Relevant bibliographies by topics / Hilbert transform / Journal articles

Journal articles on the topic 'Hilbert transform'

To see the other types of publications on this topic, follow the link: Hilbert transform.
Author: Grafiati
Published: 4 June 2021
Last updated: 28 July 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Hilbert transform.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Liflyand, Elijah. "Fourier transform versus Hilbert transform." Journal of Mathematical Sciences 187, no. 1 (October 14, 2012): 49–56. http://dx.doi.org/10.1007/s10958-012-1048-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Bertie, John E., and Shuliang L. Zhang. "Infrared intensities of liquids. IX. The Kramers–Kronig transform, and its approximation by the finite Hilbert transform via fast Fourier transforms." Canadian Journal of Chemistry 70, no. 2 (February 1, 1992): 520–31. http://dx.doi.org/10.1139/v92-074.

Full text
Abstract:
It is well known that the infinite Kramers–Kronig transform is equivalent to the infinite Hilbert transform, which is equivalent to the allied Fourier integrals. The Hilbert transform can thus be implemented using fast Fourier transform routines. Such implementation is usually some 60 times faster than the Kramers–Kronig transform for a data file containing about 7 points. This paper reports that, for transformations between the real and imaginary refractive indices, [Formula: see text] and [Formula: see text] in [Formula: see text], the FFT-based Hilbert transform can be much less accurate than, or as accurate as, the Kramers–Kronig transform, depending on the algorithm used. The Kramers–Kronig transform, incorporating Mclaurin's formula for finding the principal value of the integral, transforms [Formula: see text] spectra into [Formula: see text] spectra that are accurate to about 0.05%. Some Hilbert transform algorithms in the literature yield only about 4% accuracy. The BZ algorithm for the Hilbert transform is presented, for use on a laboratory computer running under DOS, that yields [Formula: see text] spectra accurate to 0.05%. For the transform from [Formula: see text] to [Formula: see text], the BZ algorithm gives [Formula: see text] accurate to about −0.2% of the largest k value in the spectrum. This compares with an accuracy of 0.5% for the Kramers–Kronig transform. In cases where the [Formula: see text] spectrum is truncated at low wavenumbers, a simple method is presented that improves by a factor of ~10 the accuracy at low wavenumber of the [Formula: see text] spectrum obtained by Hilbert or Kramers–Kronig transforms of the [Formula: see text] spectrum. Keywords: infrared intensities, complex refractive indices, Kramers–Kronig transform, Hilbert transform, optical constants.
APA, Harvard, Vancouver, ISO, and other styles
3

Aliev, Rashid, and Lale Alizade. "Approximation of the Hilbert transform in the Lebesgue spaces." Journal of Numerical Analysis and Approximation Theory 52, no. 2 (December 28, 2023): 139–54. http://dx.doi.org/10.33993/jnaat522-1312.

Full text
Abstract:
The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the real and imaginary components, and the magnitude and phase components of spectra. The Hilbert transform is a multiplier operator and is widely used in the theory of Fourier transforms. The Hilbert transform is the main part of the singular integral equations on the real line. Therefore, approximations of the Hilbert transform are of great interest. Many papers have dealt with the numerical approximation of the singular integrals in the case of bounded intervals. On the other hand, the literature concerning the numerical integration on unbounded intervals is by far poorer than the one on bounded intervals. The case of the Hilbert Transform has been considered very little. This article is devoted to the approximation of the Hilbert transform in Lebesgue spaces by operators which introduced by V.R.Kress and E.Mortensen to approximate the Hilbert transform of analytic functions in a strip. In this paper, we prove that the approximating operators are bounded maps in Lebesgue spaces and strongly converges to the Hilbert transform in these spaces.
APA, Harvard, Vancouver, ISO, and other styles
4

Munadi, Suprajitno. "Fast Hilbert Transform." Scientific Contributions Oil and Gas 11, no. 1 (April 13, 2022): 4–16. http://dx.doi.org/10.29017/scog.11.1.894.

Full text
Abstract:
The use of Hilbert Transform is becoming more and more Important for analysis and processing of geophysical data. However, the direct mathematical formulation in the form of contour integration is not easy to pro. A specific formulation which relates the Hilbert transform and the Fourier transform has been established for developing a computer Programme. This relationship enables us to execute the Hilbert Transformation in a very quick manner using the well known Fast Fourier transform algorithm.The application of this method for generating quadrature seismic trace and recovering minimum phase specimum from the magnitude demonstrates the effectiveness of the programme. The conversion of non-minimum phase seismic wavelet whichas similar spectral magnitude can be done using the hilbert transform.
APA, Harvard, Vancouver, ISO, and other styles
5

Lohmann, Adolf W., David Mendlovic, and Zeev Zalevsky. "Fractional Hilbert transform." Optics Letters 21, no. 4 (February 15, 1996): 281. http://dx.doi.org/10.1364/ol.21.000281.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Huang, Norden, Zhaohua Wu, and Steven Long. "Hilbert-Huang transform." Scholarpedia 3, no. 7 (2008): 2544. http://dx.doi.org/10.4249/scholarpedia.2544.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Wang, Yan Hai. "The Local Fractional Hilbert Transform Based on Fractal Theory." Advanced Materials Research 998-999 (July 2014): 996–99. http://dx.doi.org/10.4028/www.scientific.net/amr.998-999.996.

Full text
Abstract:
In this paper, the local fractional Hilbert transform in fractal space is established. The characteristics of this local fractional transform are discussed in the following. Considering the basic properties of the local fractional Hilbert transforms, a kind of transform for local fractional is derived and analyzed.
APA, Harvard, Vancouver, ISO, and other styles
8

Abdullah, Naheed, and Saleem Iqbal. "The Fractional Hilbert Transform of Generalized Functions." Symmetry 14, no. 10 (October 8, 2022): 2096. http://dx.doi.org/10.3390/sym14102096.

Full text
Abstract:
The fractional Hilbert transform, a generalization of the Hilbert transform, has been extensively studied in the literature because of its widespread application in optics, engineering, and signal processing. In the present work, we expand the fractional Hilbert transform that displays an odd symmetry to a space of generalized functions known as Boehmians. Moreover, we introduce a new fractional convolutional operator for the fractional Hilbert transform to prove a convolutional theorem similar to the classical Hilbert transform, and also to extend the fractional Hilbert transform to Boehmians. We also produce a suitable Boehmian space on which the fractional Hilbert transform exists. Further, we investigate the convergence of the fractional Hilbert transform for the class of Boehmians and discuss the continuity of the extended fractional Hilbert transform.
APA, Harvard, Vancouver, ISO, and other styles
9

ALIEV, R. A., and L. G. SAMADOVA. "Boundedness of the discrete Hilbert transform in discrete Hölder spaces." Baku Mathematical Journal 2, no. 1 (March 1, 2023): 47–56. http://dx.doi.org/10.32010/j.bmj.2023.04.

Full text
Abstract:
The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory. The Hilbert transform was the motivation for the development of modern harmonic analysis. Its discrete version is also widely used in many areas of science and technology and plays an important role in digital signal processing. The essential motivation behind thinking about discrete transforms is that experimental data are most frequently not taken in a continuous manner but sampled at discrete time values. Since much of the data collected in both the physical sciences and engineering are discrete, the discrete Hilbert transform is a rather useful tool in these areas for the general analysis of this type of data. The Hilbert transform has been well studied on classical function spaces such as H¨older, Lebesgue, Morrey, etc. But its discrete version, which also has numerous applications, has not been fully studied in discrete analogues of these spaces. In this paper, we discuss the discrete Hilbert transform in discrete H¨older spaces and obtain its boundedness in these spaces.
APA, Harvard, Vancouver, ISO, and other styles
10

Dragomir, Silvestru. "Inequalities for a generalized finite Hilbert transform of convex functions." Mathematica Moravica 25, no. 2 (2021): 81–96. http://dx.doi.org/10.5937/matmor2102081s.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Olkkonen, Juuso T., and Hannu Olkkonen. "Complex Hilbert Transform Filter." Journal of Signal and Information Processing 02, no. 02 (2011): 112–16. http://dx.doi.org/10.4236/jsip.2011.22015.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Karunakaran, V., and N. V. Kalpakam. "Hilbert transform for boehmians." Integral Transforms and Special Functions 9, no. 1 (April 2000): 19–36. http://dx.doi.org/10.1080/10652460008819239.

Full text
APA, Harvard, Vancouver, ISO, and other styles
13

Min-Hung Yeh and Soo-Chang Pei. "Discrete fractional Hilbert transform." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 47, no. 11 (2000): 1307–11. http://dx.doi.org/10.1109/82.885138.

Full text
APA, Harvard, Vancouver, ISO, and other styles
14

Tarasov, M. A., A. Ya Shul'man, G. V. Prokopenko, V. P. Koshelets, O. Yu Polyanski, I. L. Lapitskaya, A. N. Vystavkin, and E. L. Kosarev. "Quasioptical Hilbert transform spectrometer." IEEE Transactions on Appiled Superconductivity 5, no. 2 (June 1995): 2686–89. http://dx.doi.org/10.1109/77.403144.

Full text
APA, Harvard, Vancouver, ISO, and other styles
15

Гуриелашвили, Р. И. "On the Hilbert transform." Analysis Mathematica 13, no. 2 (June 1987): 121–37. http://dx.doi.org/10.1007/bf02202571.

Full text
APA, Harvard, Vancouver, ISO, and other styles
16

Cui, Xiaona, Rui Wang, and Dunyan Yan. "Double Hilbert transform on." Frontiers of Mathematics in China 8, no. 4 (April 10, 2013): 783–99. http://dx.doi.org/10.1007/s11464-013-0269-y.

Full text
APA, Harvard, Vancouver, ISO, and other styles
17

Olver, Sheehan. "Change of variable formulas for regularizing slowly decaying and oscillatory Cauchy and Hilbert transforms." Analysis and Applications 12, no. 04 (June 17, 2014): 369–84. http://dx.doi.org/10.1142/s0219530514500353.

Full text
Abstract:
Formulas are derived for expressing Cauchy and Hilbert transforms of a function f in terms of Cauchy and Hilbert transforms of f(xr). When r is an integer, this corresponds to evaluating the Cauchy transform of f(xr) at all choices of z1/r. Related formulas for rational r result in a reduction to a generalized Cauchy transform living on a Riemann surface, which in turn is reducible to the standard Cauchy transform. These formulas are used to regularize the behavior of functions that are slowly decaying or oscillatory, in order to facilitate numerical computation and extend asymptotic results.
APA, Harvard, Vancouver, ISO, and other styles
18

Xu, Shuiqing, Li Feng, Yi Chai, Youqiang Hu, and Lei Huang. "The properties of generalized offset linear canonical Hilbert transform and its applications." International Journal of Wavelets, Multiresolution and Information Processing 15, no. 04 (March 31, 2017): 1750031. http://dx.doi.org/10.1142/s021969131750031x.

Full text
Abstract:
The Hilbert transform is tightly associated with the Fourier transform. As the offset linear canonical transform (OLCT) has been shown to be useful and powerful in signal processing and optics, the concept of generalized Hilbert transform associated with the OLCT has been proposed in the literature. However, some basic results for the generalized Hilbert transform still remain unknown. Therefore, in this paper, theories and properties of the generalized Hilbert transform have been considered. First, we introduce some basic properties of the generalized Hilbert transform. Then, an important theorem for the generalized analytic signal is presented. Subsequently, the generalized Bedrosian theorem for the generalized Hilbert transform is formulated. In addition, a generalized secure single-sideband (SSB) modulation system is also presented. Finally, the simulations are carried out to verify the validity and correctness of the proposed results.
APA, Harvard, Vancouver, ISO, and other styles
19

Dong, Xing-Tang, and Kehe Zhu. "The Fourier and Hilbert transforms Under the Bargmann transform." Complex Variables and Elliptic Equations 63, no. 4 (May 23, 2017): 517–31. http://dx.doi.org/10.1080/17476933.2017.1324430.

Full text
APA, Harvard, Vancouver, ISO, and other styles
20

Marashly, O., and M. Dobroka. "Hilbert transform using a robust geostatistical method." IOP Conference Series: Earth and Environmental Science 942, no. 1 (November 1, 2021): 012029. http://dx.doi.org/10.1088/1755-1315/942/1/012029.

Full text
Abstract:
Abstract In this paper, we introduced an efficient inversion method for Hilbert transform calculation which can be able to eliminate the outlier noise. The Most Frequent Value method (MFV) developed by Steiner merged with an inversion-based Fourier transform to introduce a powerful Fourier transform. The Fourier transform process (IRLS-FT) ability to noise overthrow efficiency and refusal to outliers make it an applicable method in the field of seismic data processing. In the first part of the study, we introduced the Hilbert transform stand on a efficient inversion, after that as an example we obtain the absolute value of the analytical signal which can be used as an attribute gauge. The method depends on a dual inversion, first we obtain the Fourier spectrum of the time signal via inversion, after that, the spectrum calculated via transformation of Hilbert transforms into time range using a efficient inversion. Steiner Weights is used later and calculated using the Iterative Reweighting Least Squares (IRLS) method (efficient inverse Fourier transform). Hermite functions in a series expansion are used to discretize the spectrum of the signal in time. These expansion coefficients are the unknowns in this case. The test procedure was made on a Ricker wavelet signal loaded with Cauchy distribution noise to test the new Hilbert transform. The method shows very good resistance to outlier noises better than the conventional (DFT) method.
APA, Harvard, Vancouver, ISO, and other styles
21

Srivastava, Hari M., Firdous A. Shah, Huzaifa L. Qadri, Waseem Z. Lone, and Musadiq S. Gojree. "Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem." Axioms 12, no. 2 (February 19, 2023): 218. http://dx.doi.org/10.3390/axioms12020218.

Full text
Abstract:
The Hilbert transform is a commonly used linear operator that separates the real and imaginary parts of an analytic signal and is employed in various fields, such as filter design, signal processing, and communication theory. However, it falls short in representing signals in generalized domains. To address this limitation, we propose a novel integral transform, coined the quadratic-phase Hilbert transform. The preliminary study encompasses the formulation of all the fundamental properties of the generalized Hilbert transform. Additionally, we examine the relationship between the quadratic-phase Fourier transform and the proposed transform, and delve into the convolution theorem for the quadratic-phase Hilbert transform. The Bedrosian theorem associated with the quadratic-phase Hilbert transform is explored in detail. The validity and accuracy of the obtained results were verified through simulations.
APA, Harvard, Vancouver, ISO, and other styles
22

Xuan, Zhao Yan, and Miao Ge. "Application of the Hilbert – Huang Transform for Machine Fault Diagnostics." Applied Mechanics and Materials 182-183 (June 2012): 1484–88. http://dx.doi.org/10.4028/www.scientific.net/amm.182-183.1484.

Full text
Abstract:
The vibration signals of the running machine contain non-stationary components. Usually, these non-stationary components contain abundant information on machine faults. In this paper, the Hilbert–Huang transform (HHT) method for the machine fault diagnosis is proposed. The empirical mode decomposition (EMD) method and Hilbert transform are key parts of the Hilbert–Huang transform method. The EMD will generate a collection of intrinsic mode functions (IMF). By applying EMD method and Hilbert transform to the vibration signal, we can get the Hilbert spectrum from which the faults in a running machine can be diagnosed and fault patterns can be identified. The practical vibration signals measured from roller machine with eccentric and friction faults are analysed by the Hilbert–Huang transform and Fourier transform in this paper. Finally, HHT’s performance in rolling machine fault detection is compared with that of the Fourier transform. The comparison results have shown that the HHT is superior than the Fourier transform in machine fault diagnostics. The different failure characteristic frequencies can be distinguished in the component of different orders of IMF, and the time and frequency of failure characteristic frequency appearance can be clearly reflected in the Hilbert spectrum.
APA, Harvard, Vancouver, ISO, and other styles
23

Olkkonen, Hannu, Peitsa Pesola, and Juuso T. Olkkonen. "Computation of Hilbert Transform via Discrete Cosine Transform." Journal of Signal and Information Processing 01, no. 01 (2010): 18–23. http://dx.doi.org/10.4236/jsip.2010.11002.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Zayed, A. I. "Hilbert transform associated with the fractional Fourier transform." IEEE Signal Processing Letters 5, no. 8 (August 1998): 206–8. http://dx.doi.org/10.1109/97.704973.

Full text
APA, Harvard, Vancouver, ISO, and other styles
25

Patel, Sanjay. "Double Hilbert transform in ℝ2." Acta Scientiarum Mathematicarum 77, no. 3-4 (December 2011): 503–11. http://dx.doi.org/10.1007/bf03643931.

Full text
APA, Harvard, Vancouver, ISO, and other styles
26

Çömez, Doǧan. "The modulated ergodic Hilbert transform." Discrete & Continuous Dynamical Systems - S 2, no. 2 (2009): 325–36. http://dx.doi.org/10.3934/dcdss.2009.2.325.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Chen, Jiecheng, Yong Ding, and Dashan Fan. "On a Hyper Hilbert Transform." Chinese Annals of Mathematics 24, no. 04 (October 2003): 475–84. http://dx.doi.org/10.1142/s0252959903000475.

Full text
APA, Harvard, Vancouver, ISO, and other styles
28

Buchkovska, Aneta L., and Stevan PilipoviĆ. "Bilinear Hilbert Transform of Ultradistributions." Integral Transforms and Special Functions 13, no. 3 (January 2002): 211–21. http://dx.doi.org/10.1080/10652460213520.

Full text
APA, Harvard, Vancouver, ISO, and other styles
29

Purves, Steve. "Phase and the Hilbert transform." Leading Edge 33, no. 10 (October 2014): 1164–66. http://dx.doi.org/10.1190/tle33101164.1.

Full text
Abstract:
The concept of phase permeates seismic data processing and signal processing in general, but it can be awkward to understand, and manipulating it directly can lead to surprising results. It doesn't help that the word phase is used to mean a variety of things, depending on whether we refer to the propagating wavelet, the observed wavelet, poststack seismic attributes, or an entire seismic data set. Several publications have discussed the concepts and ambiguities (e.g., Roden and Sepúlveda, 1999 ; Liner, 2002 ; Simm and White, 2002 ).
APA, Harvard, Vancouver, ISO, and other styles
30

Shimobaba, Tomoyoshi, Takashi Kakue, Yota Yamamoto, Ikuo Hoshi, Harutaka Shiomi, Takashi Nishitsuji, Naoki Takada, and Tomoyoshi Ito. "Hologram generation via Hilbert transform." OSA Continuum 3, no. 6 (May 29, 2020): 1498. http://dx.doi.org/10.1364/osac.395003.

Full text
APA, Harvard, Vancouver, ISO, and other styles
31

Brown, J. L. "A Hilbert transform product theorem." Proceedings of the IEEE 74, no. 3 (1986): 520–21. http://dx.doi.org/10.1109/proc.1986.13495.

Full text
APA, Harvard, Vancouver, ISO, and other styles
32

Feldman, Michael. "Hilbert transform in vibration analysis." Mechanical Systems and Signal Processing 25, no. 3 (April 2011): 735–802. http://dx.doi.org/10.1016/j.ymssp.2010.07.018.

Full text
APA, Harvard, Vancouver, ISO, and other styles
33

Kak, Subhash. "The Number Theoretic Hilbert Transform." Circuits, Systems, and Signal Processing 33, no. 8 (March 15, 2014): 2539–48. http://dx.doi.org/10.1007/s00034-014-9759-8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
34

Freeman, Walter. "Hilbert transform for brain waves." Scholarpedia 2, no. 1 (2007): 1338. http://dx.doi.org/10.4249/scholarpedia.1338.

Full text
APA, Harvard, Vancouver, ISO, and other styles
35

Nunes, Jean-Claude, and Amine Nait-Ali. "Hilbert Transform-Based ECG Modeling." Biomedical Engineering 39, no. 3 (May 2005): 133–37. http://dx.doi.org/10.1007/s10527-005-0065-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Arundell, Martin, Bhavik Anil Patel, Mark S. Yeoman, Kim H. Parker, and Danny O’Hare. "Hilbert transform of voltammetric data." Electrochemistry Communications 6, no. 4 (April 2004): 366–72. http://dx.doi.org/10.1016/j.elecom.2004.02.003.

Full text
APA, Harvard, Vancouver, ISO, and other styles
37

McLean, W., and D. Elliott. "On the p-norm of the truncated Hilbert transform." Bulletin of the Australian Mathematical Society 38, no. 3 (December 1988): 413–20. http://dx.doi.org/10.1017/s0004972700027799.

Full text
Abstract:
The p-norm of the Hilbert transform is the same as the p-norm of its truncation to any Lebesgue measurable set with strictly positive measure. This fact follows from two symmetry properties, the joint presence of which is essentially unique to the Hilbert transform. Our result applies, in particular, to the finite Hilbert transform taken over (−1, 1), and to the one-sided Hilbert transform taken over (0, ∞). A related weaker property holds for integral operators with Hardy kernels.
APA, Harvard, Vancouver, ISO, and other styles
38

Singh, O. P., and J. N. Pandey. "The n-Dimensional Hilbert Transform of Distributions, Its Inversion and Applications." Canadian Journal of Mathematics 42, no. 2 (April 1, 1990): 239–58. http://dx.doi.org/10.4153/cjm-1990-014-4.

Full text
Abstract:
Pandey and Chaudhary [13] recently developed the theory of Hilbert transform of Schwartz distribution space (DLp)',p > 1 in one dimension using Parseval's types of relations for one dimensional Hilbert transform [17] and noted that their theory coincides with the corresponding theory for the Hilbert transform developed by Schwartz [16] by using the technique of convolution in one dimension.The corresponding theory for the Hilbert transform in n-dimension is considerably harder and will be successfully accomplished in this paper.
APA, Harvard, Vancouver, ISO, and other styles
39

Nath, Madhwendra, Mehak Saini, and Dr K. K. Saini. "Computation and Analysis of Heart Sound Signals using Hilbert Transform and Hilbert-Huang Transform." International Journal of Security Technology for Smart Device 4, no. 1 (April 30, 2017): 1–10. http://dx.doi.org/10.21742/ijstsd.2017.4.1.01.

Full text
APA, Harvard, Vancouver, ISO, and other styles
40

Saini, Mehak, Madhwendra Nath, Priyanshu Tripathi, Dr Sanju Saini, and Dr Saini K.K. "Computation and Analysis of Heart Sound Signals using Hilbert Transform and Hilbert-Huang Transform." International Journal of Engineering and Technology 9, no. 2 (April 30, 2017): 1462–68. http://dx.doi.org/10.21817/ijet/2017/v9i2/170902219.

Full text
APA, Harvard, Vancouver, ISO, and other styles
41

He, K. F., Z. J. Zhang, and X. J. Li. "Feature Extraction of the Crack AE Signal Using HHT Transform." Applied Mechanics and Materials 340 (July 2013): 441–44. http://dx.doi.org/10.4028/www.scientific.net/amm.340.441.

Full text
Abstract:
The use of Hilbert-Huang transform (Hilbert-Huang transform, HHT) on crack AE signal study, through empirical mode decomposition (empirical mode decomposition, EMD) AE signal is decompose into a number of intrinsic mode functions (Intrinsic mode Function, IMF), Hilbert spectrum and Hilbert marginal spectrum are calculated. The results show that crack depth structure bearing of acoustic emission are detected accurately by the number of acoustic emission events, time and crack the degree from Hilbert spectrum and Hilbert marginal spectrum.
APA, Harvard, Vancouver, ISO, and other styles
42

TODA, HIROSHI, and ZHONG ZHANG. "PERFECT TRANSLATION INVARIANCE WITH A WIDE RANGE OF SHAPES OF HILBERT TRANSFORM PAIRS OF WAVELET BASES." International Journal of Wavelets, Multiresolution and Information Processing 08, no. 04 (July 2010): 501–20. http://dx.doi.org/10.1142/s0219691310003602.

Full text
Abstract:
It is well known that a Hilbert transform pair of wavelet bases improves the lack of translation invariance of the discrete wavelet transform. However, its shapes and improvement are limited by the difficulty in applying the Hilbert transform pair to a discrete signal. In this paper, novel Hilbert transform pairs of wavelet bases, which are based on a Meyer wavelet and have a wide range of shapes, are proposed to create perfect translation invariance, and their calculation method is designed to apply these wavelet bases to any discrete signal. Therefore, perfect translation invariance is achieved with a wide range of shapes of the Hilbert transform pairs of wavelet bases.
APA, Harvard, Vancouver, ISO, and other styles
43

Pandey, J. N., and O. P. Singh. "On the p-norm of the truncated n-dimensional Hilbert transform." Bulletin of the Australian Mathematical Society 43, no. 2 (April 1991): 241–50. http://dx.doi.org/10.1017/s0004972700029002.

Full text
Abstract:
It is shown that a bounded linear operator T from Lρ(Rn) to itself which commutes both with translations and dilatations is a finite linear combination of Hilbert-type transforms. Using this we show that the ρ-norm of the Hilbert transform is the same as the ρ-norm of its truncation to any Lebesgue measurable subset of Rn with non-zero measure.
APA, Harvard, Vancouver, ISO, and other styles
44

Magalas, L. B., and M. Majewski. "Hilbert-Twin – A Novel Hilbert Transform-Based Method To Compute Envelope Of Free Decaying Oscillations Embedded In Noise, And The Logarithmic Decrement In High-Resolution Mechanical Spectroscopy HRMS." Archives of Metallurgy and Materials 60, no. 2 (June 1, 2015): 1091–98. http://dx.doi.org/10.1515/amm-2015-0265.

Full text
Abstract:
Abstract In this work, we present a novel Hilbert-twin method to compute an envelope and the logarithmic decrement, δ, from exponentially damped time-invariant harmonic strain signals embedded in noise. The results obtained from five computing methods: (1) the parametric OMI (Optimization in Multiple Intervals) method, two interpolated discrete Fourier transform-based (IpDFT) methods: (2) the Yoshida-Magalas (YM) method and (3) the classic Yoshida (Y) method, (4) the novel Hilbert-twin (H-twin) method based on the Hilbert transform, and (5) the conventional Hilbert transform (HT) method are analyzed and compared. The fundamental feature of the Hilbert-twin method is the efficient elimination of intrinsic asymmetrical oscillations of the envelope, aHT (t), obtained from the discrete Hilbert transform of analyzed signals. Excellent performance in estimation of the logarithmic decrement from the Hilbert-twin method is comparable to that of the OMI and YM for the low- and high-damping levels. The Hilbert-twin method proved to be robust and effective in computing the logarithmic decrement and the resonant frequency of exponentially damped free decaying signals embedded in experimental noise. The Hilbert-twin method is also appropriate to detect nonlinearities in mechanical loss measurements of metals and alloys.
APA, Harvard, Vancouver, ISO, and other styles
45

Li, Zhi Bin, Bao Xing Wu, and Yun Hui Xu. "The Applied Research of the Hilbert-Huang Transform and Wavelet Transform in the Fault Location of Transmission Line." Applied Mechanics and Materials 291-294 (February 2013): 2432–36. http://dx.doi.org/10.4028/www.scientific.net/amm.291-294.2432.

Full text
Abstract:
In the process of the Hilbert-Huang transform, empirical mode decomposition (EMD) may result in the end effect and modal aliasing when processing data, so proposing Ensemble Empirical Mode Decomposition (EEMD) instead of EMD, and assessing the accuracy of the two decomposition processes according to the total energy of the signal before and after the decomposition. Take a comparison between the Hilbert-Huang transform and the wavelet transform, the localization showed that the Hilbert-Huang transform is better than wavelet transform in the fault location of transmission line.
APA, Harvard, Vancouver, ISO, and other styles
46

Shi, Zuoshunhua, and Dunyan Yan. "Criterion onLp1×Lp2→Lq-Boundedness for Oscillatory Bilinear Hilbert Transform." Abstract and Applied Analysis 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/712051.

Full text
Abstract:
We investigate the bilinear Hilbert transform with oscillatory factors and the truncated bilinear Hilbert transform. The main result is that theLp1×Lp2→Lq-boundedness of the two operators is equivalent with1≤p1,p2<∞, and1/q=1/p1+1/p2. In addition, we also discuss the boundedness of a variant operator of bilinear Hilbert transform with a nontrivial polynomial phase.
APA, Harvard, Vancouver, ISO, and other styles
47

Brackx, Fred, Bram De Knock, and Hennie De Schepper. "Generalized multidimensional Hilbert transforms in Clifford analysis." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–19. http://dx.doi.org/10.1155/ijmms/2006/98145.

Full text
Abstract:
Two specific generalizations of the multidimensional Hilbert transform in Clifford analysis are constructed. It is shown that though in each of these generalizations some traditional properties of the Hilbert transform are inevitably lost, new bounded singular operators emerge on Hilbert or Sobolev spaces ofL2-functions.
APA, Harvard, Vancouver, ISO, and other styles
48

Šahović, A., F. Vajzović, and S. Peco. "Continuity conditions for the Hilbert transform on quasi-Hilbert spaces." Sarajevo Journal of Mathematics 10, no. 1 (June 2014): 111–20. http://dx.doi.org/10.5644/sjm.10.1.14.

Full text
APA, Harvard, Vancouver, ISO, and other styles
49

YIN Limin, JIANG Cong, JIANG Cheng, and HU Yuanbo. "ECG, Bi-Polar, Discrete Wavelet Transform, Hilbert-Huang Transform." Journal of Convergence Information Technology 7, no. 18 (October 31, 2012): 332–38. http://dx.doi.org/10.4156/jcit.vol7.issue18.40.

Full text
APA, Harvard, Vancouver, ISO, and other styles
50

Pei, S. C., and S. B. Jaw. "Computation of discrete Hilbert transform through fast Hartley transform." IEEE Transactions on Circuits and Systems 36, no. 9 (1989): 1251–52. http://dx.doi.org/10.1109/31.34675.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Hilbert transform' for other source types:
Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography