4. An information source generates one of 4 possible levels namely -4, 0, 4, and 8 with equal probabilities. These levels are transmitted over a channel which adds Gaussian noise with zero means and...
Consider a binary modulation scheme in which the transmitted signals are 81-0 and s2=A with prior probabilities P the received signal is p and P2 1-p. These signals are sent over an AWGN channel and r=si + n for i = 1,2 where n is a Gaussian noise with zero mean and variance No/2. a) Determine the MAP decision regions for this signaling b) Express the error probability in terms of Q-functions. Consider a binary modulation scheme in which the...
4. One of the two signals s and s,+E is transmitted over a channel with additive noise characterized by the Laplacian pdf f(n) y<e Let the prior message probabilities be: P -P a theshid e, chooses message The receiver compares the channel output y x+n to '0' when y, and chooses '1' when y> e. Derive an expression for the threshold that minimizes the probability of error, (20pts) Note that the Leibnitz rule: B(a F(a)= If(x)dxc (a) A(a) aE(a)fB(a)a)-fA@ 4....