Consider the unit rectangle a(t) convolved with a step function u(t) as in Figure XXXXXXXXXXa) By inspection, determine an expression for the Fourier transform of b(t). (b) Calculate B( f ) and check...

Consider the unit rectangle a(t) convolved with a step function u(t) as in Figure 6.36. (a) By inspection, determine an expression for the Fourier transform of b(t). (b) Calculate B( f ) and check this result against the predictions from part (a). (c) Observe that b(t) can be viewed as the time integral of a(t) and find the Fourier transform of the integral by using A( f ) and the time integral theorem. (d) Compare the two answers from parts (a) and (b).

Dec 02, 2021
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