6. Show the validity of the following the 2-D discrete Fourier transform pairs: (а) б(х — Хо, у — Уo) + е-)2п(+ M voy MN (b) cos (27 (*+) → (8(u + uo, v + vo) + 8(u – Uo, v – vo)] M N

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 22EQ
Question

Show the validity of following the 2-D discrete Fourier transform pairs:

6. Show the validity of the following the 2-D discrete Fourier transform pairs:
(a) 8(x – xo,y – yo) → e¯j27(+)
M
N
Voy
MN
(b) cos
(27 (* + )) → [8(u + uo, v + vo) + 8(u – Uo, v – vo)]
M
N
2
Transcribed Image Text:6. Show the validity of the following the 2-D discrete Fourier transform pairs: (a) 8(x – xo,y – yo) → e¯j27(+) M N Voy MN (b) cos (27 (* + )) → [8(u + uo, v + vo) + 8(u – Uo, v – vo)] M N 2
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