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The time interval [0,T] has been marked out in equal steps T/N, and frequency fn = n/T has been replaced by the dimensionless quantity n/N.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

Notice at the gym, You notice at the gym that it appears more women tend to...

You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone.  To examine whether this difference is significant, you collect

Dot plot graph, What does a dot plot graph look like with the measurements ...

What does a dot plot graph look like with the measurements 85.1 mm,85.0 mm,85.2 mm, and 85.1 mm

Investigate the output of advertising agencies, In an article in Marketing...

In an article in Marketing Science , Silk and Berndt investigate the output of advertising agencies. They describe ad agency output by finding the shares of dollar billing volume

Pooleed sample variance, given sample A : HAS SIZE 6,MEAN 8,VARIANCE 16 AND...

given sample A : HAS SIZE 6,MEAN 8,VARIANCE 16 AND SAMPLE B:has size 10,mean 20 and variance 36 .calculate pooled sample variance

Linear programming applications to industry, I need a research paper. The c...

I need a research paper. The concept is to develop a new linear programming was not introduced in the art literature before then apply the LP to spcific industry

Evaluate the fermat''s method algorithm, 1. (i) How many digits does the nu...

1. (i) How many digits does the number 101000 have when written to base 7 ? (ii) Use the prime number theorem to estimate the proportion of prime numbers among the positive inte

Find the polynomial, a) Use divided differences to ?nd the polynomial (in n...

a) Use divided differences to ?nd the polynomial (in nested form) that interpolates the data b) Add the data point x = 6, y = -20 and hence estimate y for x = 2.

Linear programming, A paper mill produces two grades of paper viz., X and Y...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

First order system, As with the first order system, there is a general diff...

As with the first order system, there is a general differential equation that governs the response of a second order system.  The equation is of the form: Where: So

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