Comparative study of periodicity estimation methods using ultrasonic signals
Kauati, Adriana; Pereira, Wagner Coelho de Albuquerque ; Campos, Marcello Luiz Rodrigues
http://dx.doi.org/10.1590/2446-4740.03815
Res. Biomed. Eng., vol.32, n3, p.234-242, 2016
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Abstract
Introduction: Various signal-processing techniques have been proposed to extract quantitative information about internal structures of tissues from the original radio frequency (RF) signals instead of an ultrasound image. The quantifiable parameter called the mean scatterer spacing (MSS) can be useful to detect changes in the quasi-periodic microstructure of tissues such as the liver or the spleen, using ultrasonic signals. Methods: We evaluate and compare the performance of three classic methods of spectral estimation to calculate the MSS without operator intervention: Tufts-Kumaresan, SAC (Spectral Autocorrelation) and MUSIC (MUltiple SIgnal Classification). Initially the evaluations were performed with 10,000 signals simulated from a model in which the variables of interest are controlled, and then, real signals from sponge phantoms were used. Results: For the simulated signals, the performance of all three methods decreased with increasing Ad or jitter levels. For the sponges, none of the methods accurately estimated the pore size. Conclusion: For the simulated signals, Tufts-Kumaresan had the lowest performance, whereas SAC and MUSIC had similar results. For sponges, only Tufts-Kumaresan was able to detect the increase in the size of the pores of the sponge, although most often, it estimated sizes larger than expected.
Keywords
Mean spacing, Ultrasonic scatterers, Spectral estimation, Periodic media.
References
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Kauati A, Pereira WCA, Campos MLRC. Detecção automática do espaçamento médio de meios periódicos por sinais ultrassônicos retroespalhados. Revista Brasileira de Engenharia Biomédica. 2012; 28(3):261-71. http://dx.doi.org/10.4322/rbeb.2012.033.
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Maciel CD. Análise de espectro singular aplicada a sinais ultra-sônicos [dissertation]. Rio de Janeiro: Universidade Federal do Rio Janeiro; 2000.
Marple SL. Digital spectral analysis: with applications. New Jersey: Prentice-Hall; 1987.
Narayanan VM, Molthen RC, Shankar PM, Vergara LJ, Reid M. Studies on ultrasonic scattering from quasi-periodic structures. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1997; 44(1):114-24. http://dx.doi.org/10.1109/58.585205. PMid:18244109.
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Pereira WCA, Bridal SL, Coron A, Laugier P. Singular spectrum analysis applied to backscattered ultrasound signals from in vitro human cancellous bone specimens. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 2004; 51(3):302-12. http://dx.doi.org/10.1109/TUFFC.2004.1320786. PMid:15128217.
Shung KK, Thieme GA. Ultrasonic scattering in biological tissue. Boca Raton: CRC Press; 1993.
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Tufts DW, Kumaresan R. Estimation of frequencies of multiple sinusoids: making linear prediction perform like maximum likelihood. Proceedings of the IEEE. 1982; 70(9):975-89. http://dx.doi.org/10.1109/PROC.1982.12428.
Varghese T, Donohue KD. Characterization of tissue microstructure scatterer distribution with spectral correlation. Ultrasonic Imaging. 1993; 15(3):238-54. http://dx.doi.org/10.1177/016173469301500304. PMid:8879094.
Varghese T, Donohue KD. Estimating mean scatterer spacing with the frequency-smoothed Spectral autocorrelation function. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1995; 42(3):451-63. http://dx.doi.org/10.1109/58.384455.
Varghese T, Donohue KD. Mean scatterer spacing estimate with spectral correlation. The Journal of the Acoustical Society of America. 1994; 96(6):3504-15. http://dx.doi.org/10.1121/1.410611. PMid:7814765.
Wear KA, Wagner RF, Insana MF, Hall TJ. Application of autoregressive spectral analysis to cepstral estimation of mean scatterer spacing. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1993; 40(1):50-8. http://dx.doi.org/10.1109/58.184998. PMid:18263156.
Bouzitoune R, Meziri M, Machado CB, Padilla F, Pereira WCA. Can early hepatic fibrosis stages be discriminated by combining ultrasonic parameters? Ultrasonics. 2016; 68:120-6. http://dx.doi.org/10.1016/j.ultras.2016.02.014. PMid:26945441.
Chen SP, Tsao S, Tsao J. A joint time-frequency approach to mean scatterer spacing estimation. In: Proceedings of the 4th International Conference on Biomedical Engineering and Informatics; 2011 Oct 15-17; Shanghai. USA: IEEE; 2011. 602-6. http://dx.doi.org/10.1109/BMEI.2011.6098431.
Fellingham L, Sommer F. Ultrasonic characterization of tissue structure in the in vivo human liver and spleen. IEEE Transactions on Sonics and Ultrasonics. 1984; SU-31(4):418-28. http://dx.doi.org/10.1109/T-SU.1984.31522.
Huang K, Ta D, Wang W, Le LH. Simplified inverse filter tracking algorithm for estimating the mean trabecular bone spacing. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 2008; 55(7):1453-64. http://dx.doi.org/10.1109/TUFFC.2008.820. PMid:18986934.
Kauati A, Pereira WCA, Campos MLRC. Detecção automática do espaçamento médio de meios periódicos por sinais ultrassônicos retroespalhados. Revista Brasileira de Engenharia Biomédica. 2012; 28(3):261-71. http://dx.doi.org/10.4322/rbeb.2012.033.
Lu ZF, Zagzebski JA, Lee TF. Ultrasound backscatter and attenuation in human liver with diffuse disease. Ultrasound in Medicine & Biology. 1991; 25:1047-57.
Machado CB, Pereira WCA, Meziri M, Laugier P. Characterization of in vitro healthy and pathological human liver tissue periodicity using backscattered ultrasound signals. Ultrasound in Medicine & Biology. 2006; 32(5):649 57. http://dx.doi.org/10.1016/j. ultrasmedbio.2006.01.009. PMid:18285062.
Maciel CD. Análise de espectro singular aplicada a sinais ultra-sônicos [dissertation]. Rio de Janeiro: Universidade Federal do Rio Janeiro; 2000.
Marple SL. Digital spectral analysis: with applications. New Jersey: Prentice-Hall; 1987.
Narayanan VM, Molthen RC, Shankar PM, Vergara LJ, Reid M. Studies on ultrasonic scattering from quasi-periodic structures. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1997; 44(1):114-24. http://dx.doi.org/10.1109/58.585205. PMid:18244109.
Pan W, Shen Y, Liu T, Wang Y. Golay improvement of the robustness of mean scatterer spacing measurement with ultrasonic backscattering. Bio-Medical Materials and Engineering. 2015; 26(s1 Suppl 1):455-65. http://dx.doi.org/10.3233/BME-151335. PMid:26406037.
Pereira WCA, Abdelwahab A, Bridal SL, Laugier P. Singular spectrum analysis applied to 20MHz backscattered ultrasound signals from periodic and quasi-periodic phantoms. Acoustical Imaging. 2002; 26:239-46. http://dx.doi.org/10.1007/978-1-4419-8606-1_31.
Pereira WCA, Bridal SL, Coron A, Laugier P. Singular spectrum analysis applied to backscattered ultrasound signals from in vitro human cancellous bone specimens. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 2004; 51(3):302-12. http://dx.doi.org/10.1109/TUFFC.2004.1320786. PMid:15128217.
Shung KK, Thieme GA. Ultrasonic scattering in biological tissue. Boca Raton: CRC Press; 1993.
Simon C, Shen J, Seip R, Ebbini ES. A Robust and computationally efficient algorithm for mean scatterer spacing estimation. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1997; 44(4):882-94. http://dx.doi.org/10.1109/58.655203.
Tufts DW, Kumaresan R. Estimation of frequencies of multiple sinusoids: making linear prediction perform like maximum likelihood. Proceedings of the IEEE. 1982; 70(9):975-89. http://dx.doi.org/10.1109/PROC.1982.12428.
Varghese T, Donohue KD. Characterization of tissue microstructure scatterer distribution with spectral correlation. Ultrasonic Imaging. 1993; 15(3):238-54. http://dx.doi.org/10.1177/016173469301500304. PMid:8879094.
Varghese T, Donohue KD. Estimating mean scatterer spacing with the frequency-smoothed Spectral autocorrelation function. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1995; 42(3):451-63. http://dx.doi.org/10.1109/58.384455.
Varghese T, Donohue KD. Mean scatterer spacing estimate with spectral correlation. The Journal of the Acoustical Society of America. 1994; 96(6):3504-15. http://dx.doi.org/10.1121/1.410611. PMid:7814765.
Wear KA, Wagner RF, Insana MF, Hall TJ. Application of autoregressive spectral analysis to cepstral estimation of mean scatterer spacing. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1993; 40(1):50-8. http://dx.doi.org/10.1109/58.184998. PMid:18263156.
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