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eess.SP2021★ 24 cited
The Generalized Fourier Transform: A Unified Framework for the Fourier, Laplace, Mellin and Transforms
Pushpendra Singh, Anubha Gupta, Shiv Dutt Joshi
This paper introduces Generalized Fourier transform (GFT) that is an extension or the generalization of the Fourier transform (FT). The Unilateral Laplace transform (LT) is observe…
eess.SP2018★ 18 cited
Studies on Generalized Fourier Representations and Phase Transforms
Pushpendra Singh
Fourier representation (FR) is an indispensable mathematical formulation for modeling and analysis of physical phenomenon, engineering systems and signals in numerous applications.…
eess.SP2018★ 59 cited
Novel Fourier Quadrature Transforms and Analytic Signal Representations for Nonlinear and Non-stationary Time Series Analysis
Pushpendra Singh
The Hilbert transform (HT) and associated Gabor analytic signal (GAS) representation are well-known and widely used mathematical formulations for modeling and analysis of signals i…