The MATLAB FFT/IFFT functions are good but not so easy to use for real periodic signal: the ordering of the frequency vector is confusing due to the negative frequencies (spectrums are symmetric) the ...

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 ...

á. Jenei, “Pointwise Convergence of Fourier and Conjugate Series of Periodic Functions in Two Variables,” Ph.D. Thesis, University of Szeged, Bolyai Institute, 2009.

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.

Summary <p>This chapter introduces the Fourier series representation of discrete time periodic functions. We represent discrete time periodic functions in a Hilbert space spanned by the orthogonal ...

The idea inspiring is to approximate a regular periodic signal, under Dirichlet conditions, via a linear superposition of trigonometric functions, thus Fourier polynomials are constructed. The ...