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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)?
Assuming an antipodal signaling scheme (X = ±A) and a constant ? = 1, what is the optimal decision rule and the resulting error probability?
In a binary communication system two equiprobable messages s1 = (1, 1) and s2 = (-1, -1) are used.
Two equiprobable messages are transmitted via an additive white Gaussian noise channel with noise power spectral density of N0/2 = 1.
In a block diagram, give the precise specifications of the optimal receiver using matched filters. Label the block diagram carefully.
What is the best power allocation strategy by the transmitter,what is the optimal decision rule at the receiver, and what is the resulting error probability?
In the second path the signal is subject to a random amplification A and additive noise n2(t). The random variable A takes values ±1 with equal probability.
Suppose the signal s(t) is passed through a correlator that correlates the input s(t) with s(t).
Express this error probability in terms of a single integral, and thus show that the symbol error probability for a biorthogonal signal set.
Suppose that this signal is corrupted by AWGN, which is represented by its equivalent lowpass form z(t).