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 errors in n trials.
Homework Answers
Add Answer to:
Consider a binary communication channel transmitting coded words
of n bits each. Assume that the probability...
A binary communication channel transmits coded words of 5 bits, and each bit in the word...
A binary communication channel transmits coded words of 5 bits, and each bit in the word is independent of the others. The probability an individual bit has an error is 0.03. You are interested in modeling the number of bits in each 5-bit word that has an error. Name the distribution appropriate to model this scenario. Use the proper notation, and include the value(s) of the distribution parameter(s). Enter you response in the textbox below What is the expected number...
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...
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...
(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...
A- A communication channel transmits binary digits, i. e. O's and l's. The probability of error...
A- A communication channel transmits binary digits, i. e. O's and l's. The probability of error in transmission of either digit is 0.2. To reduce the chance of error, we transmit n bits for each digit as follows: a super-symbol 00....0 is transmitted instead of 0 or super symbol 1111....1 is transmitted instead of 1. a) What is the probability of error using the super-symbol strategy with 5 assuming that we receive the correct result if 3 or more of...
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.
Consider a 1-Mbps satellite channel. Frame length is 1000 bits and the probability of an unsucces...
Please, answer all the parts of the question. The subject is
Networking.
Consider a 1-Mbps satellite channel. Frame length is 1000 bits and the probability of an unsuccessfiul frame transmission is P. Assume that the errors on different frames are independent. Neglect acknowledgment transmission time and receiver processing time and assume a sliding window protocol, using the selective-repeat ARQ method of error recovery. Assume t-50x10° seconds (a) What is the average number of transmission per frame N Assume P 0.01...
2. Consider a binary communication channel The probability that a transmitted 0 is received as 1 ...
2. Consider a binary communication channel The probability that a transmitted 0 is received as 1 is ε1- The probability that a transmitted 1 is received as 0 is Assume that the 2 transmitted inputs have equal probabilities. a) (10 points) Find the probability that the output received is 0. b) (10 points) Find the probability that the transmitted input is 0 given that the received output is 1 e) (5 points) Find the probability that the transmitted input is...
Information bits {0,1} are sent over binary symmetric communication channel with conditional probabilities P(YX) as shown...
Information bits {0,1} are sent over binary symmetric communication channel with conditional probabilities P(YX) as shown below. The priory probabilities of 0 and 1 are P(X=0)=0.3, P(X=1)=0.7. The error probability {=0.2. transmitter X 0 1-€ receiver Y 0 ៩ w 1-€ a) If 1 is transmitted, what are the probabilities of receiving 0 and 1? P(Y=0|X=1) and P(Y=1X=1) b) If 0 is received, what are the probabilities that 0 and 1 information bit is transmitted? P(X=0 Y=0) and P(X=1 Y=0)
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.,...
A binary communication channel transmits coded words of 5 bits, and each bit in the word is independent of the others. The probability an individual bit has an error is 0.03. You are interested in modeling the number of bits in each 5-bit word that has an error. Name the distribution appropriate to model this scenario. Use the proper notation, and include the value(s) of the distribution parameter(s). Enter you response in the textbox below What is the expected number...
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) 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...
A- A communication channel transmits binary digits, i. e. O's and l's. The probability of error in transmission of either digit is 0.2. To reduce the chance of error, we transmit n bits for each digit as follows: a super-symbol 00....0 is transmitted instead of 0 or super symbol 1111....1 is transmitted instead of 1. a) What is the probability of error using the super-symbol strategy with 5 assuming that we receive the correct result if 3 or more of...
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.
Please, answer all the parts of the question. The subject is
Networking.
Consider a 1-Mbps satellite channel. Frame length is 1000 bits and the probability of an unsuccessfiul frame transmission is P. Assume that the errors on different frames are independent. Neglect acknowledgment transmission time and receiver processing time and assume a sliding window protocol, using the selective-repeat ARQ method of error recovery. Assume t-50x10° seconds (a) What is the average number of transmission per frame N Assume P 0.01...
2. Consider a binary communication channel The probability that a transmitted 0 is received as 1 is ε1- The probability that a transmitted 1 is received as 0 is Assume that the 2 transmitted inputs have equal probabilities. a) (10 points) Find the probability that the output received is 0. b) (10 points) Find the probability that the transmitted input is 0 given that the received output is 1 e) (5 points) Find the probability that the transmitted input is...
Information bits {0,1} are sent over binary symmetric communication channel with conditional probabilities P(YX) as shown below. The priory probabilities of 0 and 1 are P(X=0)=0.3, P(X=1)=0.7. The error probability {=0.2. transmitter X 0 1-€ receiver Y 0 ៩ w 1-€ a) If 1 is transmitted, what are the probabilities of receiving 0 and 1? P(Y=0|X=1) and P(Y=1X=1) b) If 0 is received, what are the probabilities that 0 and 1 information bit is transmitted? P(X=0 Y=0) and P(X=1 Y=0)
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.,...
Most questions answered within 3 hours.
-
Find the sample size, n, needed to estimate the percentage of
adults who have consulted fortune...
asked 13 minutes ago -
When the relationship is perfect, the regression of Y on X is a
perfect straight line....
asked 29 minutes ago -
What would be the balanced equation for the addition of
concentrated hydrochloric acid to cobalt chloride?...
asked 34 minutes ago -
Regarding a constructive discharge claim, whether an employee's
working conditions were so intolerable that he/she had...
asked 34 minutes ago -
Use a z -Table to find the specified area.
Between the mean and 3.01 deviations from...
asked 36 minutes ago -
If the rate constant for a particular reaction
triples between 35 °C and
70 °C, calculate...
asked 41 minutes ago -
if a magnetic field of 0.634 T is measured a distance of 0.009 m
away from...
asked 45 minutes ago -
In
the past, Ben has been able to hit a baseball at the batting cage
20%...
asked 48 minutes ago -
"Function does not take 0 arguments". I keep getting this error
for my last line of...
asked 49 minutes ago -
C++
What are the advantages of having a full copy of an object over
just having...
asked 49 minutes ago -
The airline you’re flying on has an on-time rate of 76% for the
route you are...
asked 1 hour ago -
The return for Target stock next year will depend on the state
of the economy. The...
asked 1 hour ago