Solve the following problem:
In line-of-sight microwave radio transmission, the signal arrives at the receiver via two propagation paths: the direct path and a delayed path that occurs due to signal reflection from surrounding terrain. Suppose that the received signal has the form r(t) = s(t) + αs(t - T ) + n(t) where s(t) is the transmitted signal, α is the attenuation (α
a. Determine the output of the demodulator at t = T and t = 2T that employs a filter matched to s(t).
b. Determine the probability of error for a symbol-by-symbol detector if the transmitted signal is binary antipodal and the detector ignores the ISI.
c. What is the error rate performance of a simple (one-tap) DFE that estimates α and removes the ISI? Sketch the detector structure that employs a DFE.