| R. N. Bracewell, K. Y. Chang, A. K. Jha, and Y. H. Wang, "Affine Theorem for 2-Dimensional Fourier Transforms," Electronic Letters, vol. 29, p. 304, Feb 1993. (d) (c) (b) (a) |
....in the continuous case. This can be expressed as xm ( xm 1 (A d) 29) where now A is a 2 Theta2 matrix representing the linear component of the transformation, and the vector d the translation component. It is readily shown that in the frequency domain this can be written as [35] xm ( e T A Gamma1 d j det Aj xm 1 ( A T ] Gamma1 ) 30) from which we can write xm (A T ) e T A Gamma1 d j det Aj xm 1 ( 31) xm (A T ) x m 1 ( jx m 1 j 2 j det Aj e T d (32) From this it then follows that the ....
R. N. Bracewell, K. Y. Chang, A. K. Jha, and Y. H. Wang, "Affine Theorem for 2-Dimensional Fourier Transforms," Electronic Letters, vol. 29, p. 304, Feb 1993. (d) (c) (b) (a)
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