The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose interval has units of time. From uniformly spaced samples it produces a function of ...

Audio-Synthesis-with-Fourier-Series-using-MATLAB This repository can be used to generate Audio Waves or signals with the concept of Fourier Series. Audio synthesis is a fundamental aspect of music ...

This paper covers the concept of Fourier series and its application for a periodic signal. A periodic signal is a signal that repeats its pattern over time at regular intervals. The idea inspiring is ...

This chapter introduces the Fourier series representation of continuous time periodic functions. A periodic function can be represented as a vector in an infinite‐dimensional space.

• Apply the concepts of Fourier series representations to analyze continuous and discrete time periodic signals. • Understand and apply the continuous time Fourier transform, discrete time Fourier ...

An experiment is described illustrating the fact that an approximand to a periodic function in the form of a truncated Fourier Series minimizes the mean-squared ...

The key objective of this paper is to improve the approximation of a sufficiently smooth nonperiodic function defined on a compact interval by proposing alternative forms of Fourier series expansions.