Multidimensional transform: Difference between revisions

Content deleted Content added
Multiplication: Invert order in the 2nd equation as it is hard to tell the difference if we inverse X_1 and X_2.
Mikidep (talk | contribs)
m Differentiation: Updated with proper notation for partial derivatives.
Line 51:
If <math>x(n_1,\ldots,n_M) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} X(\omega_1,\ldots,\omega_M)</math>, then
 
: <math>-jn_1x(n_1,\ldots,n_M) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} \frac{\deltapartial}{(\deltapartial\omega_1)} X(\omega_1,\ldots,\omega_M), </math>
: <math>-jn_2x(n_1,\ldots,n_M) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} \frac{\deltapartial}{(\deltapartial\omega_2)} X(\omega_1,\ldots,\omega_M), </math>
: <math>(-j)^M(n_1n_2\cdots n_M)x(n_1,\ldots,n_M) \overset{\underset{\mathrm{FT}}{}}{\longleftrightarrow} \frac{(\deltapartial)^M}{(\deltapartial\omega_1\deltapartial\omega_2\cdots\deltapartial\omega_M)} X(\omega_1,\ldots,\omega_M),</math>
 
====Transposition====