37 5 where the sequence is the impulse response of

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: fine the inversion formula (3.32)  X " 60  0 h £¢£ ( X ¨ ¢ ¤( g & ¥% 60 ) ¡0 ¥ ¡§ G¡ ¨¥ X ) ¡ Whereas the 1D FT is used to decomposed signals in a decomposition of sin and cos, one can image the 2D FT as a decomposition of a signal in terms of plane waves. It is important to stress that for our signal processing applications we will be dealing with the 2D DFT (this is the discrete version of the FT). Let us first consider a 2D discrete signal (i.e., a map) B )B E 4 " ) ¦ " GE ) " 4" A' § ¨ #GFD) " 4" A' §  )  §¥ ") The formulas for the forward and inverse DFT in the 2D case are given by   4 & & ¦      ¥ 5 " D) 44" A' § © t ) 44" A' § 7 ) © e  dcX ' % © e ¥ IdcX ' %  ©¥ ¨ ©   © § ¦ ¤ "" ) ) "" ) 5 ¡ (3.33) ¡ CHAPTER 3. DISCRETE FOURIER TRANSFORM 72   4  ¥ 4 4" ) ¦   " D) 4" " A' § © ) ) " 4" A' § 7 ) © e  dcX & % © e ¥ IdcX & %  §¥ ¨ ©...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern