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The time interval [0,T] has been marked out in equal steps T/N, and frequency fn = n/T has been replaced by the dimensionless quantity n/N.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

Fourier Series, A function f(t) is defined as f(t) = p - t for 0 Write do...

A function f(t) is defined as f(t) = p - t for 0 Write down the even extension of f(t) for -p Determine the Fourier cosine series, and hence, calculate the Fourier series approx

Calculate the cost of manufacturing, A manager has determined the cost C, i...

A manager has determined the cost C, in dollars, for manufacturing is C(q) =85log 10 (10+q/2) for manufacturing, where q is the number of units produced in a given day. (a

Bad Illustration, There is an illustration of a diesel engine sixteen cylin...

There is an illustration of a diesel engine sixteen cylinder that is supposed to be four-cycle, however GM never made engines of that size that were not two-cycle. The four valves

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Database management system, outline the three schema database architecture ...

outline the three schema database architecture clearly explaining each level and how the user view the information

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