Note that the complex convolution is carried out with respect to the spatial frequency y. The integral above can be rewritten

Ssa(u) = (na2/2) exp(+jbu)J exp(-j2by)exp(-a|y|)exp(-a|u - y|) dy 5.2-63

Equation 5.2.63 can be rewritten as the sum of three integrals for u > 0:

Ssa(u) = (na2/2)exp(+jbu) I exp(-j2by) exp(ay) exp(a(y - u))dy +

iu l2 exp(- j2by) exp(-ay) exp(a(y - u)) dy + 5.2-64

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