The convolution between two functions f(x) and g(x) in the domain of Fourier transform is:
1
\(f*g = \mathop \smallint \limits_{ - \infty }^\infty f\left( u \right)g\left( {x - u} \right)du\)
2
\(f*g = \mathop \smallint \limits_{ - \infty }^\infty f\left( u \right)g\left( u \right)du\)
3
\(f*g = \mathop \smallint \limits_{ - \infty }^\infty f\left( u \right)g\left( {x - u} \right)dx\)
4
\(f*g = \mathop \smallint \limits_{ - \infty }^\infty f\left( u \right)g\left( u \right)dx\)