# Improving Ultrasonic C-Scan Resolution Using the Hilbert-Huang Transform

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- On a Hyper Hilbert Transform. Chen, Jiecheng; Ding, Yong; Fan, Dashan // Chinese Annals of Mathematics;Oct2003, Vol. 24 Issue 4, p475
The authors define the directional hyper Hilbert transform and give its mixed norm estimate. The similar conclusions for the directional fractional integral of one dimension are also obtained in this paper. As an application of the above results, the authors give the L[sup p]-boundedness for a...

- Identity for a spectral function connected with the Hilbert transform. Zeinstra, R.; Alenitsyn, A.; Arshad, M. // Journal of Mathematical Sciences;Apr2008, Vol. 150 Issue 1, p1799
We give a new proof of the identity, known as the ï¿½sum ruleï¿½ in the statistical quantum mechanics, for the integral over the real axis of a nonlinear combination of a function u(x) in a certain class and its Hilbert transform. Examples where the identity fails are given Bibliography: 5...

- The Hilbert Transform and Fine Continuity. Twomey, J. B. // Bulletin of the Irish Mathematical Society;Winter2006, Issue 58, p81
It is shown that the Hilbert transform of a function having bounded variation in a finite interval [c, d] has fine continuity properties at points in [c, d] outside certain exceptional sets.

- Robust Speech Feature Extraction Using the Hilbert Transform Spectrum Estimation Method. Huan Zhao; He Liu; Kai Zhao; Yong Yang // International Journal of Digital Content Technology & its Applic;Dec2011, Vol. 5 Issue 12, p85
The performance of traditional mel-frequency cepstral coefficients (MFCC) speech feature extraction method decreases drastically in the complex noisy environment. To improve the performance and robustness of speech recognition system, which is based on spectral envelope estimation method, the...

- Self-similar solutions for a transport equation with non-local flux. CASTRO, Angel; CÓRDOBA, Diego // Chinese Annals of Mathematics;Sep2009, Vol. 30 Issue 5, p505
The authors construct self-similar solutions for an N-dimensional transport equation, where the velocity is given by the Riezs transform. These solutions imply nonuniqueness of weak solution. In addition, self-similar solution for a one-dimensional conservative equation involving the Hilbert...

- EXTERIOR/INTERIOR PROBLEM FOR THE CIRCULAR MEANS TRANSFORM WITH APPLICATIONS TO INTRAVASCULAR IMAGING. AMBARTSOUMIAN, GAIK; KUNYANSKY, LEONID // Inverse Problems & Imaging;May2014, Vol. 8 Issue 2, p339
Exterior inverse problem for the circular means transform (CMT) arises in the intravascular photoacoustic imaging (IVPA), in the intravascular ultrasound imaging (IVUS), as well as in radar and sonar. The reduction of the IPVA to the CMT is quite straightforward. As shown in the paper, in IVUS...

- Three-Dimensional Unsteady State Temperature Distribution of Thin Rectangular Plate with Moving Point Heat Source. Ahire, Yogita M.; Ghadle, Kirtiwant P. // Indian Journal of Materials Science;8/16/2016, p1
This paper deals with the study of thermal stresses in thin rectangular plate subjected to point heat source which changes its place along x-axis. Governing heat conduction equation has been solved by using integral transform technique. Results are obtained in the form of infinite series. As a...

- ultrasonography. // Taber's Cyclopedic Medical Dictionary (2009);2009, Issue 21, p2399
An encyclopedia entry for "ultrasonography," which refers to the use of ultrasound to produce an image or photograph of an organ or tissue, is presented.

- On a Result of Telyakovskii and Multiple Hilbert Transforms with Polynomial Phases. Oskolkov, K. I. // Mathematical Notes;Jul/Aug2003, Vol. 74 Issue 1/2, p232
In this paper, we prove a multiple analog of the theorem proved by Arkhipov and the author in 1987, which provides an estimate for the discrete Hilbert transform with polynomial phase. For the linear case, the corresponding estimates of the sum of multiple trigonometric series was proved by...