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Coherent Continuous Wave Terahertz Spectroscopy Using Hilbert Transform
Journal of Infrared, Millimeter and Terahertz Waves, 2018Coherent continuous wave (CW) terahertz spectroscopy is an extremely valuable technique that allows for the interrogation of systems that exhibit narrow resonances in the terahertz (THz) frequency range, such as high-quality (high-Q) THz whispering ...
D. Vogt, M. Erkintalo, R. Leonhardt
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Precision engineering, 2021
Grinding is a finishing operation performed to obtain the desired finish on the component. Wheel wear is one of the primary constraints in achieving the desired productivity in grinding.
Supriyo Mahata, Piyush Shakya, N. Babu
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Grinding is a finishing operation performed to obtain the desired finish on the component. Wheel wear is one of the primary constraints in achieving the desired productivity in grinding.
Supriyo Mahata, Piyush Shakya, N. Babu
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Hilbert transform, spectral filters and option pricing
Annals of Operations Research, 2017We show how spectral filters can improve the convergence of numerical schemes which use discrete Hilbert transforms based on a sinc function expansion, and thus ultimately on the fast Fourier transform.
Carolyn E. Phelan +3 more
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2023
AbstractThis chapter emphasizes the Hilbert-space properties of these operators. In particular, we study the boundedness, norm, adjoint, and spectral properties of Hilbert transforms and how these properties relate to harmonic conjugation and Riemann–Hilbert problems.
Stephan Ramon Garcia +2 more
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AbstractThis chapter emphasizes the Hilbert-space properties of these operators. In particular, we study the boundedness, norm, adjoint, and spectral properties of Hilbert transforms and how these properties relate to harmonic conjugation and Riemann–Hilbert problems.
Stephan Ramon Garcia +2 more
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2009
The Hilbert transform has many uses, including solving problems in aerodynamics, condensed matter physics, optics, fluids, and engineering. Written in a style that will suit a wide audience (including the physical sciences), this book will become the reference of choice on the topic, whatever the subject background of the reader.
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The Hilbert transform has many uses, including solving problems in aerodynamics, condensed matter physics, optics, fluids, and engineering. Written in a style that will suit a wide audience (including the physical sciences), this book will become the reference of choice on the topic, whatever the subject background of the reader.
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Hilbert transform of a periodically non-stationary random signal: Low-frequency modulation
Digit. Signal Process., 2021Ihor Javorskyj +3 more
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2010
Publisher Summary This chapter focuses on a generalized way of treating narrow-banded processes from mathematical and physical points of view using the Hilbert transform. The methods described are not limited to narrow-banded processes but work perfectly well for broad-banded spectra as well. When working with theoretical or experimental wave trains,
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Publisher Summary This chapter focuses on a generalized way of treating narrow-banded processes from mathematical and physical points of view using the Hilbert transform. The methods described are not limited to narrow-banded processes but work perfectly well for broad-banded spectra as well. When working with theoretical or experimental wave trains,
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IEEE Transactions on Audio and Electroacoustics, 1970
The Hilbert transform H\{f(t)\} of a given waveform f(t) is defined with the convolution H{\f(t)} = f(t) \ast (1/\pit) . It is well known that the second type of Hilbert transform K_{0}{\f(x)\}=\phi(x) \ast (1/2\pi)\cot\frac{1}{2}x exists for the transformed function f(tg\frac{1}{2}x)= \phi(x) .
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The Hilbert transform H\{f(t)\} of a given waveform f(t) is defined with the convolution H{\f(t)} = f(t) \ast (1/\pit) . It is well known that the second type of Hilbert transform K_{0}{\f(x)\}=\phi(x) \ast (1/2\pi)\cot\frac{1}{2}x exists for the transformed function f(tg\frac{1}{2}x)= \phi(x) .
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1999
In diesem Kapitel wollen wir uns mit einer Transformation befassen, die in der Modulationstheorie eine grose Rolle spielt: durch geeignete Erganzung des ursprunglichen Signals x(t) zu einem sogenannten analytischen Signal z(t) = x(t) – jy(t) erhalt man eine komplexe Zeitfunktion mit einseitigem Spektrum. Dies geschieht dadurch, das man y(t) als Hilbert-
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In diesem Kapitel wollen wir uns mit einer Transformation befassen, die in der Modulationstheorie eine grose Rolle spielt: durch geeignete Erganzung des ursprunglichen Signals x(t) zu einem sogenannten analytischen Signal z(t) = x(t) – jy(t) erhalt man eine komplexe Zeitfunktion mit einseitigem Spektrum. Dies geschieht dadurch, das man y(t) als Hilbert-
openaire +1 more source