It\'s linked to problem 4.25 from Signals and Systems , Allen V. Oppenheim Fouri

Question

It's linked to problem 4.25 from Signals and Systems, Allen V. Oppenheim

 

Fourier transform properties. Let X(jw) denote the Fourier transform of the signal x(t)shown in the figure above.

(a) Find X(0).

Note: You should perform all these calculations without explicitly evaluating X(jw).

----( I dont get how to do that)

It's linked to problem 4.25 from Signals and Systems, Allen V. Oppenheim (b) Find int - infinity between infinity X (jW)dw. (c) Evaluate int - infinity between infinity X (jW)^2 dw (d) Evaluate the inverse Fourier transform of Re{X(jW)} Note: You should perform all these calculations without explicitly evaluating X(jw). ----( I dont get how to do that) Fourier transform properties. Let X(jw) denote the Fourier transform of the signal x(t)shown in the figure above. (a) Find X(0).

Explanation / Answer

for part

b) the answer is 7. since w = 0 , just do the integeration of x(t) and it should give you 7.

and for part I think you could get it from part b, its just the squared.

d) I can't draw it here, but Re{x(jw)} is the even function, so draw the even function.

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