(a) Write an expression for the FT of (x(t)=operatorname{Rect}(t / 3)). (b) Assume that you want to...

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(a) Write an expression for the FT of \(x(t)=\operatorname{Rect}(t / 3)\). 

(b) Assume that you want to compute the modulus of the FT using a DFT of size 512 with a sampling interval of 1 second. Evaluate the modulus at frequency (80/512) Hz. Compare your answer to the theoretical value and compute the error.

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