The type-I Discrete Non-Uniform Transform (NDFT) is defined as the following operation: $$h_k = \sum_{M/2-1}^{M/2} f(x_j) e^{-2\pi\mathbf{i}k\frac{x_j}{M}}$$ Which ...

Fourier series is an important mathematical concept. It is well known that we need too much computation to expand the function into Fourier series. The existing literature only pointed that its ...

The Signal Analysis and Visualization Tool is a Python program that allows users to analyze and visualize the characteristics of a given input signal. It calculates and displays the impulse response, ...

Approximations are found to the joint distributions of noncircular and circular partial serial correlation coefficients calculated from residuals from regression on Fourier series. Results for ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

1 Department of Geophysics, Research Institute of Petroleum Exploration and Development, PetroChina, Beijing, China 2 Department of Geophysics, School of Geoscience and Info-Physics, Central South ...