–1680, doi: 10.1109/ULTSYM.2000.921644.

Demi L., Viti J., Kusters L., Guidi F., Tortoli P., Mischi M. (2013), Implementation of parallel transmit beamforming using orthogonal frequency division multiplexing—achievable resolution and interbeam interference, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 60(11): 2310–2320, doi: 10.1109/TUFFC.2013.6644735.

Golay M.J.E. (1961), Complementary series, IRE Transactions on Information Theory, 7(2): 82–87.

Gran F., Jensen J.A. (2006), Frequency division transmission imaging and synthetic aperture reconstruction, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 53(5): 900–911, doi: 10.1109/tuffc.2006.1632681.

Huang X. (2005), Simple implementation of mutually orthogonal complementary sets of sequences, [in:] Proceedings. International Symposium on Intelligent Signal Processing and Communication Systems, pp. 369–372.

Kim B.-H., Song T.-K. (2003), Multiple transmit focusing using modified orthogonal Golay codes for small scale systems, [in:] IEEE Symposium on Ultrasonics, pp. 1574–1577, doi: 10.1109/ULTSYM.2003.1293208.

Kumru Y., Koymen H. (2018), Beam coding with orthogonal complementary Golay codes for signal-to-noise ratio improvement in ultrasound mammography, The Journal of the Acoustical Society of America, 144(3): 1888–1888, doi: 10.1121/1.5068277.

Misaridis T. (2001), Ultrasound imaging using coded signals, Ph.D. Thesis, Center for Fast Ultrasound Imaging Technical University of Denmark.

Misaridis T., Jensen J.A. (2005), Use of modulated excitation signals in medical ultrasound. Part I: basic concepts and expected benefits, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 52(2): 177–191, doi: 10.1109/TUFFC.2005.1406545.

Nowicki A., Secomski W., Litniewski J., Trots I. (2003), On the application of signal compression using Golay’s codes sequences in ultrasound diagnostic, Archives of Acoustics, 28(4): 313–324.

Peng H., Han X., Lu J. (2006), Study on application of complementary Golay code into high frame rate ultrasonic imaging system, Ultrasonics, 44: e93–e96, doi: 10.1016/j.ultras.2006.06.030.

Ramalli A., Guidi F., Boni E., Tortoli P. (2015), A real-time chirp-coded imaging system with tissue attenuation compensation, Ultrasonics, 60: 65–75, doi: 10.1016/j.ultras.2015.02.013.

Tian L., Lu X., Xu C., Li Y. (2021), New mutually orthogonal complementary sets with non-power-of-two lengths, IEEE Signal Processing Letters, 28: 359–363, doi: 10.1109/LSP.2021.3054565.

Tseng C.C., Liu C.L. (1972), Complementary sets of sequences, IEEE Transactions on Information Theory, 18(5): 644–652, doi: 10.1109/TIT.1972.1054860.

Trots I. (2015), Mutually orthogonal Golay complementary sequences in synthetic aperture imaging systems, Archives of Acoustics, 40(2): 283–289, doi: 10.1515/aoa-2015-0031.

Trots I., Nowicki A., Secomski W., Litniewski J. (2004), Golay sequences – side-lobe – canceling codes for ultrasonography, Archives of Acoustics, 29(1): 87–97.

Trots I., Tasinkevych Y., Nowicki A. (2015), Orthogonal Golay codes with local beam pattern correction in ultrasonic imaging, IEEE Signal Processing Letters, 22(10): 1681–1684, doi: 10.1109/LSP.2015.2423619.

Trots I., Tasinkevych Y., Nowicki A., Lewandowski M. (2011), Golay coded sequences in synthetic aperture imaging systems, Archives of Acoustics, 36(4): 913–926, doi: 10.2478/v10168-011-0061-5.

Trots I., Zołek N., Tasinkevych J., Wójcik J. (2022), Mutually Orthogonal Golay Complementary Sequences in Medical Ultrasound Diagnostics. Experimental Study, Archives of Acoustics, 47(3): 399–405, doi: 10.24425/aoa.2022.142013.

Wu S.W., Chen C.Y., Liu Z. (2020), How to construct mutually orthogonal complementary sets with non-power-of-two lengths?, IEEE Transactions on Information Theory, 67(6): 3464–3472, doi: 10.1109/TIT.2020.2980818.

Zhao F., Luo J. (2018), Diverging wave compounding with spatio-temporal encoding using orthogonal Golay pairs for high frame rate imaging, Ultrasonics, 89: 155–165, doi: 10.1016/j.ultras.2018.05.009.




DOI: 10.24425/aoa.2024.148807