a.) Design sixteen signal waveforms Si(t) for i = 1,2,…,16 and 0 The waveforms Si(t) for i = 1,2,…,8 have the same ampli

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a.) Design sixteen signal waveforms Si(t) for i = 1,2,…,16 and
0 The
waveforms Si(t) for i = 1,2,…,8 have the same amplitude while Si(t)
for i = 9,10,…,16 have same amplitude.
b.) Design the receiver using the correlator.
c.) Design the receiver using the match filter. What are
the functions of each match filter?
d.) What is the decision rule?
e.) Use the receiver in b.) to find the decision variables and
prove the decision rule if the received signal is r(t) = S9(t)
f.) Use the receiver in c,) to find the decision
variables and prove the decision rule if the received signal is
r(t) = S9(t)