184 citations · 372 across the 9 of their papers we have counts for
4 papers · 1 filter
LINOEP vectors, spiral of Theodorus, and nonlinear time-invariant system models of mode decomposition
Pushpendra Singh
In this paper, we propose a general method to obtain a set of Linearly Independent Non-Orthogonal yet Energy (square of the norm) Preserving (LINOEP) vectors using iterative filter…
Some studies on multidimensional Fourier theory for Hilbert transform, analytic signal and space-time series analysis
Pushpendra Singh, Shiv Dutt Joshi
In this paper, we propose the Fourier frequency vector (FFV), inherently, associated with multidimensional Fourier transform. With the help of FFV, we are able to provide physical…
The Hilbert spectrum and the Energy Preserving Empirical Mode Decomposition
Pushpendra Singh, Shiv Dutt Joshi, Rakesh Kumar Patney +1
In this paper, we propose algorithms which preserve energy in empirical mode decomposition (EMD), generating finite number of band limited Intrinsic Mode Functions (IMFs). In t…
The Fourier Decomposition Method for nonlinear and nonstationary time series analysis
Pushpendra Singh, Shiv Dutt Joshi, Rakesh Kumar Patney +1
Since many decades, there is a general perception in literature that the Fourier methods are not suitable for the analysis of nonlinear and nonstationary data. In this paper, we pr…