Two hundred years ago, Joseph Fourier introduced a major concept in mathematics, the so-called Fourier transform (FT). It was not until 1965, when Cooley and Tukey developed the ‘fast Fourier ...

This chapter extends the Fourier series representation of discrete time periodic functions to aperiodic functions. We investigate the power of the discrete time Fourier transform in manipulating the ...

Abstract: In electrical distribution system measurements, noise arises from both sensor-related distortions and grid disturbances. Accurate noise extraction is crucial for identifying and mitigating ...

A key algorithm that quietly empowers and simplifies our electronics is the Fourier transform, which turns the graph of a signal varying in time into a graph that describes it in terms of its ...

A non-linear parametric model for brain activation detection by functional magnetic resonance imaging (FMRI) is proposed. The effects of a designed temporal stimulus on the FMRI signal at each brain ...