14.13 QUESTIONS
1. The Fourier transform of a signal v(t) is known to be V(jω) = |ω| e–|ω| volts/Hz. What will be the approximate amplitude and frequency of the output signal if this signal is applied to an ideal band-pass filter that passes signals of frequencies in the range 0.49 to 0.51 rad/s?
2. The signal v(t) = 2δ(t) + 3e–0.3t cos10t + vS(t) is known to have a Fourier transform of V(jω) = 3 + 2δ(jω). What must be vS(t)?
3. The Fourier transform values for a signal v(t) at j2 rad/s and –j2 rad/s are –0.5 + j0.7 and –0.5 –j0.8, respectively. Explain why v(t) can not be a real function of t.
4. The Fourier transform of a rectangular pulse symmetrically located in time-axis is found to cross the frequency-axis for the first time at 100π rad/s. ...
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