Discrete Fourier Transform (DFT) program has been written by using Python 3 as a function called dofft. This function has been validated by comparing with fft python library (through SciPy library).

Fourier Transform represents time signal in frequency domain. It can be used for spectral analysis, de noising, compression, filtering & “fast” convolution.

A Fourier transform converts a signal from the time domain, where it is represented by its amplitude as a function of time, to the frequency domain, where it is represented by its spectrum as a ...

This chapter introduces the Fourier ... time periodic functions. We represent discrete time periodic functions in a Hilbert space spanned by the orthogonal harmonically related complex exponential ...

Abstract: Based on the interpolated all-phase DFT, a new parameters estimation algorithm for the exponential signal is presented. The proposed algorithm utilizes the all-phase preprocessing unit to ...