# 37 5 where the sequence is the impulse response of

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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 & %  §¥ ¨ ©...
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