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The time interval [0,T] has been marked out in equal steps T/N, and frequency fn = n/T has been replaced by the dimensionless quantity n/N.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

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

Vector, prove that A=3i+j-2k, B=-i+3j+4k ,C=4i-2j-6k and find the length of...

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

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

Temperature function, If a temperature function is given in the x,y plane b...

If a temperature function is given in the x,y plane by T(x,y) = x+y, what is the value, to 3 decimal places, of the corresponding temperature function T1(u,v) at the point (u,v) =

Laplace transform, basic properties on the inverse of laplace transform

basic properties on the inverse of laplace transform

Matrics, #find inversquestion..

#find inversquestion..

Define a mapping from the x-y plane, Define a mapping from the x,y plane to...

Define a mapping from the x,y plane to the u,v plane by u = 2x + y, v = -x +2y . If a temperature function is given in the x,y plane by T(x,y) = x+y, what is the value, to 3 de

Multiple inyegral, Ask question #how to identify region of the integral sum...

Ask question #how to identify region of the integral sum#

Fourier series, b) State by inspection (i.e. without performing any formal ...

b) State by inspection (i.e. without performing any formal analysis) all you can about each of the periodic waveforms shown in FIGURE 1 in terms of their Fourier series when analys

Substitution method, Answer the following set of simultaneous equations usi...

Answer the following set of simultaneous equations using elimination or substitution method. a) x-y +z= 10 b) 3x+y+2z=34 c) -5x+2y-z=-14

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