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Atomic Decomposition of Financial Data

Computational Economics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The roaming atom pathway in formaldehyde decomposition

The Journal of Chemical Physics, 2006
We present a detailed experimental and theoretical investigation of formaldehyde photodissociation to H2 and CO following excitation to the 2141 and 2143 transitions in S1. The CO velocity distributions were obtained using dc slice imaging of single CO rotational states (v=0, jCO=5–45).
Sridhar A, Lahankar   +7 more
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Atomic decomposition with evolutionary pursuit

Digital Signal Processing, 2003
Abstract An atomic decomposition of a signal is an expression of the signal as a superposition of a parametric collection of waveforms. Basis expansions, especially orthogonal cases such as Fourier and wavelet bases, are the most commonly used atomic models.
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A four-parameter atomic decomposition of chirplets

IEEE Transactions on Signal Processing, 1999
Summary: A new four-parameter atomic decomposition of chirplets is developed for compact and precise representation of signals with chirp components. The four-parameter chirplet atom is obtained from the unit Gaussian function by successive applications of scaling, fractional Fourier transform (FRFT), and time-shift and frequency-shift operators.
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Atomic decomposition of real JBW-triples

The Quarterly Journal of Mathematics, 2001
A real \(\text{JB}^*\)-triple is a closed real subtriple of a (complex) \(\text{JB}^*\)-triple, and a real \(\text{JBW}^*\)-triple is a real \(\text{JB}^*\)-triple the canonical hermitification of which is a (complex) \(\text{JBW}^*\)-triple. In the complex case, \(\text{JBW}^*\)-triples split into the direct sum of two \(w^*\)-closed ideals, one of ...
Peralta, A., Stachó, L. L.
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Uncertainty principles and ideal atomic decomposition

IEEE Transactions on Information Theory, 2001
Summary: Suppose a discrete-time signal \(S(t)\), \(0\leq t< N\), is a superposition of atoms taken from a combined time-frequency dictionary made of spike sequences \(1_{\{t=\tau\}}\) and sinusoids \(\exp(2\pi iwt/N)/\sqrt{N}\). Can one recover, from knowledge of \(S\) alone, the precise collection of atoms making up \(S\)? Because every discrete-time
David L. Donoho, Xiaoming Huo
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Atomic decompositions of Banach-spacevalued martingales

Science in China Series A: Mathematics, 1999
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Liu, Peide, Hou, Youliang
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Atomic Decomposition for ISAR Imaging

2006 IEEE Conference on Radar, 2006
We explore the capabilities of atomic decomposition (AD) for ISAR imaging. On the contrary to our previous work with AD where our research was focused on radar signal detection and maximization of sensitivity, the main concern in ISAR imaging based on AD is to obtain focused images, target feature extraction and low computational burden.
O.A. Yeste-Ojeda, J. Grajal
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Atomic decomposition for radar applications

IEEE Transactions on Aerospace and Electronic Systems, 2008
In this paper, we explore the promising capabilities of atomic decomposition (AD) for radar-related applications from a practical point of view. Some enhancements and new approaches are proposed herein, and their implementations are fully detailed. We apply the AD algorithms in two different environments, for signal detection where high sensitivity is ...
O.A. Yeste-Ojeda   +2 more
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Atomic decomposition of vector measures

Siberian Mathematical Journal, 1989
Let F be a K-space [cf. \textit{L. V. Kantorovich, B. Z. Vulikh} and \textit{A. G. Pinsker}, Usp. Mat. Nauk 6, Nr. 3(43), 31-98 (1951; Zbl 0043.332); English translation in Amer. Math. Soc., Transl., II. Ser. 27, 51-124 (1963; Zbl 0125.341)]. The paper deals with an atomic structure of the set F-bva(\({\mathcal A},Y)\) of measures (finitely additive ...
Kusraev, A. G., Malyugin, S. A.
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