With the last two problems in mind, show that F (1 2 Iuml ) Atilde sinc (1 2 x) rect( Icirc ordm ), starting with the knowledge that F rect(x) sinc (1 2 Icirc ordm ), in other words, Eq (7 58) with L a, where a 1 A(k) E,L sinc (kL 2) (7 58)

Question: With the last two problems in mind, show that F{(1/2Ï) Ã sinc (1/2 x)} = rect(Îº), starting with the knowledge that F{rect(x)} = sinc (1/2

With the last two problems in mind, show that F{(1/2Ï€) Ã— sinc (1/2 x)} = rect(Îº), starting with the knowledge that F{rect(x)} = sinc (1/2 Îº), in other words, Eq. (7.58) with L = a, where a = 1.

A(k) = E,L sinc (kL/2) (7.58)

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