A generalized ISAR approach to solve the SAR problem for ship target image reconstruction is considered. A new definition of three dimensional (3-D) SAR scenario is suggested. An analytical geometrical approach to define apparent Yaw, Pitch and Roll angle of the ship target at sea is implemented. The target is presented as an assembly of point scatterers. Mathematical expressions to calculate r...

A new approach to the algebra Gτ of temperate nonlinear generalized functions is proposed, in which Gτ is based on the space OM endowed with is natural topology in contrary to previous constructions. Thus, this construction fits perfectly in the general scheme of construction of Colombeau type algebras and reveals better properties of Gτ . This is illustrated by the natural introduction of a re...

Sparse recovery aims to reconstruct signals that are sparse in a linear transform domain from a heavily underdetermined set of measurements. The success of sparse recovery relies critically on the knowledge of transform domains that give compressible representations of the signal of interest. Here we consider twoand three-dimensional images, and investigate various multi-dimensional transforms ...

Abstract. In this paper we propose a Bayesian approach to the ill-posed inverse problem of Fourier synthesis (FS) which consists in reconstructing a function from partial knowledge of its Fourier Transform (FT) with application in SAR (Synthetic Aperture Radar) imaging. The function to be estimated represents an image of the observed scene. Considering this observed scene is mainly composed of ...

We formulate and derive a generalization of an orthogonal rationalfunction basis for spectral expansions over the infinite or semi-infinite interval. The original functions, first presented by Wiener, are a mapping and weighting of the Fourier basis to the infinite interval. By identifying the Fourier series as a biorthogonal composition of Jacobi polynomials/functions, we are able to define ge...

Abstract The paper deals with approximations of periodic functions that play a significant role in harmonic analysis. approach revisits the trigonometric polynomials, seen as combinations functions, and proposes to extend class models combined wider functions. key here is use structured have low complexity, suitable functional representation adapted parametrizations for approximation. Such enab...

Abstract In this paper, a two-dimensional generalized weighted fractional Fourier transform (2DGWFRFT) and constellation scrambling (CS)-based secure spatial modulation (SM) scheme, called 2DGWFRFT-CS-SM, is proposed to enhance the physical layer security (PLS) of wireless communication system. The scheme executed by two steps. first step, 2DGWFRFT implemented as kernel for PLS provision. secon...