Ultrasound in Medicine and Biology
Volume 36, Issue 2 , Pages 276-287, February 2010

Decomposition of Two-Component Ultrasound Pulses in Cancellous Bone Using Modified Least Squares Prony Method – Phantom Experiment and Simulation

  • Keith A. Wear

      Affiliations

    • Corresponding Author InformationAddress correspondence to: Keith A. Wear, Food and Drug Administration, Center for Devices and Radiological Health, Bldg. 62, Room 3108, 10903 New Hampshire Blvd., Silver Spring, MD 20993 USA.

U.S. Food and Drug Administration, Silver Spring, MD, USA

Received 26 February 2009; received in revised form 27 May 2009; accepted 8 June 2009.

Abstract 

Porous media such as cancellous bone often support the simultaneous propagation of two compressional waves. When small bone samples are interrogated in through-transmission with broadband sources, these two waves often overlap in time. The modified least-squares Prony's (MLSP) method was tested for decomposing a 500kHz-center-frequency signal containing two overlapping components: one passing through a polycarbonate plate (to produce the “fast” wave) and another passing through a cancellous-bone-mimicking phantom (to produce the “slow” wave). The MLSP method yielded estimates of attenuation slopes accurate to within 7% (polycarbonate plate) and 2% (cancellous bone phantom). The MLSP method yielded estimates of phase velocities accurate to within 1.5% (both media). The MLSP method was also tested on simulated data generated using attenuation slopes and phase velocities corresponding to bovine cancellous bone. Throughout broad ranges of signal-to-noise ratio (SNR), the MLSP method yielded estimates of attenuation slope that were accurate to within 1.0% and estimates of phase velocity that were accurate to within 4.3% (fast wave) and 1.3% (slow wave). (E-mail: keith.wear@fda.hhs.gov).

Key Words: Prony's method, Cancellous bone, Attenuation, Phase velocity

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PII: S0301-5629(09)01284-8

doi:10.1016/j.ultrasmedbio.2009.06.1092

Ultrasound in Medicine and Biology
Volume 36, Issue 2 , Pages 276-287, February 2010