MEC702_Wk_13_Tutorial

# MEC702_Wk_13_Tutorial - MEC702 Wk 13 Tutorial Fourier...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MEC702 Wk 13 Tutorial Fourier Cosine Transform. Fourier Sine Transform. 1. Find the Fourier cosine transform fˆc (w) and fˆs (w) of 0<x<1 1, f (x) = −1, 1 < x < 2 0, x > 2. 2. Find fˆc (w) and fˆs (w) of ( f (x) = 3. Find fˆc (w) and fˆs (w) x, 0 < x < 2 . 0, x > 2 of ( x2 , 0 < x < 1 f (x) = 0, x > 1. 4. Find Fs (e−ax ), a > 0, by integration. Fourier Transform. DFT. FFT. 1. Find the Fourier transform of (a) (b) (c) (d) f (x) without ( e2ix , −1 < x < 1 f (x) = 0, otherwise ( 1, a < x < b f (x) = 0, otherwise ( ekx , x < 0 (k > 0) f (x) = 0, x>0 ( ex , −a < x < a f (x) = 0, otherwise 1 using Table. Show all details. 2. Find the transform of a general signal of four values f1 f2 . f = f3 f4 3. Find the transform (the frequency spectrum) of a general signal of two values   f1 . f2 4. Find the inverse matrix of the matrix 1 1 F4 = 1 1 1 −i −1 i 1 −1 1 −1 and use it to recover the signal 0 1 f = 4 . 9 (Related to the example in the notes) 2 1 i −1 −i ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern