TITLE:
Modeling a Periodic Signal Using Fourier Series
AUTHORS:
Uwaydah Leith
KEYWORDS:
Fourier Series, Signal, Periodic, Period, Frequency, Sine, Cosine, Convergence
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.3,
March
27,
2024
ABSTRACT: 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 to approximate a regular periodic signal, under Dirichlet conditions, via a linear superposition of trigonometric functions, thus Fourier polynomials are constructed. The Dirichlet conditions, are a set of mathematical conditions, providing a foundational framework for the validity of the Fourier series representation. By understanding and applying these conditions, we can accurately represent and process periodic signals, leading to advancements in various areas of signal processing. The resulting Fourier approximation allows complex periodic signals to be expressed as a sum of simpler sinusoidal functions, making it easier to analyze and manipulate such signals.