title: Fast and slow wave detection in bovine cancellous bone in vitro using bandlimited deconvolution and Prony's method.
abstract: Fast and slow waves were detected in a bovine cancellous bone sample for thicknesses ranging from 7 to 12 mm using bandlimited deconvolution and the modified least-squares Prony's method with curve fitting (MLSP + CF). Bandlimited deconvolution consistently isolated two waves with linear-with-frequency attenuation coefficients as evidenced by high correlation coefficients between attenuation coefficient and frequency: 0.997 ± 0.002 (fast wave) and 0.986 ± 0.013 (slow wave) (mean ± standard deviation). Average root-mean-squared (RMS) differences between the two algorithms for phase velocities were 5 m/s (fast wave, 350 kHz) and 13 m/s (slow wave, 750 kHz). Average RMS differences for signal loss were 1.6 dB (fast wave, 350 kHz) and 0.4 dB (slow wave, 750 kHz). Phase velocities for thickness = 10 mm were 1726 m/s (fast wave, 350 kHz) and 1455 m/s (slow wave, 750 kHz). Results show support for the model of two waves with linear-with frequency attenuation, successful isolation of fast and slow waves, good agreement between bandlimited deconvolution and MLSP + CF as well as with a Bayesian algorithm, and potential variations of fast and/or slow wave properties with bone sample thickness.
authors.affiliation: U.S. Food and Drug Administration, Silver Spring, Maryland 20993.
authors.forename: Keith
authors.initials: K
authors.lastname: Wear
authors.affiliation: Department of Electronics, Kobe City College of Technology 8-3, Gakuen Higashi-cho, Nishiku, Kobe, 651-2194 Japan.
authors.forename: Yoshiki
authors.initials: Y
authors.lastname: Nagatani
authors.affiliation: Underwater Technology Collaborative Research Center, Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba Meguro-ku, Tokyo, 153-8505, Japan.
authors.forename: Katsunori
authors.initials: K
authors.lastname: Mizuno
authors.affiliation: Laboratory of Ultrasonic Electronics, Faculty of Science and Engineering, Doshisha University 1-3, Tatara Miyakodani, Kyotanabe, 610-0321, Kyoto, Japan.
authors.forename: Mami
authors.initials: M
authors.lastname: Matsukawa
mesh_terms: D000465:Algorithms; D000818:Animals; D001499:Bayes Theorem; D002417:Cattle; D005260:Female; D005270:Femur Head / Q000000981:diagnostic imaging*; D016014:Linear Models; D009038:Motion; D012815:Signal Processing, Computer-Assisted; D013016:Sound; D013997:Time Factors; D014465:Ultrasonics / Q000379:methods*; D014463:Ultrasonography