I am taking a intro to Fourier optic class and I am not good on Proof. Now the problem is he wants to prove : comb(ax) comb(by)=1/|ab| infinite Sum n=-infinite, infinite Sum n=-infinite, Delta (x-n/a, y-m/b). this is a two dimensional Sampling Theory :idea:
Sorry I don't have the symbols for you.
So far I have:
g subscript (s) (fx,fy)=infinite Sum n=-infinite, infinite Sum n=-infinite g(x exponent a - n/a, y exponent b - m/b)
second function: G subscript (s) (fx,fy)=infinite Sum n=-infinite, infinite Sum n=-infinite G(fx exponent a - n/a, fy exponent b - m/b).
Now, I am not sure if I am suppose to right. H(fx,fy)={rect(fx subscript a/2B subscript x) rect(fy subscript a/2B subscript y)}= 1/ab 4B subscript x B subscript y sinc(2 B exponent a and subscript x) sinc(2 B exponent b and subscript y)
This is where I get stuck.
Sincerely,
Lost Tanya[/list]
Sorry I don't have the symbols for you.
So far I have:
g subscript (s) (fx,fy)=infinite Sum n=-infinite, infinite Sum n=-infinite g(x exponent a - n/a, y exponent b - m/b)
second function: G subscript (s) (fx,fy)=infinite Sum n=-infinite, infinite Sum n=-infinite G(fx exponent a - n/a, fy exponent b - m/b).
Now, I am not sure if I am suppose to right. H(fx,fy)={rect(fx subscript a/2B subscript x) rect(fy subscript a/2B subscript y)}= 1/ab 4B subscript x B subscript y sinc(2 B exponent a and subscript x) sinc(2 B exponent b and subscript y)
This is where I get stuck.
Sincerely,
Lost Tanya[/list]