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 ...
Periodic functions and their representation by Fourier series possess a great importance in different branches of fundamental and applied sciences, in particular, in optics. It is well known that the ...
Abstract: Singularity functions are an important topic in undergraduate studies covered primarily in signal processing. Some of those functions are the step function, the ramp function and the ...
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. Harmonically ...
There was an error while loading. Please reload this page. Overview This project involves implementing and analyzing Fast Fourier Transform (FFT) and Inverse Fast ...
This project, developed for the Signals and Systems course, computes the Fourier series coefficients of periodic real signals and reconstructs them using the synthesis formula in MATLAB. Three ...
In this paper, we present rational approximations based on Fourier series representation. For periodic piecewise analytic functions, the well-known Gibbs phenomenon hampers the convergence of the ...
A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...
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