Certain continuous time communications channel can be modeled as signal plus an independent additive noise

(a) The receiver must process  for the purpose of determining the value of the message random variable M. Argue that a receiver which computes and bases its decision exclusively on, for 

(b) What are the issues in determining which value of  to use? Is there a best value?

Let  be a random process with constant mean  and covariance function,

(a) Show that an m.s. derivative process  exists here.

(b) Find the covariance function of 

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