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Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally...
A 2-bit binary sequence is transmitted over a noisy communication channel. The noise corrupts the signal...
A 2-bit binary sequence is transmitted over a noisy communication channel. The noise corrupts the signal in the sense that a transmitted digit transmitted can be flipped with probability 0.1. It has been observed that, across a large number of transmitted signals, the 0s and 1s are transmitted in the ratio 3:4. Given that the sequence 01 is received, calculate the probability that this sequence was transmitted.
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise...
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise given as, 0, otherwise with B-200 kHz and N 10W Hz. The message bandwidth is 10 kHz and its average power is 10 W. Assume A,-1, 100kHz, and the channel attenuates signal power by a factor of 1000 (-30 dB). Assume that a suitable band-pass filter is used at the receiver to limit out-of-band noise. (a) Determine the average signal power at the receiver...
A message is sent over a noisy channel. The message is a sequence 1,2,... .*n Of...
A message is sent over a noisy channel. The message is a sequence 1,2,... .*n Of n bits (ri E 0, 1)). Since the channel is noisy, there is a chance that any bit might be corrupted, resulting in an error (a 0 becomes a 1 or vice versa). Assume that the error events are independent. Let p be the probability that an individual bit has an error (0 < p < 1/2). Let yì,U2, . . . ,Un be...
6.5A sinusoidal signal is transmitted over a noisy transmission link to a remote correlator acting as...
6.5A sinusoidal signal is transmitted over a noisy transmission link to a remote correlator acting as a receiver. Figure Prob. 5 shows a typical autocorrelation function. Use the figure to estimate the following quantitics: (a) Signal power (b) Noise power (c) Signal-to-noise ratio in decibels (d) Signal amplitude (e) Signal frequency (f) Noise standard deviation (assume zero mean) Hint: use eqns (6.27) and [6.33 124 SIGNALS AND NOISE IN MEASUREMENT SYSTEMS Figure Prob. 5. 12 10 Time delay β ms...
4. An information source generates one of 4 possible levels namely -4, 0, 4, and 8 with equal probabilities. These levels are transmitted over a channel which adds Gaussian noise with zero means and...
4. An information source generates one of 4 possible levels namely -4, 0, 4, and 8 with equal probabilities. These levels are transmitted over a channel which adds Gaussian noise with zero means and variance of 1. The noise is independent of the signal. The receiver employs a ML decision rule. Clearly identify, the decision rules at the receiver and calculate the probability of error. -4 4
4. An information source generates one of 4 possible levels namely -4, 0,...
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2)....
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2). a(n) Apr(t - nT) exp (j2 fet)}, where the t-T./2 Let the constellation be a(n)e {2,-2,2j,-2j,0. 1. What is the appropriate matched filter to apply for this signal. Draw the optimum receiver 2. What is the average energy of the constellation, i.., E,? 3. Assume the the received signal is r(t)= s(t) +n(t), where n(t) is AWGN with variance 1. Find the error probability...
Consider a noisy communication channel, where each bit is flipped with probability p (the probability that...
Consider a noisy communication channel, where each bit is flipped with probability p (the probability that a bit is sent in error is p). Assume that n−1 bits, b1,b2,⋯,b(n−1), are going to be sent on this channel. A parity check bit is added to these bits so that the sum b1+b2+⋯+bn is an even number. This way, the receiver can distinguish occurrence of odd number of errors, that is, if one, three, or any odd number of errors occur, the...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by 3 dB (from transmitter to receiver). The pulses are coherently de noise w e. tected at the receiver, and the data rate is 56 kbit/s. Assume Gaussian no N 10 Watt Hz. What is the minimum amount of power needed at the trans in order to maintain a bit-error probability of PB 10-32 with
Problem No. 1: Let us consider that a baseband message signal m(t)=4cos(2000xt) has to be transmitted...
Problem No. 1: Let us consider that a baseband message signal m(t)=4cos(2000xt) has to be transmitted from a location 'A' to its destination 'B' using a carrier signal given by c(t)=2cos(10000#t). The signal s() m(t)c(i) is the modulated signal which will be transmitted. Consider that the signal is transmitted through a noiseless channel and received at the receiver at location 'B' as the signal s(t). Based on this information, perform the following tasks. 1. Find, sketch and label the spectrum...
Problem 6: Nonlinear Channel Suppose a transmitter sends a signal X over a channel, where X is exponentially distributed with mean 1. The channel non-linearly distorts the transmitted signal, such th...
Problem 6: Nonlinear Channel Suppose a transmitter sends a signal X over a channel, where X is exponentially distributed with mean 1. The channel non-linearly distorts the transmitted signal, such that the signal at the receiver is given by Y-1-e-Ax, where λ > 0 is a constant. The receiver then estimates X using a linear estimator X based on Y which minimizes the mean squared error between X and X. Find this linear estimator
Problem 6: Nonlinear Channel Suppose a...
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise given as, 0, otherwise with B-200 kHz and N 10W Hz. The message bandwidth is 10 kHz and its average power is 10 W. Assume A,-1, 100kHz, and the channel attenuates signal power by a factor of 1000 (-30 dB). Assume that a suitable band-pass filter is used at the receiver to limit out-of-band noise. (a) Determine the average signal power at the receiver...
A message is sent over a noisy channel. The message is a sequence 1,2,... .*n Of n bits (ri E 0, 1)). Since the channel is noisy, there is a chance that any bit might be corrupted, resulting in an error (a 0 becomes a 1 or vice versa). Assume that the error events are independent. Let p be the probability that an individual bit has an error (0 < p < 1/2). Let yì,U2, . . . ,Un be...
6.5A sinusoidal signal is transmitted over a noisy transmission link to a remote correlator acting as a receiver. Figure Prob. 5 shows a typical autocorrelation function. Use the figure to estimate the following quantitics: (a) Signal power (b) Noise power (c) Signal-to-noise ratio in decibels (d) Signal amplitude (e) Signal frequency (f) Noise standard deviation (assume zero mean) Hint: use eqns (6.27) and [6.33 124 SIGNALS AND NOISE IN MEASUREMENT SYSTEMS Figure Prob. 5. 12 10 Time delay β ms...
4. An information source generates one of 4 possible levels namely -4, 0, 4, and 8 with equal probabilities. These levels are transmitted over a channel which adds Gaussian noise with zero means and variance of 1. The noise is independent of the signal. The receiver employs a ML decision rule. Clearly identify, the decision rules at the receiver and calculate the probability of error. -4 4
4. An information source generates one of 4 possible levels namely -4, 0,...
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2). a(n) Apr(t - nT) exp (j2 fet)}, where the t-T./2 Let the constellation be a(n)e {2,-2,2j,-2j,0. 1. What is the appropriate matched filter to apply for this signal. Draw the optimum receiver 2. What is the average energy of the constellation, i.., E,? 3. Assume the the received signal is r(t)= s(t) +n(t), where n(t) is AWGN with variance 1. Find the error probability...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by 3 dB (from transmitter to receiver). The pulses are coherently de noise w e. tected at the receiver, and the data rate is 56 kbit/s. Assume Gaussian no N 10 Watt Hz. What is the minimum amount of power needed at the trans in order to maintain a bit-error probability of PB 10-32 with
Problem No. 1: Let us consider that a baseband message signal m(t)=4cos(2000xt) has to be transmitted from a location 'A' to its destination 'B' using a carrier signal given by c(t)=2cos(10000#t). The signal s() m(t)c(i) is the modulated signal which will be transmitted. Consider that the signal is transmitted through a noiseless channel and received at the receiver at location 'B' as the signal s(t). Based on this information, perform the following tasks. 1. Find, sketch and label the spectrum...
Problem 6: Nonlinear Channel Suppose a transmitter sends a signal X over a channel, where X is exponentially distributed with mean 1. The channel non-linearly distorts the transmitted signal, such that the signal at the receiver is given by Y-1-e-Ax, where λ > 0 is a constant. The receiver then estimates X using a linear estimator X based on Y which minimizes the mean squared error between X and X. Find this linear estimator
Problem 6: Nonlinear Channel Suppose a...
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