[PDF]
ECE 630: Statistical Communication Theory
Prof. B.-P. Paris
Homework 6
Due: March 9, 2017
with amplitude A = .
We will be comparing the performance of different receiver frontends. Each of the frontends is of the form
The backend decides in all cases
where A > 0.
The receiver frontend computes the integral of the received signal
and the backend decides which signal was transmitted using the following decision rule
where the threshold γ > 0 is the subject of this problem.
The a priori probabilities for signals s_{0}(t) and s_{1}(t) are π_{0} = and π_{1} = , respectively.
The receiver frontend computes the integral of the received signal
Give an expression for the average probability of error in terms of the threshold γ.
Assume that the (not optimal) receiver frontend computes the integral of the received signal
with γ = N_{0}T ⋅ ln(). Note the square in the decision rule!