Describe basic fourier theory, Engineering Mathematics

Assignment Help:

An experiment conducted over time T necessarily produces a windowed view of the phenomenon generating the data. It is a useful strategy to regard the windowed data as one period of a periodic function. Then one may write

979_Basic Fourier Theory.png

and seek to calculate the Fourier coefficients cn from the integral expression

418_Basic Fourier Theory1.png

Large values of cn will be regarded as a quantitative indication of a genuine periodic change in the phenomenon under study. In digital form the relevant equations are

 

970_Basic Fourier Theory2.png

The time interval [0,T] has been marked out in equal steps T/N, and frequency fn = n/T has been replaced by the dimensionless quantity n/N.


Related Discussions:- Describe basic fourier theory

A high school counselor, A high school counselor needs to specify whether t...

A high school counselor needs to specify whether the teenage pregnancy rate at her school is disimilar from the rate nationwide. She knows that the rate nationwide is 15 %. She ran

Christian maturity level , A researcher is interested in comparing the Chri...

A researcher is interested in comparing the Christian maturity level of students who volunteer for community service versus those who do not. The researcher suppose that those who

Jacobi and gauss-sidel , Code and test Jacobi and Gauss-Sidel solvers for a...

Code and test Jacobi and Gauss-Sidel solvers for arbitrary diagonally dominant linear systems.

Numerical analysis, The system has a solution near (-0.5,-0.7). Set...

The system has a solution near (-0.5,-0.7). Set up the matrix equation Jδ = -f for Newton's method and then carry out one iteration, starting with x 0 = -0.5, y 0 = -0.7.

Vector, prove that A=3i+j-2k ,B= -i+3j+4k, C=4i-2j-6k can form a triangle a...

prove that A=3i+j-2k ,B= -i+3j+4k, C=4i-2j-6k can form a triangle and find the length of the medians of the triangle.

Compute the real and imaginary parts, The data in this exam are a set of 6 ...

The data in this exam are a set of 6 integers a through f, based on your social security number. Write the LAST 6 digits of your social security or ID number in the spaces below, t

Control theory., Hi I have just received a math assignment and was wonder...

Hi I have just received a math assignment and was wondering if you can take a look at it and tell me if you can be finished before the 12th of february and what the cost will be.

Process of repeated convolution, If x and y are two independent random vari...

If x and y are two independent random variables then their joint density function is given by The density function f z of the sum  of these two variables is given by the c

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd