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In a digital transmission channel, a focused study is conducted for the first 5 bits transmitted....
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).
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...
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...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A p(t) 0t< Th sending 1 sending 0 The bit duration is Th second, and the pulse shape is 2t p(t) = 1 - Ть 0 tT Here data bits 0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2. (a) Find the optimum receiver filter h(t) for sampling instant tm = Th and sketch h(t) in the time domain....
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...
The NJ Department of Transportation conducted a study to find the average amount of time car...
The NJ Department of Transportation conducted a study to find the average amount of time car drivers spend commuting during weekends. They surveyed 196 car drivers and the study found out that the driver’s population spent an average of 13 hours commuting with a standard deviation of 11 hours. (a) What is the standard error of the mean? (b) Compute the probability the sample mean is greater than 15 hours? (c) Compute the probability the sample mean is less than...
You have conducted a case-control study to determine the association between exposure to lead and development...
You have conducted a case-control study to determine the association between exposure to lead and development of cognitive disorders. Exposure data were collected from measuring blood samples and outcomes data from medical records. Participants were randomly selected to be included into the study. The investigator who obtained the exposures and outcomes data was blinded to the outcome status of the participant. In your study, you find an OR of 1.01. However, the actual association between exposure to lead and cognitive...
Voice-transmission involves streaming of packets on a digital communication link wherein the statistics of occurrence of...
Voice-transmission involves streaming of packets on a digital communication link wherein the statistics of occurrence of bits in each packet can be considered as of approximately similar bit- rate - (constant bit rate (CBR) transmission type) Suppose a mix of such voice packets appears randomly in a grouped set of ten (10) types in a transmission; and, each group indexed as (i- 1, 2, ..., 10) corresponds to a value of bit-rate depicting the RV, (Ri, in kbps) each with...
Dr. X conducted an experiment to study the effects of massed versus distributed practice on memory. Ten participants were randomly assigned to study a short chapter of a psychology text during either...
Dr. X conducted an experiment to study the effects of massed versus distributed practice on memory. Ten participants were randomly assigned to study a short chapter of a psychology text during either a single 3-hour session or 3 one-hour sessions separated by 24 hours. Five people were in the Massed condition and five in the Distributed condition. Twenty-four hours after the study session(s) ended, the participants took an examination on the information in the chapter and the number of correct...
2). a.b. A probability experiment is conducted in which the sample space of the experiment is...
2).
a.b.
A probability experiment is conducted in which the sample space of the experiment is S = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F= {7, 8, 9, 10, 11, 12}, and event G = {11, 12, 13, 14). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the...
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...
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...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A p(t) 0t< Th sending 1 sending 0 The bit duration is Th second, and the pulse shape is 2t p(t) = 1 - Ть 0 tT Here data bits 0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2. (a) Find the optimum receiver filter h(t) for sampling instant tm = Th and sketch h(t) in the time domain....
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...
Voice-transmission involves streaming of packets on a digital communication link wherein the statistics of occurrence of bits in each packet can be considered as of approximately similar bit- rate - (constant bit rate (CBR) transmission type) Suppose a mix of such voice packets appears randomly in a grouped set of ten (10) types in a transmission; and, each group indexed as (i- 1, 2, ..., 10) corresponds to a value of bit-rate depicting the RV, (Ri, in kbps) each with...
2).
a.b.
A probability experiment is conducted in which the sample space of the experiment is S = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F= {7, 8, 9, 10, 11, 12}, and event G = {11, 12, 13, 14). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the...
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