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Atomic Decomposition of Financial Data
Computational Economics, 1998zbMATH 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, 2006We 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, 2003Abstract 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, 1999Summary: 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, 2001A 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, 2001Summary: 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, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Peide, Hou, Youliang
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Atomic Decomposition for ISAR Imaging
2006 IEEE Conference on Radar, 2006We 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, 2008In 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, 1989Let 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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