Title :
Evaluation of the spectral fit algorithm as functions of frequency range and /spl Delta//spl kappa/a/sub eff/
Author :
Bigelow, Timothy A. ; O´Brien, William D., Jr.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
Considerable effort has been directed at quantifying the properties of the tissue microstructure (i.e., scatterer correlation length) to diagnose disease and monitor treatment. In vivo assessments have had limited success due to frequency-dependent attenuation along the propagation path (i.e., total attenuation) masking the frequency dependence of the scattering from the tissue microstructure. Previously, both total attenuation and scatterer correlation length, given by the effective radius, were solved simultaneously by a two-parameter minimization of the mean squared error between a reference spectrum, modified by the attenuation and scatterer effective radius, and the backscattered waveforms using an algorithm termed the spectral fit algorithm. Herein, the impact of frequency range (largest frequency minus smallest frequency) and /spl Delta//spl kappa/a/sub eff/ (largest /spl kappa/a/sub eff/ value minus smallest /spl kappa/a/sub eff/ value; /spl kappa/ is wave number and a/sub eff/ is scatterer effective radius) used by the spectral fit algorithm on estimating the scatterer effective radius, and total attenuation was assessed by computer simulations while excluding frequencies of the backscattered power spectrum dominated by electronic noise. The simulations varied the effective radius of the scatterers (5 /spl mu/m to 150 /spl mu/m), the attenuation of the region (0 to 1 dB/cm-MHz), the bandwidth of the source, and the amount of electronic noise added to the radio frequency (rf) waveforms. The center frequency of the source was maintained at 8 MHz. Comparable accuracy arid precision of the scatterer effective radius were obtained for all the simulations whenever the same /spl Delta//spl kappa//sub eff/ was used to obtain the estimates. A /spl Delta/a/sub eff/ of 1 gave an accuracy and precision of /spl sim/15% /spl plusmn/ 35%, and a width of 1.5 gave an accuracy and precision of /spl sim/5% /spl plusmn/ 15% consistently for all of the simulations. Similarly, t- - he accuracy and precision of the total attenuation estimate were improved by increasing the frequency range used by the spectral fit algorithm.
Keywords :
biological tissues; biomedical ultrasonics; diseases; mean square error methods; minimisation; patient treatment; /spl Delta//spl kappa/a/sub eff/; backscattered power spectrum; backscattered waveforms; disease diagnosis; electronic noise; frequency-dependent attenuation; reference spectrum; scatterer correlation length; spectral fit algorithm; tissue microstructure; total attenuation; treatment monitoring; two-parameter minimization; Attenuation; Computer simulation; Diseases; Frequency dependence; Frequency estimation; In vivo; Microstructure; Minimization methods; Monitoring; Scattering; Algorithms; Computer Simulation; Connective Tissue; Humans; Image Enhancement; Image Interpretation, Computer-Assisted; Models, Biological; Reproducibility of Results; Sensitivity and Specificity; Spectrum Analysis; Ultrasonography;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2005.1561669