A digital data transmission system has an error probability of 10-5 per digit Find the probability...
A digital data transmission system has an error probability of 10-5 per digit
Find the probability of exactly 1 error in 105 digits.
Find the probability of exactly 2 errors in 105 digits.
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A digital data transmission system has an error probability of
10-5 per digit
Find the probability...
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...
The probability that a bit transmitted through a digital transmission channel is received in error is...
The probability that a bit transmitted through a digital transmission channel is received in error is 0.1. Assume that the transmissions are independent events, and let the random variable X denote the number of bits transmitted UNTIL the FIRST error. (a) What is the name and parameter(s) of the probability distribution of X? (b) Find mean and variance of X. (c) Find P(X ≥ 2). (d) Find P(X ≥ 4|X > 2).
2. A baseband digital transmission system sends rectangular pulses of amplitude +5 or -5 through a...
2. A baseband digital transmission system sends rectangular pulses of amplitude +5 or -5 through a channel at a rate of 2400 bps. Given a noise power spectral density of No 10-3 W/Hz, What would probability of error in sending a bit be? What would the maximum bit rate be if the probability of error must be less than 10 a. b.
Suppose a digital communication system uses a transmission power of 250 mW and a carrier frequency...
Suppose a digital communication system uses a transmission power of 250 mW and a carrier frequency of 10,665,000 Hz. The system has a transmission range of 10 m. Assume that the thermal noise power at the receiver is 25 μW, do-1 m-Y-2. Answer the following: a. What is the received signal power? Express your result in Watts and in dBm b. What is the SNR at the receiver's antenna? Express your result in dB. Using the BER curve of Receiver...
4- A binary communication channel introduces a bit error in a transmission with 10 pts probability...
4- A binary communication channel introduces a bit error in a transmission with 10 pts probability 0.01. Let X be the number of errors in 10 independent transmissions. (a) Find the pmf of X if X takes on value in the set Sx-(1,2,3,4,53. (b) Find the mean, the mean square, and the variance of X. 10 t.
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...
1. A digital data transmission system selects one of the digits 0,1,2, or 3 to transmit...
1. A digital data transmission system selects one of the digits 0,1,2, or 3 to transmit through a channel with prior probabilities 0.4, 0.2, 0.2, and 0.2, respectively. The conditional probabilities of receiving the digits 0,1,2 or 3 is transmitted are given in the following table or 3 given that a 0,1,2 P(YreceivedXtransmitted) Xi0 0.95 2 3 0.02 0.02 0.01 1 0.005 0.98 0.005 0.01 2 0.01 0.01 0.97 0.01 3 0.02 0.03 0.02 0.93 Compute the following posterior probabilities:...
STATISTICAL TECHNIQUES c) For a certain internet connection, there is an average of 1 transmission error...
STATISTICAL TECHNIQUES c) For a certain internet connection, there is an average of 1 transmission error per 20 seconds What is the probability of, i. more than 1 I tammisio emor during half a minui of conection? 12 marks) ii. less than 10 transmission error during 5 minutes of connection? 12 marks] ii less than 200 transmission errors during an hour of connection? 2 marks]
Bit Error Probability: Consider the following model for a digital communication system: r =√Es + ...
Bit Error Probability: Consider the following model for a digital communication system: r =√Es + n where s {-1 1) with equal probability, and n is additive white Gaussian noise with zero mean and variance 1, and E is the signal to noise ratio. The receiver decides s = +1 if r > 0, and decides s = -1, if r <0. Estimate the error probability using Monte Carlo simulations by generating many samples and making as many decisions for...
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission....
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission. The channel has no attenuation and the noise is AWGN with power-spectral density NO/2. The probability of transmitting sı(t) is twice that of sz(t). S1() T12 O TV2 T Figure 1 2 a) Find an appropriate orthonormal basis for the representation of the signals. 7 b) Plot the constellation diagram in term of average symbol power. c) Draw the decision regions assuming equally likely...
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...
2. A baseband digital transmission system sends rectangular pulses of amplitude +5 or -5 through a channel at a rate of 2400 bps. Given a noise power spectral density of No 10-3 W/Hz, What would probability of error in sending a bit be? What would the maximum bit rate be if the probability of error must be less than 10 a. b.
Suppose a digital communication system uses a transmission power of 250 mW and a carrier frequency of 10,665,000 Hz. The system has a transmission range of 10 m. Assume that the thermal noise power at the receiver is 25 μW, do-1 m-Y-2. Answer the following: a. What is the received signal power? Express your result in Watts and in dBm b. What is the SNR at the receiver's antenna? Express your result in dB. Using the BER curve of Receiver...
4- A binary communication channel introduces a bit error in a transmission with 10 pts probability 0.01. Let X be the number of errors in 10 independent transmissions. (a) Find the pmf of X if X takes on value in the set Sx-(1,2,3,4,53. (b) Find the mean, the mean square, and the variance of X. 10 t.
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...
1. A digital data transmission system selects one of the digits 0,1,2, or 3 to transmit through a channel with prior probabilities 0.4, 0.2, 0.2, and 0.2, respectively. The conditional probabilities of receiving the digits 0,1,2 or 3 is transmitted are given in the following table or 3 given that a 0,1,2 P(YreceivedXtransmitted) Xi0 0.95 2 3 0.02 0.02 0.01 1 0.005 0.98 0.005 0.01 2 0.01 0.01 0.97 0.01 3 0.02 0.03 0.02 0.93 Compute the following posterior probabilities:...
STATISTICAL TECHNIQUES c) For a certain internet connection, there is an average of 1 transmission error per 20 seconds What is the probability of, i. more than 1 I tammisio emor during half a minui of conection? 12 marks) ii. less than 10 transmission error during 5 minutes of connection? 12 marks] ii less than 200 transmission errors during an hour of connection? 2 marks]
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission. The channel has no attenuation and the noise is AWGN with power-spectral density NO/2. The probability of transmitting sı(t) is twice that of sz(t). S1() T12 O TV2 T Figure 1 2 a) Find an appropriate orthonormal basis for the representation of the signals. 7 b) Plot the constellation diagram in term of average symbol power. c) Draw the decision regions assuming equally likely...
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