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The time interval [0,T] has been marked out in equal steps T/N, and frequency fn = n/T has been replaced by the dimensionless quantity n/N.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

Inverse z transform, after solving the difference equation using z transfor...

after solving the difference equation using z transform, how to find the inverse z transform for the answer

Draw concentric circles, Draw concentric circles of radii a and b, each cen...

Draw concentric circles of radii a and b, each centered at z=id (on the imaginary axis). Suppose φ(x,y) is a harmonic function inside the washer defined by these circles. The circl

You are required to design an air-conditioner controller for, Below are the...

Below are the conditions specified by the institution: a) If the temperature sensor shows 30 degree Celsius or higher, the air-conditioner will be turned ON regardless of the othe

Modelling equations , how to model equations to determine the amount of oil...

how to model equations to determine the amount of oil in a reservior

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

Dynamics, A stone weighing 50 newton is tied to one end of a cord 0.90 mete...

A stone weighing 50 newton is tied to one end of a cord 0.90 meter long. the stone is then whirled in a vertical circle. if the breaking strength of the cord in tension is 60 newto

Statistics, what are median,mode,aveage,mode

what are median,mode,aveage,mode

Weighted aggregate , The data of the table below give details of the compon...

The data of the table below give details of the components, prices and standard quantities used in making a kind of chemical. Measure  the composite index with 2007 as base year us

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