Write the expression of one-dimensional discrete Fourier transforms in image Processing?

Question

Q:

Write the expression of one-dimensional discrete Fourier transforms in image Processing?

Answer 1

Forward transform

The sequence of x(n) is given by x(n) = { x0,x1,x2,… xN-1}.

X(k) = (n=0 to N-1) _ x(n) exp(-j 2* pi* nk/N) ; k= 0,1,2,…N-1

Reverse transforms

X(n) = (1/N) (k=0 to N-1) _ x(k) exp(-j 2* pi* nk/N) ; n= 0,1,2,…N-1