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

2010 ◽  
Vol 36 (2) ◽  
pp. 276-287 ◽  
Author(s):  
Keith A. Wear
Keyword(s):  
Least Squares ◽  
Cancellous Bone ◽  
Phantom Experiment ◽  
Prony Method ◽  
Two Component ◽  
Experiment And Simulation

Variable-Frequency Prony Method in the Analysis of Electrical Power Quality

2012 ◽  
Vol 19 (1) ◽  
pp. 39-48 ◽  
Author(s):  
Jarosław Zygarlicki ◽  
Janusz Mroczka
Keyword(s):  
Least Squares ◽  
Power Quality ◽  
Electrical Power ◽  
Electric Energy ◽  
Variable Frequency ◽  
Prony Method ◽  
Analysis Window ◽  
Proposed Modification ◽  
Selection Of

Variable-Frequency Prony Method in the Analysis of Electrical Power QualityThe article presents a new modification of the the least squares Prony method. The so-called variable-frequency Prony method can be a useful tool for estimating parameters of sinusoidal components, which, in the analyzed signal, are characterized by time-dependent frequencies. The authors propose use of the presented method for testing the quality of electric energy. It allows observation of phenomena which, when using traditional methods, are averaged in the analysis window. The proposed modification of least squares Prony method is based on introduction and specific selection of a frequency matrix. This matrix represents frequencies of estimated components and their variability in time.

Spectrophotometric Determination of Atropine Sulfate in the Presence of Phenylmercury (II) Acetate

1981 ◽  
Vol 64 (4) ◽  
pp. 855-859
Author(s):  
Abdel Aziz M Wahbi ◽  
Magda Barary
Keyword(s):  
Least Squares ◽  
Spectrophotometric Determination ◽  
Spectrophotometric Method ◽  
Atropine Sulfate ◽  
Official Method ◽  
Method Of Least Squares ◽  
Orthogonal Function ◽  
Two Component ◽  
Good Agreement

Abstract Two-component spectrophotometric method of analysis using 2 wavelengths, the method of least squares using absorbances, the method using 2-orthogonal function coefficients, and the method of least squares using orthogonal function coefficients have been applied to the determination of atropine sulfate in the presence of phenylmercury (II) acetate, compounds whose spectra overlap. The first method gave erroneous results; the second method gave satisfactory results for synthetic mixtures. The fourth method was superior, especially in the presence of irrelevant absorption. It has been successfully used for determining atropine sulfate in injection solutions in which a cubic irrelevant absorption was present. Results were in good agreement with those obtained by the official method.

Effects of bone marrow on the ultrasonic propagation in the cancellous bone ‐ Comparative study on experiment and simulation

2008 ◽  
Vol 123 (5) ◽  
pp. 3637-3637
Author(s):  
Takashi Saeki ◽  
Masahiro Emura ◽  
Katsunori Mizuno ◽  
Mami Matsukawa ◽  
Yoshiki Nagatani
Keyword(s):  
Bone Marrow ◽  
Comparative Study ◽  
Cancellous Bone ◽  
Experiment And Simulation ◽  
Ultrasonic Propagation

Sample thickness dependence of Bayesian and modified least squares Prony’s analysis methods on systematically shortened bovine cancellous bone

2015 ◽  
Vol 137 (4) ◽  
pp. 2286-2286
Author(s):  
Amber Groopman ◽  
Keith Wear ◽  
Yoshiki Nagatani ◽  
Katsunori Mizuno ◽  
Mami Matsukawa ◽  
...  
Keyword(s):  
Least Squares ◽  
Cancellous Bone ◽  
Sample Thickness ◽  
Thickness Dependence ◽  
Analysis Methods
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