Suppose a transmitter sends the following binary message: [0 1 0 1 0 0 1 0...
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Suppose a transmitter sends the following binary message: [0 1 0 1 0 0 1 0 1 1 0 0 1 0] The receiver recovers the following message (which includes some bit errors) [0 1 0 1 1 0 1 0 1 1 0 0 1 0] Based on comparing the recovered to transmitted message, what is the bit error rate (probability of error) for this system? |
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Suppose a transmitter sends the following binary message:
[0 1 0 1 0 0 1 0...
ission system sends a "0" bit by transmitting a zero volts signal, and a "1" 7...
ission system sends a "0" bit by transmitting a zero volts signal, and a "1" 7 A binary bit bytransmitting +2 volts signal. The received signal is corrupted by noise and is givern by: Y-X+N, where X is the transmitted signal, and N is a noise voltage with double- exponential pdf given by; 0 1เ The receiver detects the transmitted signal by comparing Y to a threshold voltàge of +1 volts. If Y<+1 then the rcceiver decides that "U" is...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit error in the channel is 10-2 and that a string of 1000 bits is transmitted (a) Calculate the probability that more than three bit errors will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probability that more than three bit errors wil occur in the 1000 transmissions.
Prob.4 A...
5. A binary Z-channel is show in the figure. Assume the input is "0" with probability...
5. A binary Z-channel is show in the figure. Assume the input is "0" with probability p and "1" with probability 1-p. (a) What can you say about the input bit if " is received? (b) Find the the probability that the input was "1" given that the output is "0" 0 Input Output 6. A transmitter randomly sends one of the messages in fa1, a2,.. ,an). The receiver either receives the transmitted message with probability p, or mistakenly receives...
6. A transmitter randomly sends one of the messages in {ai,a2,.., ,an). The receiver either receives...
6. A transmitter randomly sends one of the messages in {ai,a2,.., ,an). The receiver either receives the transmitted message with probability p, or mistakenly receives one of the other messages with equal probabilities, (a) What is the probability of receiving ai at the receiver? (b) If a is received at the receiver, what is the probability that the transmitted message was 1
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...
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...
In a binary communication system with an asymmetric transmitter, bits 0 and 1 are generated with...
In a binary communication system with an asymmetric transmitter, bits 0 and 1 are generated with 0.4 and 0.6 probabilities respectively. The receiver receives the bit stream of data through a noisy channel with the noise mean of zero and variance of 0.2. If the bit amplitudes for 1 and 0 are respectively 0.75 and -0.75, what will be the BER.
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally...
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally likely to be 1 or-1, the noise N follows a normal distribution N(0,4), and the received signal is R-S + N. The receiver concludes that the signal is 1 when R > 0 and-1 when R<0. What is the error probability when one signal is transmitted? ·What is the error probability when one signal is transmitted if we triple the amplitude of the transmitted...
Consider a DS-BPSK spread spectrum transmitter in Figure 2. Let d(t) be a binary sequence 1101...
Consider a DS-BPSK spread spectrum transmitter in Figure 2. Let d(t) be a binary sequence 1101 arriving at a rate of 100 bps, where left most bit is the earliest bit. Let c(t) be the pseudorandom binary sequence 100110111000 with a clock rate of 300 Hz. Assuming a bipolar signaling scheme with binary 'O' and binary 'l' represented by a signal levels -l' and '+1', respectively: d(t) Binary-to-bipolar mapping Binary-to-bipolar mapping 2Pcos(211) (1) BPSK modulator P(t) VZPpt) cos(ft) (b) (c)...
I really need help to understand this Stochastic Models problem. Prob.4 A digital transmission system sends...
I really need help to understand this Stochastic
Models problem.
Prob.4 A digital transmission system sends strings of binarry (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit eror in the channel is 10-2 and that a string of 1000 bits is transmitted. (a) Calculate the probahility that more than three bit erars will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probhability that more than three...
ission system sends a "0" bit by transmitting a zero volts signal, and a "1" 7 A binary bit bytransmitting +2 volts signal. The received signal is corrupted by noise and is givern by: Y-X+N, where X is the transmitted signal, and N is a noise voltage with double- exponential pdf given by; 0 1เ The receiver detects the transmitted signal by comparing Y to a threshold voltàge of +1 volts. If Y<+1 then the rcceiver decides that "U" is...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit error in the channel is 10-2 and that a string of 1000 bits is transmitted (a) Calculate the probability that more than three bit errors will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probability that more than three bit errors wil occur in the 1000 transmissions.
Prob.4 A...
5. A binary Z-channel is show in the figure. Assume the input is "0" with probability p and "1" with probability 1-p. (a) What can you say about the input bit if " is received? (b) Find the the probability that the input was "1" given that the output is "0" 0 Input Output 6. A transmitter randomly sends one of the messages in fa1, a2,.. ,an). The receiver either receives the transmitted message with probability p, or mistakenly receives...
6. A transmitter randomly sends one of the messages in {ai,a2,.., ,an). The receiver either receives the transmitted message with probability p, or mistakenly receives one of the other messages with equal probabilities, (a) What is the probability of receiving ai at the receiver? (b) If a is received at the receiver, what is the probability that the transmitted message was 1
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...
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...
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally likely to be 1 or-1, the noise N follows a normal distribution N(0,4), and the received signal is R-S + N. The receiver concludes that the signal is 1 when R > 0 and-1 when R<0. What is the error probability when one signal is transmitted? ·What is the error probability when one signal is transmitted if we triple the amplitude of the transmitted...
Consider a DS-BPSK spread spectrum transmitter in Figure 2. Let d(t) be a binary sequence 1101 arriving at a rate of 100 bps, where left most bit is the earliest bit. Let c(t) be the pseudorandom binary sequence 100110111000 with a clock rate of 300 Hz. Assuming a bipolar signaling scheme with binary 'O' and binary 'l' represented by a signal levels -l' and '+1', respectively: d(t) Binary-to-bipolar mapping Binary-to-bipolar mapping 2Pcos(211) (1) BPSK modulator P(t) VZPpt) cos(ft) (b) (c)...
I really need help to understand this Stochastic
Models problem.
Prob.4 A digital transmission system sends strings of binarry (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit eror in the channel is 10-2 and that a string of 1000 bits is transmitted. (a) Calculate the probahility that more than three bit erars will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probhability that more than three...
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