Multidimensional transform: Difference between revisions

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====Linearity====
 
if <math>x_1(n_1,...\ldots,n_M) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} X_1(\omega_1,...\ldots,\omega_M)</math> , and <math>x_2(n_1,...\ldots,n_M) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} X_2(\omega_1,...\ldots,\omega_M)</math> then,
 
: <math>a x_1(n_1,...\ldots,n_M) + b x_2(n_1,...\ldots,n_M) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} a X_1(\omega_1,...\ldots,\omega_M) + b X_2 (\omega_1,... \ldots, \omega_M) </math>
 
====Shift====