Multidimensional transform: Difference between revisions

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====Separability====
One property is the separability property. A signal or system is said to be separable if it can be expressed as a product of 1-D functions with different independent variables. This phenomenon allows computing the FT transform as a product of 1-D FTs instead of multi-dimensional FT.
 
One property is the separability property. A signal or system is said to be separable if it can be expressed as a product of 1-D functions with different independent variables. This phenomenon allows computing the FT transform as a product of 1-D FTs instead of multi-dimensional FT.
 
if <math>x(n_1,...,n_M) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} X(\omega_1,...,\omega_M)</math>, <math>a(n_1) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} A(\omega_1)</math>,