Problem 3 This question concerns evaluating the bandwidth of a signal. There are many different definitions on how bandwidth should be measured. In...
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# Have no idea where to start.. A step by step solution would be awesome. alt="2019-10-02 10_19_32-hw1.pdf - Chrome.png" /> ATTACHMENT PREVIEW Download attachment 2019-10-02 10_19_32-hw1.pdf - Chrome.png Problem 3 This question concerns evaluating the bandwidth of a signal. There are many different definitions on how bandwidth should be measured. In this question we adopt the 3-dB bandwidth. Suppose that the given signal g(t) is lowpass. The 3-dB bandwidth for a lowpass signal is defined as the separation between f = 0, at which the amplitude spectrum is assumed to attain its peak value, and a frequency point f = Br, at which the amplitude spectrum drops to 1/v2 of its peak value. Mathematically we may write IG(BT)I IG(0)| V2 where G(f) is the Fourier transform of the signal. The value By obtained is the 3-dB bandwidth. (a) (15%) Find the 3-dB bandwidth of the lowpass signal g(t) = 1 0, e-20nt t &gt; 0 t&lt;0 (b) (15%) What would you say about the 3-dB bandwidth of the following bandpass signal g (t) = 0, e-20nt cos(27 fct), t&gt; 0 t&lt;0 where the frequency fc &gt; 0 is very large. Note that you may slightly change the definition of the 3-dB bandwidth to fit this problem better.

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