Abstract: Data-driven process monitoring has benefited from the development and application of kernel transformations, especially when various types of nonlinearity exist in the data. However, when ...

Abstract: An approach to discrete convolution is presented which obviates the zero assumption. The method is structurally similar to the method of J.P. Burg (Stanford Univ., May 1975), which estimates ...

The structure of proteins involves 3D geometry of amino acid coordinates and 1D sequence of peptide chains. The 3D structure exhibits irregularity because amino acids are distributed unevenly in ...

This code example demonstrates the convolution theorem with the use of the Complex Fast Fourier Transform (FFT), complex-by-complex multiplication, and support functions, which are part of the ...

Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa. where , and are real numbers. This class includes the well-known Lax [1], Sawada-Kotera (SK) [2], ...

Convolution has a significant impact on many scientific disciplines, ranging from probability theory and harmonic analysis to information theory. Here, we introduce a framework to study quantum ...

A new computational method for solving the fifth order Korteweg-de Vries (fKdV) equation is proposed. The nonlinear partial differential equation is discretized in space using the discrete singular ...