What is the application of Fourier Series?

Fourier series are the ones which are used in applied mathematics, and especially in the field of physics and electronics, to express periodic functions such as those that comprise communications signal waveforms.

What is Fourier Series used for in real life?

fourier series is broadly used in telecommunications system, for modulation and demodulation of voice signals, also the input,output and calculation of pulse and their sine or cosine graph.

What is the application of Fourier Series in mechanical engineering?

Fourier series is used to convert any periodic signal/data in terms of harmonics. Solution to real life problems is usually known for harmonic impetus hence using Fourier series solution can be extended (as linear combination of harmonics in case of linear problems) to any periodic impetus.

Why do we study Fourier Series?

The reason for the interest in Fourier Series is because you can use it to understand what a square wave (or any non-sine wave) is like to process in analog electronics.

How Fourier series is important in explaining the general motion of continuous system?

The Fourier series represents periodic, continuous-time signals as a weighted sum of continuous-time sinusoids. It is widely used to analyze and synthesize periodic signals. The trigonometric form expresses real-valued signals as weighted sums of harmonically related sines and cosines.

What is meant by Fourier series?

Definition of Fourier series : an infinite series in which the terms are constants multiplied by sine or cosine functions of integer multiples of the variable and which is used in the analysis of periodic functions.

What are the applications of the Fourier series?

The Fourier series has various applications in electrical engineering, vibration analysis, acoustics, optics,image processing,signal processing, quantum mechanics, econometrics, thin-walled shell theory, etc. Share this with your friends

What is the difference between Laurent series and Fourier series?

What is the Fourier Series? A Fourier series is an expansion of a periodic function f (x) in terms of an infinite sum of sines and cosines. Fourier Series makes use of the orthogonality relationships of the sine and cosine functions. Laurent Series yield Fourier Series

What are the Fourier series formulas in calculus?

The above Fourier series formulas help in solving different types of problems easily. Example: Determine the fourier series of the function f (x) = 1 – x2 in the interval [-1, 1]. We know that, the fourier series of the function f (x) in the interval [-L, L], i.e. -L ≤ x ≤ L is written as:

What is the Fourier series of periodic functions?

The fourier Series makes use of the orthogonality relationships of the sine functions and cosine functions. It’s very difficult to understand and/or motivate the fact that arbitrary periodic functions have Fourier series representations.