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Surface-based image reconstruction optimization for high-density functional near-infrared spectroscopy. [PDF]
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A Unified Characterization Theorem in White Noise Theory
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2003We revisit a CKS-space from the viewpoint of standard setup of white noise calculus and prove a general characterization theorem for white noise operators from a CKS-space into another CKS-space. The usual characterizations so far obtained for white noise distributions, white noise test functions and white noise operators are all consequences of the ...
Ji, Un Cig, Obata, Nobuaki
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Unified Theory of Oscillator Phase Noise I: White Noise
IEEE Transactions on Microwave Theory and Techniques, 2013The spectral purity of every oscillator system is limited by phase noise. In this work, we extend the techniques previously used to analyze phase noise in lasers to develop an intuitive, yet powerful description of phase noise in an electromagnetic oscillator for the case when the oscillating field is sinusoidal and perturbed by white noise.
William Loh +3 more
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CHARACTERIZATION THEOREMS IN GEGENBAUER WHITE NOISE THEORY
Quantum Probability and Related Topics, 2008The main purpose of this paper is to derive a general structure of Gegenbauer white noise analysis as a counterpart class of non-Levy white noise. Namely, we consider, on an appropriate space of distributions, N ′ β , a Gegenbauer white noise measure, Gβ , and construct a nuclear triple (Nβ) ⊂ L2(N ′ β ,Gβ) ⊂ (Nβ)∗ of test and generalized functions.
A. BARHOUMI, A. RIAHI, H. OUERDIANE
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White-Noise Representations in Stochastic Realization Theory
SIAM Journal on Control and Optimization, 1993Summary: It is proved that any random sequence can be exhibited as the output of a stochastic dynamical system driven by white noise. Further refinements are obtained for Markov, stationary, and ergodic sequences. This settles some open problems in stochastic realization theory posed by \textit{J. C. Willems} and \textit{J. H.
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External non-white noise: Theory and experiment
Physica A: Statistical Mechanics and its Applications, 1982Abstract We consider a system under the influence of an external gaussian noise with a flat spectrum and finite cut-off frequency. The stationery properties of the system are studied as a function of the correlation time of the noise. Theoretical predictions based on an expansion in powers of the correlation time are corroborated by experimental ...
J.M. Sancho +3 more
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White Noise Stochastic BVP’s and Cimmino’s Theory
2001The analysis of the Molodensky problem in spherical approximation can be reduced to the simple Dirichlet problem. If the boundary data are noisy (white noise), it is requested to explain what is the meaning of the solution of a B.V.P. with data of this kind.
SANSO', FERNANDO, VENUTI, GIOVANNA
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