Browsing by Keywords "Mathematical transformations"
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Canonicalcovariant Wigner function in polar form
(OSA  The Optical Society, 2000)The twodimensional Wigner function was investigated in polar canonical coordinates. The covariance properties under the action of affine canonical transformations were derived. The polar canonical phasespace representations ... 
Comparative study of acceleration techniques for integrals and series in electromagnetic problems
(IEEE, Piscataway, NJ, United States, 1995)Most of the electromagnetic problems can be reduced down to either integrating oscillatory integrals or summing up complex series. However, limits of the integrals and the series usually extend to infinity. In addition, ... 
Computer vision based method for realtime fire and flame detection
(Elsevier BV, 20060101)This paper proposes a novel method to detect fire and/or flames in realtime by processing the video data generated by an ordinary camera monitoring a scene. In addition to ordinary motion and color clues, flame and fire ... 
Derivation of ClosedForm Green’s Functions for a General Microstrip Geometry
(1992)The derivation of the closedform spatial domain Green’s functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and a superstate, whose thicknesses can be arbitrary. The ... 
Efficient computation of surface fields excited on a dielectriccoated circular cylinder
(IEEE, 200010)An efficient method to evaluate the surface fields excited on an electrically large dielectriccoated circular cylinder is presented. The efficiency of the method results from the circumferentially propagating representation ... 
Efficient fast hartley transform algorithms for hypercubeconnected multicomputers
(IEEE, 1995)Although fast Hartley transform (FHT) provides efficient spectral analysis of real discrete signals, the literature that addresses the parallelization of FHT is extremely rare. FHT is a real transformation and does not ... 
Efficient use of closedform Green's functions for threedimensional problems involving multilayered media
(Institute of Electrical and Electronics Engineers, 1994)With the use of casting the spatial domain Green's functions into closed forms approach, it was demonstrated that the computational efficiency of the method of moments (MoM) for the solution of the mixed potential integral ... 
Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the spacebandwidth product
(Optical Society of America, 20100730)Linear canonical transforms (LCTs) form a threeparameter family of integral transforms with wide application in optics. We show that LCT domains correspond to scaled fractional Fourier domains and thus to scaled oblique ... 
Fast and accurate algorithm for the computation of complex linear canonical transforms
(Optical Society of America, 20100805)A fast and accurate algorithm is developed for the numerical computation of the family of complex linear canonical transforms (CLCTs), which represent the inputoutput relationship of complex quadraticphase systems. ... 
Fast and accurate algorithms for quadratic phase integrals in optics and signal processing
(SPIE, 2011)The class of twodimensional nonseparable linear canonical transforms is the most general family of linear canonical transforms, which are important in both signal/image processing and optics. Application areas include ... 
Fast and accurate linear canonical transform algorithms
(Institute of Electrical and Electronics Engineers Inc., 2015)Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform ... 
An inventory problem with two randomly available suppliers
(Institute for Operations Research and the Management Sciences, 1997)This paper considers a stochastic inventory model in which supply availability is subject to random fluctuations that may arise due to machine breakdowns, strikes, embargoes, etc. It is assumed that the inventory manager ... 
Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems
(IEEE Computer Society, 2014)We study the degrees of freedom of optical systems and signals based on spacefrequency (phasespace) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the spacefrequency ... 
Model based anticontrol of chaos
(Institute of Electrical and Electronics Engineers Inc., 2003)We will consider model based anticontrol of chaotic systems. We consider both continuous and discrete time cases. We first assume that the systems to be controlled are linear and time invariant. Under controllability ... 
A modelbased scheme for anticontrol of some chaotic systems
(World Scientific Publishing, 2003)We consider a modelbased approach for the anticontrol of some continuous time systems. We assume the existence of a chaotic model in an appropriate form. By using a suitable input, we match the dynamics of the controlled ... 
Motioncompensated prediction based algorithm for medical image sequence compression
(Elsevier BV, 199509)A method for irreversible compression of medical image sequences is described. The method relies on discrete cosine transform and motioncompensated prediction to reduce intra and interframe redundancies in medical image ... 
Multipleresampling receiver design for OFDM over Dopplerdistorted underwater acoustic channels
(2013)In this paper, we focus on orthogonal frequencydivision multiplexing (OFDM) receiver designs for underwater acoustic (UWA) channels with userand/or pathspecific Doppler scaling distortions. The scenario is motivated by ... 
A multiresolution nonrectangular wavelet representation for twodimensional signals
(Elsevier, 1993)In this paper, a new multiresolution wavelet representation for twodimensional signals is described. This wavelet representation is based on a nonrectangular decomposition of the frequency domain. The decomposition can ... 
Nonlocal, noncommutative picture in quantum mechanics and distinguished continuous canonical maps
(IOP Science, 2002)It is shown that continuous classical nonlinear canonical (Poisson) maps have a distinguished role in quantum mechanics. They act unitarily on the quantum phase space and generate hindependent quantum nonlinear canonical ... 
Optimal shorttime Fourier transform for monocomponent signals
(IEEE, 2004)New methods of improving the shorttime Fourier transform representation of signals have recently emerged. These methods use linear canonical transforms to bring the signal into a minimal timebandwidth product form. Here ...