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.

Table of Contents

## What are applications of 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.

### What is the application of Fourier series in engineering?

Fourier Series are used in the resolution of Partial Differential Equations, which appears in many Mechanical Engineering problems such as Heat Diffusion, Wave Propagation and Fluid Mechanics problems. Also, the Fourier Transform, which is very related to the Fourier Series, is used in the Spectrum Analysis of signals.

**What are the applications of Fourier transform?**

It is used in designing electrical circuits, solving differential equations , signal processing ,signal analysis, image processing & filtering.

**Why the applications of Fourier series is necessary in real life?**

We use Fourier series to write a function as a trigonometric polynomial. Control Theory. The Fourier series of functions in the differential equation often gives some prediction about the behavior of the solution of differential equation. They are useful to find out the dynamics of the solution.

## What is the application of Fourier series in mechanical engineering?

Fourier transform is useful in the study of frequency response of a filter , solution of PDE, discrete Fourier transform and Fast Fourier transform in signal analysis. A Fourier transform when applied to a partial differential equation reduces the number of independent variables by one.

### What is an example of application for discrete Fourier series?

First, the DFT can calculate a signal’s frequency spectrum. This is a direct examination of information encoded in the frequency, phase, and amplitude of the component sinusoids. For example, human speech and hearing use signals with this type of encoding.

**Why Fourier series is used in communication engineering?**

In the theory of communication a signal is generally a voltage, and Fourier transform is essential mathematical tool which provides us an inside view of signal and its different domain, how it behaves when it passes through various communication channels, filters, and amplifiers and it also help in analyzing various …

**Why Fourier transform is used in communication?**

## How Fourier transform is used in signal processing?

The Fourier transform is a mathematical formula that relates a signal sampled in time or space to the same signal sampled in frequency. In signal processing, the Fourier transform can reveal important characteristics of a signal, namely, its frequency components.

### How is Fourier series used in communication?

In communications theory the signal is usually a voltage, and Fourier theory is essential to understanding how a signal behaves when it passes through filters, amplifiers and communications channels. Even discrete digital communications which use 0’s or 1’s to send information still have frequency contents.