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Now assume the system is binary and employs on-off signaling (i.e., s1(t) = s(t) and s2(t) = 0).
The received signal consists of a direct component, a scattered component, and the additive white Gaussian noise.
Let Zn + ( ½ , ½ ,..., ½ ) denote the n-dimensional integer lattice shifted by ½, and let R be an n-dimensional hypercube centered at the origin with side .
Determine the optimal error probability for this system, using a coherent detector.
Evaluate the performance of the four-phase demodulator for AWGN if no account is taken of the memory in the modulation.
Determine the probability of error for each repeater and the required eb/N0 to achieve this performance in AWGN.
The transmitting and receiving antennas are parabolic dishes with diameter D = 3 m.
The transmitting and receiving antennas are parabolic, each having a diameter of 1 m.
Determine the received power level at the output of the receiver antenna.
If the desired eb/N0 = 10 dB, determine the maximum bit rate that the spacecraft can transmit.
A satellite in geosynchronous orbit is used as a regenerative repeater in a digital communication system.
Sketch the equivalent realization of the binary PSK receiver in Figure that employs a matched filter instead of a correlator.
Determine the closed-loop transfer function H(s) and its gain at f = 0.
Determine the system function G(s) and express the time constants t1 and t2 in terms of the circuit parameters.
Determine a union bound for the probability of a symbol error as a function of eb/N0.
Determine the average probability of a symbol error as a function of eb/N0 where Es is the energy per symbol, ½ N0 is the power spectral density of the AWGN.
Determine the value of the output of the matched filter at the sampling instant t = nTc.
A Hadamard matrix is defined as a matrix whose elements are ±1 and whose row vectors are pairwise orthogonal.
What is the optimum maximum-likelihood detector for the two possible transmitted signals?
Sketch a block diagram of the receiver (demodulator and detector) that employs noncoherent (envelope) detection.
If the data sequence is uncorrelated, determine and sketch the power density spectrum of the signal transmitted by DPSK.
Assuming that it is desired to transmit information at the rate of R bits/s, determine the required transmission bandwidth .
Three equiprobable messages m1, m2, and m3 are to be transmitted over an AWGN channel with noise power spectral density ½ N0.
Design an optimal matched filter receiver for this system. Carefully label the diagram and determine all the required parameters.
What is the expression for the threshold value rth such that forr > rth the optimal detector makes a decision in favor of s1(t)?