Matlab scripts to generate truncated fourier series of a function and analyse the function in time as well as in frequency domain. The variable named choice captures the analysis domain i.e time or ...

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 ...

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 ...

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 ...

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.

According to the theory on Fourier series, any practical periodic function can be represented as a sum of (infinitely) many trigonometric (cosine/sine) functions or complex exponential functions, ...

Fourier series are of very great importance in both pure mathematics and mathematical physics. Fourier himself dealt with physical applications, ignoring theoretical difficulties, but these ...