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Now suppose that P1 = 10P2 and that the signal from user 2 is decoded first. Determine the sum capacity of the two-user system.
Consider the set A of all divisors of the number 100 and the binary relation ? over A defined by x?y if and only if x divides y.
Consider the set A of all divisors of the number 8 and the binary relation ? over A defined by x?y if and only if x divides y
Define the complete disjunctive normal form for the logic complement f ?of f.
Determine the complete disjunctive and conjunctive forms of the function f(x1, x2, x3, x4) .
Prove the equivalence of these functions also by using the complete conjunctive normal form.
Determine the decision variables for the separate ML decoding of the symbols.
Determine the probability of error for the detector with input metrics given by Equation for BPSK modulation and a Rayleigh fading channel.
For a Rayleigh fading channel and BPSK modulation, determine the performance of a MISO (2, 1) system.
Sketch the block diagram configuration of the transmitter and the receiver, illustrating the modulation and demodulation operations.
Determine the covariance matrix of the noise at the output of the detector.
Find the optimal power allocation and channel capacity when H is known at the transmitter and the receiver.
Determine and compare the outage probabilities for the two systems. Which MISO system has a lower outage probability for the same SNR?
Determine the matrix GH G, and thus show that the code is not orthogonal.
Consider a TDMA system where each user is limited to a transmitted power P, independent of the number of users.
Plot the graph of the points (C2,C1) as a varies in the range 0 = a =
Determine the variances of n1 and n2 and the covariance of n1 and n2.
Determine and plot the probability of error for hard decision decoding. Assume that the transmitted waveforms corresponding to the coded bits fade independently
Determine the product distance and the free Euclidean distance of the coded modulation scheme .
Consider an (NT , NR) = (2, 1) MIMO system that employs the Alamouti code to transmit a binary sequence using binary PSK modulation.
Determine the capacity of a MIMO system that employs selection diversity.
Determine the capacity of this SIMO channel when h is known at the receiver only.
Determine the capacity of this MISO channel when h is known at the receiver only.
Determine the average probability of error Pb for the demodulator that employs a filter matched to s1(t).