In the Special 2-D Sequences page the following examples are demonstrated,
- 2D dirac
- 2D diagonals
- 2D unit step function
Is there a more defined method or series of steps for determining if a function is separable or not? Other than:
$$x(n_1, n_2) = f(n_1)g(n_2) $$
Note: is there any difference between this and saying that:
$x(n_1, n_2) = f(n_1)\times g(n_2)$, where $\times$ is the orthogonal product (See SIMG-716 Linear Imaging Mathematics I section 2.1)? Is this simply referring to the inner product?
To me the solutions are highly intuitive and the requirement to solve such problems solely relies on the understanding of properties associated with the function.