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What is the minimum channel capacity required to transmit this source reliably? Can this source be reliably transmitted via a binary symmetric channel?
What is the capacity of the cascade channel AB?
Determine the entropy H(Y ) and comment on what effect the transformation has had on the entropy of X.
Use the Huffman encoding procedure to determine a binary code for the source output.
If the transmission rate from the source to the destination is zero, what is the minimum achievable distortion?
What should be the bandwidth of a Doppler frequency tracking loop if the loop is designed to track Doppler frequency shifts for vehicles traveling at speeds.
Determine the signal and noise components at the input to a fourth-power (M = 4) PLL that is used to generate the carrier phase for demodulation of QPSK.
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 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.
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 .