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Through a maze of complex algebra, the Fourier transform of the equivalent SA DSF is finally reached:

Ssa(u)= ^ 2\ '' [(a/b)sin(b|u|) + cos(bu)], forall u 5.2-67

Remember, a = 8m/2 = the half-intensity (acceptance) angle of the primary DSF. b is the angle between the two adjacent DSFs. If b = a is chosen, a considerable algebraic simplification results. The Fourier transform of the synthetic aperture DSF is

:V2e

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