# Consider matched-filter reception of the two signals s1(t) and s2(t) as given below: where A is a…

Consider matched-filter reception of the two signals s1(t)
and s2(t) as given below:

where A is a constant and T denotes the symbol duration.

a. Determine the transmitted signal energies for binary
symbols 1 and 0.

b. Are these signals correlated? If so, determine the
correlation coefficient between these signals.

c. Draw the block diagram of a matchedfilter receiver for
these two signals, using matched filters with unit energy. Write down the
analytic expressions at appropriate points when the input signal is s1(t) +
w(t), where w(t) is AWGN with zero mean and variance N0/2.

Consider matched-filter reception of the two signals s1(t)
and s2(t) as given below:

where A is a constant and T denotes the symbol duration.

a. Determine the transmitted signal energies for binary
symbols 1 and 0.

b. Are these signals correlated? If so, determine the
correlation coefficient between these signals.

c. Draw the block diagram of a matchedfilter receiver for
these two signals, using matched filters with unit energy. Write down the
analytic expressions at appropriate points when the input signal is s1(t) +
w(t), where w(t) is AWGN with zero mean and variance N0/2.

d. Determine the average SNR at the output of the matched
filter receiver.

e. Determine the average bit error rate when s1(t) is sent
for binary 1 and s2(t) is sent for binary 0.

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