Results 231 to 240 of about 390,720 (278)

Invariant Gauss-Gauss detection

IEEE Transactions on Information Theory, 1973
The detection of information-bearing Gaussian processes immersed in additive white Gaussian noise (WGN) is an important problem that arises in many signal processing applications. When the level of the WGN is unknown, classical approaches to the problem fail.
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Generalized Gauss?Radau and Gauss?Lobatto Formulae

BIT Numerical Mathematics, 2004
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Helmholtz–Gauss waves

Journal of the Optical Society of America A, 2005
A detailed study of the propagation of an arbitrary nondiffracting beam whose disturbance in the plane z = 0 is modulated by a Gaussian envelope is presented. We call such a field a Helmholtz-Gauss (HzG) beam. A simple closed-form expression for the paraxial propagation of the HzG beams is written as the product of three factors: a complex amplitude ...
Julio C, Gutiérrez-Vega, Miguel A, Bandres   +1 more
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Compressive sensing for Gauss-Gauss detection

2011 IEEE International Conference on Systems, Man, and Cybernetics, 2011
The recently introduced theory of compressed sensing (CS) enables the reconstruction of sparse signals from a small set of linear measurements. If properly chosen, the number of measurements can be much smaller than the number of Nyquist rate samples. However, despite the intense focus on the reconstruction of signals, many signal processing problems ...
J. Derek Tucker, Nick Klausner
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Symmetric Gauss–Lobatto and Modified Anti-Gauss Rules

BIT Numerical Mathematics, 2003
Let \(\mu (t)\) be a nondecreasing function in the finite interval \([-a,a]\) and consider the integral \[ {\mathcal T}f =\int _{-a}^a f(t) \,d\mu (t), \] and the approximations given by the \(m\)-point Gauss quadrature rule \[ \mathcal G _mf =\sum _{j=1}^m f(t_j)w_j^2, \] and by the \(m+1\)-point Gauss-Lobatto quadrature rule \[ \widehat {\mathcal G ...
Calvetti, Daniela, Reichel, Lothar
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On gauss spaces

Annali di Matematica Pura ed Applicata, 1969
Theorem 1 gives a characterization of the Gauss spaces. As a consequence of this theorem we construct some examples and counter-examples of such spaces. Finally, we define and sludy some properties of the canonical standard family of coverings, Gauss subspace, Guss product space, etc.
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Relationship between elegant Laguerre–Gauss and Bessel–Gauss beams

Journal of the Optical Society of America A, 2001
We show that the elegant Laguerre-Gauss light beams of high radial order n are asymptotically equal to Bessel-Gauss light beams. The Bessel-Gauss beam equivalent to each elegant Laguerre-Gauss beam is found and shown to have almost identical propagation factors M2.
Porras M. A, Borghi R, SANTARSIERO, Massimo   +2 more
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Laguerre–Gauss and Bessel–Gauss beams in uniaxial crystals

Journal of the Optical Society of America A, 2002
A simple correspondence between the paraxial propagation formulas along the optical axis of a uniaxial crystal and inside an isotropic medium is found in the case of beams with linearly polarized circularly symmetric boundary distributions. The electric fields of the ordinary and the extraordinary beams are related to the corresponding expressions in a
CINCOTTI, GABRIELLA, A. CIATTONI, C. PALMA   +2 more
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Nonparaxial Bessel–Gauss beams

Journal of the Optical Society of America A, 2001
We study the nonparaxial propagation of Bessel-Gauss beams of any order. Closed-form expressions of all corrections to be added to the solution that is pertinent to the corresponding paraxial problem are found. Such corrections are expressed in terms of two families of polynomials, defined through recurrence rules, that encompass the Laguerre-Gauss ...
BORGHI, Riccardo, Santarsiero M, Porras MA   +2 more
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Propagation and focusing of Bessel–Gauss, generalized Bessel–Gauss, and modified Bessel–Gauss beams

Journal of the Optical Society of America A, 2001
The propagation of Bessel-Gauss, generalized Bessel-Gauss, and modified Bessel-Gauss beams, for which the exact form of the optical fields is known, is analyzed according to the approximate theory developed previously by the authors [J. Opt. Soc. Am. 17, 1021 (2000)].
R M, Herman, T A, Wiggins
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