Browsing by Keywords "Mathematical operators"
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Digital computation of the fractional Fourier transform
(Institute of Electrical and Electronics Engineers, 199609)An algorithm for efficient and accurate computation of the fractional Fourier transform is given. For signals with timebandwidth product N, the presented algorithm computes the fractional transform in O(NlogN) time. A ... 
Effects of linear filter on stability and performance of humanintheloop model reference adaptive control architectures
(American Society of Mechanical Engineers, 2017)Model reference adaptive control (MRAC) can effectively handle various challenges of the real world control problems including exogenous disturbances, system uncertainties, and degraded modes of operations. In humanintheloop ... 
EFIE and MFIE, why the difference?
(2008)EFIE (electric field integral equation) suffers from internal resonance, and the remedy is to use MFIE (magnetic field integral equation) to come up with a CFIE (combined field integral equation) to remove the internal ... 
The Fractional Fourier transform and harmonic oscillation
(Springer, 2002)The athorder fractional Fourier transform is a generalization of the ordinary Fourier transform such that the zerothorder fractional Fourier transform operation is equal to the identity operation and the firstorder ... 
Improving the accuracy of the MFIE with the choice of basis functions
(2004)The accuracy of the magneticfield integral equation (MFIE) for the Method of Moments (MOM) and fastmultiplemethod (FMM) solutions of the electromagnetic scattering problems modeled by abitrary planar triangulations is ... 
Interpolating between periodicity and discreteness through the fractional Fourier transform
(IEEE, 2006)Periodicity and discreteness are Fourier duals in the same sense as operators such as coordinate multiplication and differentiation, and translation and phase shift. The fractional Fourier transform allows interpolation ... 
Morphological subband decomposition structure using GF(N) arithmetic
(IEEE, Los Alamitos, CA, United States, 1996)Linear filter banks with critical subsampling and perfect reconstruction (PR) property have received much interest and found numerous applications in signal and image processing. Recently, nonlinear filter bank structures ... 
New characterizations of ℓ1 solutions to overdetermined systems of linear equations
(Elsevier, 1994)New characterizations of the ℓ1 solutions to overdetermined system of linear equations are given. The first is a polyhedral characterization of the solution set in terms of a special sign vector using a simple property of ... 
Objectoriented query language facilitating construction of new objects
(Elsevier, 1993)In objectoriented database systems, messages can be used to manipulate the database; however, a query language is still a required component of any kind of database system. In the paper, we describe a query language for ... 
On the analyticity of functions approximated by their qBernstein polynomials when q > 1
(2010)Since in the case q > 1 the qBernstein polynomials Bn,q are not positive linear operators on C[0, 1], the investigation of their convergence properties for q > 1 turns out to be much harder than the one for 0 < ... 
On the classification of Darboux integrable chains
(American Institute of Physics, 2008)We study differentialdifference equation (d/dx) t (n+1,x) =f (t (n,x),t (n+1,x), (d/dx) t (n,x)) with unknown t (n,x) depending on continuous and discrete variables x and n. Equation of such kind is called Darboux integrable, ... 
Operational approach in the weakfield measurement of polarization fluctuations
(American Physical Society, 1999)The operational approach to the measurement of phase studied by Noh, Fougerès, and Mandel [Phys. Rev. A 45, 424 (1992); 46, 2840 (1992); Phys. Rev. Lett. 71, 2579 (1993); Phys. Rev. A 47, 4535 (1993)] is applied to the ... 
Proper orthogonal decomposition for reduced order modeling: 2D heat flow
(2003)Modeling issues of infinite dimensional systems is studied in this paper. Although the modeling problem has been solved to some extent, use of decomposition techniques still pose several difficulties. A prime one of this ... 
Quantum stereographic projection and the homographic oscillator
(American Physical Society, 1996)The quantum deformation created by the stenographic mapping from S2 to C is studied. It is shown that the resulting algebra is locally isomorphic to su(2) and is an unconventional deformation of which the undeformed limit ... 
Query model for objectoriented databases
(Publ by IEEE, Los Alamitos, CA, United States, 1993)A query language should be a part of any database system. While the relational model has a well defined underlying query model, the objectoriented database systems have been criticized for not having such a query model. ... 
Radar crosssection study of cylindrical cavitybacked apertures with outer or inner material coating: the case of Epolarization
(IEEE, 1993)A dualseriesbased solution is obtained for the scattering of an Epolarized plane wave from a cavitybacked aperture which is formed by a slitted infinite circular cylinder coated with absorbing material. The material ... 
Signal recovery from partial fractional fourier transform information
(2004)The fractional Fourier transform has found many applications in signal and image processing and optics. An iterative algorithm for signal recovery from partial fractional Fourier transform information is presented. The ... 
Teager energy based feature parameters for robust speech recognition in car noise
(IEEE, Piscataway, NJ, United States, 1999)In this paper, a new set of speech feature parameters based on multirate signal processing and the Teager Energy Operator is developed. The speech signal is first divided into nonuniform subbands in melscale using a ... 
Vortex lattice of a BoseEinstein condensate in a rotating anisotropic trap
(American Physical Society, 2004)The behavior of BoseEinstein condensates (BEC) with a vortex lattice in a rotating anisotropic trap was studied. The singleparticle wave functions for a rotating anisotropy trap were found by exactly diagonalizing the ...