37 5 where the sequence is the impulse response of

Info iconThis 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

This note was uploaded on 11/29/2012 for the course GEOPHYSICS 426 taught by Professor Sacchi during the Winter '12 term at University of Alberta.

Ask a homework question - tutors are online