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Information bits {0,1} are sent over binary symmetric communication channel with conditional probabilities P(YX) as shown...
8. There are three urns. Urnl contains 2 white and 3 black marbles, Urn2 contains 3...
8. There are three urns. Urnl contains 2 white and 3 black marbles, Urn2 contains 3 white and 2 black marbles, and Urn3 contains 1 white and 4 black marbles. First, the urn is selected equally likely, than a ball is drawn from the urn. a) We know that a white marble is chosen. What is the probability that the marble came from Urn2? b) We know that a black marble is chosen. What is the probability that the marble...
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.
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...
Let us consider a binary symmetric channel, as shown in Figure 1, where the probabilities of the input X are Pr(X-0] =...
Let us consider a binary symmetric channel, as shown in Figure 1, where the probabilities of the input X are Pr(X-0] = m and Pr(X-1-1-m, and the error probability during the transmission from X and Y is p. 0 1-p Figure 1: A typical binary symmetric channel, where the input is X and the output is Y. a) Given that p-1/3 and m-3/4, find H(X), H (Y), H (YİX), and 1(X:Y). (8 marks) b) Still given p = 1 /3....
Consider a binary communication channel transmitting coded words of n bits each. Assume that the probability...
Consider a binary communication channel transmitting coded words of n bits each. Assume that the probability of successful transmission of a single bit is p (and the probability of an error is q=1-p), and that the code is capable of correcting up to e (where e>= 0) errors. If we assume that the transmission of successive bits is independent, then what is the probability of successful word transmission? Hint: the word is successfully transmitted if there are e or fewer...
(2) In binary communication system, we send "0s and ""s and due to noise and channel distortion r...
(2) In binary communication system, we send "0s and ""s and due to noise and channel distortion receiver sometimes makes errors with probability p. We also send these information bits in the form of packets (e.g., group of 10 bits) i) What is the probability of having a packet error that carries 100 bits of information? İİ) What is the probability of having at least 2 bit errors in a 100-bit packet?
(2) In binary communication system, we send "0s...
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...
Exercise 1 Assume that a binary symmetric channel is used in this question as shown in fig. 1 I-p...
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Exercise 1 Assume that a binary symmetric channel is used in this question as shown in fig. 1 I-p 0 0 Alice (encoder) Bob (decoder) 1 1-P Figure 1 The Binary symmetric channel where the probability of a bit being wrongly decoded by Bob is p i) Two codes are proposed: a...
3. A data packet containing 18 bits is sent over a noisy communication channel. The probability...
3. A data packet containing 18 bits is sent over a noisy communication channel. The probability that the k-th bit is received correctly at the destination is 1 - p, and, therefore, it is erased with probability p. Erasures are independent over time. (a) 1 pt What is the probability that exactly 7 bits are erased from this packet? (b) 1 pt What is the maximum value of p such that the probability that the packet is received correctly (i.e.,...
For a digital communication system, (i) if the energy per bit is 12 dB and the...
For a digital communication system, (i) if the energy per bit is 12 dB and the noise level is 8 dB, what is the spectral efficiency? (ii) If the channel bandwidth increases, what will happen to the spectral efficiency and Eb/N0. (iii) 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 th e bit stream of data through a noisy channel with the noise mean...
8. There are three urns. Urnl contains 2 white and 3 black marbles, Urn2 contains 3 white and 2 black marbles, and Urn3 contains 1 white and 4 black marbles. First, the urn is selected equally likely, than a ball is drawn from the urn. a) We know that a white marble is chosen. What is the probability that the marble came from Urn2? b) We know that a black marble is chosen. What is the probability that the marble...
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...
Let us consider a binary symmetric channel, as shown in Figure 1, where the probabilities of the input X are Pr(X-0] = m and Pr(X-1-1-m, and the error probability during the transmission from X and Y is p. 0 1-p Figure 1: A typical binary symmetric channel, where the input is X and the output is Y. a) Given that p-1/3 and m-3/4, find H(X), H (Y), H (YİX), and 1(X:Y). (8 marks) b) Still given p = 1 /3....
(2) In binary communication system, we send "0s and ""s and due to noise and channel distortion receiver sometimes makes errors with probability p. We also send these information bits in the form of packets (e.g., group of 10 bits) i) What is the probability of having a packet error that carries 100 bits of information? İİ) What is the probability of having at least 2 bit errors in a 100-bit packet?
(2) In binary communication system, we send "0s...
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...
I need it urgently. Kindly provide me in neat and clean. Thanks
in advance.
This information is complete and if You think info is incomplete
than kindly mention.
Exercise 1 Assume that a binary symmetric channel is used in this question as shown in fig. 1 I-p 0 0 Alice (encoder) Bob (decoder) 1 1-P Figure 1 The Binary symmetric channel where the probability of a bit being wrongly decoded by Bob is p i) Two codes are proposed: a...
3. A data packet containing 18 bits is sent over a noisy communication channel. The probability that the k-th bit is received correctly at the destination is 1 - p, and, therefore, it is erased with probability p. Erasures are independent over time. (a) 1 pt What is the probability that exactly 7 bits are erased from this packet? (b) 1 pt What is the maximum value of p such that the probability that the packet is received correctly (i.e.,...
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