Referring to Problem 9.11 for the general definition of a matched filter, find the following in relation to the two signals shown in Figure 9.34.

(a) The causal matched-filter impulse responses. Sketch them.
(b) Relate the constants A and B so that both cases give the same peak-signal-to-rms noise ratio at the matched-filter output.
(c) Sketch the output of the matched filters as a function of time with signal only at the input.
(d) Comment on the ability of the two matched filters for these signals to provide an accurate measurement of time delay. What do you estimate the maximum error to be in so doing in each case?
(e) If peak transmitted power is a consideration, which waveform (and matched filter) is preferable?

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