WebNov 9, 2024 · The duality principle for group representations developed in Dutkay et al. (J Funct Anal 257:1133–1143, 2009), Han and Larson (Bull Lond Math Soc 40:685–695, 2008) exhibits a fact that the well-known duality principle in Gabor analysis is not an isolated incident but a more general phenomenon residing in the context of group representation … WebGABOR REPRESENTATIONS of information in vision and perhaps other sensory modalities. This aspect will be our concern here. First we review Gabor’s Uncertainty Principle, which defines limits on the representation of any signal. Next we discuss the representation of signals in terms of Gabor elementary functions (Gaussian-modulated …
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WebJun 1, 2013 · 3. DISCRETE GABOR REPRESENTATION IN AN OVERSAMPLING SCHEME FOR ISAR APPLICATION 3.1. Discrete Gabor Representation of a Signal in the Oversampling Scheme The Gabor representation and its numerical implementation have been extensively investigated [26-30] since Gabor suggested the signal expression with … WebA discrete phase-space Gaussian beam summation representation for electromagnetic radiation from a planar source is presented. The formulation is based on the theory of … pumpkin carving with braces
Spatial Filter - Photon Engineering Knowledge Base
WebMar 2, 2015 · can be traced easily in a complicated environment. However, the method usually proposed to discrete fields, the so-called Gabor representation, has been shown numerically unstable [3, 4]. In [5] the concept of field tracing is introduced that is the generalization of ray tracing and enables electromagnetic system modelling. WebOct 10, 2006 · Phase-space procedure based on coherent state representation is proposed for investigation of reflection and transmission of light at a curved dielectric boundary. Numerical simulations of beams... WebNov 1, 1990 · The Gabor expansion comprises a window function h(t) whose effective width is T1, a shift parameter Tcontrolling the window's discrete shift along tand a … pumpkin cat carving designs