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Consider the transmission of data via PAM over a voice-band telephone channel that has a bandwidth of 3000 Hz.
A precoder for a partial response signal fails to work if the desired partial response at n = 0 is zero modulo M.
The binary sequence 10010110010 is the input to a precoder whose output is used to modulate a duobinary transmitting filter.
Determine and sketch the envelope (group) delay of the filter as a function of frequency.
Determine the frequency-response characteristic of the transmitting and receiving filters that yield zero ISI at a rate of 1/T symbols/s.
Determine the (magnitude) frequency-response characteristic of the optimum transmitting and receiving filters.
The ISI term is a random variable that takes the values -1 2 , 0, and ½ with probabilities ¼ , ½ , and ¼ , respectively.
If the signal pulse used is rectangular, determine the loss in SNR due to the mistiming.
Determine the output of the matched filter at t = kT , k = 0, ±1, ±2, ... , where T is the symbol duration.
What is the highest bit rate that can be transmitted without ISI?
A channel is said to be distortion less if the response y(t) to an input x(t) is K x(t - t0), where K and t0 are contants.
To reduce the level of inter symbol interference to a relatively small amount, we impose the condition that x(T ) = 0.01, where T is the symbol interval.
Generate 5000 samples of the digital signal sequence xd (n) and compute and plot the power spectral density of this modulated signal.
A 4-kHz band pass channel is to be used for transmission of data at a rate of 9600 bits/s. If ½ N0 = 10-10 W/Hz is the spectral density.
Determine the bit rate that can be transmitted through a 4-kHz voice-band telephone (bandpass) channel if the modulation methods .
Design an M = 4 PSK (quadrature PSK or QPSK) system for transmitting data at a rate of 2400 bits/s and a carrier frequency fc = 1800 Hz.
A voice-band telephone channel passes the frequencies in the band from 300 to 3300 Hz. It is desired to design a modem that transmits at a symbol rate of 2400.
Determine the value of Ps if it is desired to expand the bandwidth of the system to 10 kHz, while maintaining the same SNR at the detector.
Determine G(D) for the RSCC equivalent to this code, and sketch a block diagram of it.
If the code is used on a channel with hard decision Viterbi decoding, assuming the crossover probability of the channel is p = 10-6.
Determine the transfer function T (Y, Z, J ), and from this, specify the minimum free distance.
A k = 1, K = 3, and n = 2 convolutional code is characterized by g1 = [001] and g2 = [101].
Assuming that this code is used for binary data transmission over a binary symmetric channel with crossover probability of 10-3.
Determine the transfer function T (Y, Z) for this code, and find its free distance.
Determine the encoded sequence for the input sequence u = (1001111001) using G(D) found in part 1.