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Assume that the source is directly connected to the channel; i.e., no coding is employed. What is the error probability at the destination?
If Huffman codes were designed for the second extension of these sources (i.e., two letters at a time), for which source would you expect a performance .
If a discrete-time memory less Gaussian source with a variance of 4 is to be transmitted by this channel, and for each source output, two uses of channel.
A telephone channel has a bandwidth W = 3000 Hz and a signal-to-noise power ratio of 400 (26 dB).
Consider the binary-input, quaternary-output DMC shown in Figure.
Determine the value of a that maximizes I(X; Y ), i.e., the channel capacity C in bits per channel use, and plot C as a function of p for the optimum value.
Determine the probability of having at least one bit error in a codeword transmitted over the BSC.
What is the absolute minimum Eb/N0 required to be able to transmit the source reliably, assuming that hard decision decoding is employed by the channel .
A discrete memory less source U is to be transmitted over a memory less communication channel.
Channel C1 is an additive white Gaussian noise channel with a bandwidth W, average transmitter power P, and noise power spectral density ½N0.
On the same axis, plot the capacity of the same channel when binary orthogonal signaling is employed.
Compare the average codeword length with the entropy of the source.
Design Huffman codes for each source. Which Huffman code is more efficient?
A DMS has an alphabet of eight letters xi, i = 1, 2,..., 8, with probabilities 0.25, 0.20, 0.15, 0.12, 0.10, 0.08, 0.05, and 0.05..
Assume that we have a binary symmetric channel with crossover probability e = 0.3. Is it possible to transmit the source reliably over the channel?
An additive white Gaussian noise channel has the output Y = X + N, where X is the channel input and N is the noise with probability density function.
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?
If it is further assumed that, on the same channel, a BPSK scheme is employed with hard decision decoding, what will be the minimum required channel .
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?
Determine the system function G(s) and express the time constants t1 and t2 in terms of the circuit parameters.
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.