This project presents a recursive Python implementation of the Radix-2 Fast Fourier Transform (FFT) algorithm in obtaining the discrete fourier transform (DFT) of a discrete set of data points whose ...

This Python program implements the Fast Fourier Transform. It was developed and tested using Python 3.12.

Summary <p>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 ...

Summary <p>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 ...

The discrete Fourier-cosine transform (cos-DFT), the discrete Fourier-sine transform (sin-DFT) and the discrete cosine transform (DCT) are closely related to the discrete Fourier transform (DFT) of ...

Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

Fourier analysis has become a standard tool in contemporary science. Here, Weimann et al. report classical and quantum optical realizations of the discrete fractional Fourier transform, a ...