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Unformatted text preview: Uniﬁed Engineering II Spring 2004 Problem S21 (Signals and Systems)
Consider the signal
g (t) = (1 + |t|)e−|t|
1. Plot the signal. Do you expect the signal to have a “good” durationbandwidth
product, meaning that the product is close to the lower bound?
2. Find the duration of the signal, Δt.
3. Find the bandwidth of the signal, Δω . You may want to use the time domain
formula for the bandwidth.
4. How close is the answer to the theoretical lower bound? Explain why the answer
is or is not close to the bound. ...
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- Fall '05