Browsing by Keywords "Linear system of equations"
Now showing items 1-5 of 5
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Calculation of the scalar diffraction field from curved surfaces by decomposing the three-dimensional field into a sum of Gaussian beams
(Optical Society of America, 2013)We present a local Gaussian beam decomposition method for calculating the scalar diffraction field due to a twodimensional field specified on a curved surface. We write the three-dimensional field as a sum of Gaussian beams ... -
Linear algebraic analysis of fractional Fourier domain interpolation
(IEEE, 2009)In this work, we present a novel linear algebraic approach to certain signal interpolation problems involving the fractional Fourier transform. These problems arise in wave propagation, but the proposed approach to these ... -
A novel technique for a linear system of equations applied to channel equalization
(IEEE, 2009)In many inverse problems of signal processing the problem reduces to a linear system of equations. Accurate and robust estimation of the solution with errors in both measurement vector and coefficient matrix is a challenging ... -
Sparse solutions to an underdetermined system of linear equations via penalized Huber loss
(Springer, 2020)We investigate the computation of a sparse solution to an underdetermined system of linear equations using the Huber loss function as a proxy for the 1-norm and a quadratic error term à la Lasso. The approach is termed ... -
Structured least squares with bounded data uncertainties
(IEEE, 2009)In many signal processing applications the core problem reduces to a linear system of equations. Coefficient matrix uncertainties create a significant challenge in obtaining reliable solutions. In this paper, we present a ...
