Question

In: Advanced Math

i. Define Fourier Series and explain it usefulness. At what instance can a function ?(?) be...

i. Define Fourier Series and explain it usefulness. At what instance can a function ?(?) be developed as a Fourier series.
ii. If ?(?)=12(?−?), find the Fourier series of period 2? in the interval (0,2?)

Solutions

Expert Solution


Related Solutions

Explain what truncating a Fourier series expansion and Fourier Integral does
Explain what truncating a Fourier series expansion and Fourier Integral does
I wanted to understand about Fourier Series and Fourier Transform.I need some one to explain from...
I wanted to understand about Fourier Series and Fourier Transform.I need some one to explain from basics. Like what is Signal,What is sine wave,What is cos wave .Why we need fourier series and fourier transform.I wanted to understand everything visuallyI tried watching you tube videos .As i am not sure the basics,I am not able to understand any of the videos. Also i wanted to know the sinusoida wave equation.Not able to understand this formula.I wanted to know "Why" behind...
Explain why. Is Fourier Series can represent any normal, periodic function if we use enough sinusoid...
Explain why. Is Fourier Series can represent any normal, periodic function if we use enough sinusoid term?
find Fourier series of periodic function ?(?) = { −?, −1 ≤ ? ≤ 0 with...
find Fourier series of periodic function ?(?) = { −?, −1 ≤ ? ≤ 0 with the period 2 { ?, 0 ≤ ? ≤ 1
Q.  Find the an in the Fourier series expansion of the function                     ?(?) = Mx2 +...
Q.  Find the an in the Fourier series expansion of the function                     ?(?) = Mx2 + 7 sin(M?) defined over the interval (−?, ?). Where M =9
Can anyone please tell me what function in excel I could use in this instance: I...
Can anyone please tell me what function in excel I could use in this instance: I have two spreadsheets with sales of products for a company. I am needing to create a new spreadsheet with gross sales by month and by region. It haven't included all the worksheets, because I truly just need pointed in the right direction.
Both the Fourier Series and the Discrete Fourier Transform are calculated using summation. Explain the key...
Both the Fourier Series and the Discrete Fourier Transform are calculated using summation. Explain the key differences in what the inputs each of the Fourier Series and the DFT are AND the requirements the inputs.
Calculate the Fourier Series of the function below. Results should be in full, closed-form series. Graph...
Calculate the Fourier Series of the function below. Results should be in full, closed-form series. Graph using Octave or Matlab to compare and check answer. Period is 2pi. f(x)= 1 for -pi<x<-pi/2, -1 for -pi-2<x<0, 0 for 0<x<pi
Given the following functions, can you have the corresponding a) Fourier series, b) Fourier transform and...
Given the following functions, can you have the corresponding a) Fourier series, b) Fourier transform and c) Laplace transform? If yes, find them, if not, explain why you can not. A, x(t) = -1+cos(2t) + sin(pai*t+1)                                               (4-1) B, x(t) = 2d(t) cos(2t) +d(t-1.5p) sin(2t)                                          (4-2) C, x(t) = 1+cos(1.5t) + cos(4t)                                           (4-3)
Given the following functions, can you have the corresponding a) Fourier series, b) Fourier transform and...
Given the following functions, can you have the corresponding a) Fourier series, b) Fourier transform and c) Laplace transform? If yes, find them, if not, explain why you can not. A, x(t) = -1+cos(2t) + sin(pt+1)                                                                                 (4-1) B, x(t) =2d(t) cos(2t) +d(t-1.5p) sin(2t)                                                                    (4-2) C, x(t) = 1+cos(1.5t) + cos(4t)                                                                                    (4-3)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT