Using MATLAB, 3(a) Consider the signal u(t) 2(t)-3/1p.4(t). Plot u(t) and its ma

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Using MATLAB,

3(a) Consider the signal u(t) 2(t)-3/1p.4(t). Plot u(t) and its matchd ier um(t)u-t) on the same plot (b) Use the function contconv to convolve u(t) and u(t). Plot the result of the convolution Where is the peak of the signal? (c) Now consider a complex-valued signal s(t) = u(t) +Jr(t), where t (t) = 1,2](t) +21101](t) The matched filter is given by Smi(t) s(-t). Plot the real parts of s(t) and sm (t) on one t, and the imaginary parts on another (d) Use the function contconv to convolve s(t) and sm(t). Plot the real part, the imaginary part and the magnitude of the output. Do you see a peak? (e) Now, use the function contconu to convolve si (t) = s(t-to)e,e and sm/(t), for to-2 and Plot the real part, the imaginary part, and the magnitude of the output. Do you see a (f) If you did not know to and , could you estimate it from the output of the convolution in (e)? Try out some ideas and report on the results.

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