The supports in time and in frequency of a signal x(t) and its Fourier transform X( Icirc copy )are inversely proportional Consider a pulse (a) Let T 0 1, and T 0 10 and find and compare the corresponding X( Icirc copy ) (b) Use MATLAB to simulate the changes in the magnitude spectrum when T 0 10 k...

For the signal we have a For T 0 1 The magnitude is zero at 2k F ...

The supports in time and in frequency of a signal x(t) and its Fourier transform X(Î©)are inversely

Question:

The supports in time and in frequency of a signal x(t) and its Fourier transform X(Î©)are inversely proportional. Consider a pulse

-[u(t) — и(t — Тo)] To x(t) = ||

(a) Let T₀ = 1, and T₀ = 10 and find and compare the corresponding |X(Î©)|.

(b) Use MATLAB to simulate the changes in the magnitude spectrum when T₀ = 10^k for k = 0, €¦ ,4 for x(t). Compute X(Î©)and plot its magnitude spectra for the increasing values of T₀ on the same plot. Explain the results. Use the symbolic function fourier.

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