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Consider a wireless communication channel where packets are sent from a transmitter to the receiver. For...
In a communication system, packets are transmitted from a sender to a receiver. Each packet is...
In a communication system, packets are transmitted from a sender to a receiver. Each packet is received with no error with probability p independently from other packets (with probability 1−p the packet is lost). The receiver can decode the message as soon as it receives k packets with no error. Compute the probability that the sender sends exactly n packets until the receiver can decode the message successfully
After traversing a wireless error filled channel packets arrive at a network node according a Poisson...
After traversing a wireless error filled channel packets arrive at a network node according a Poisson Process with rate λ . These packets could have corrupted bits due to the wireless channel which has a bit error probability p . A packet is said to arrive at the node successfully if no bits are in error. The number of bits in a given packet is Poisson distributed with mean μ . Assume that packets are not retransmitted. Find the rate...
A data packet is transmitted over a lossy wireless channel with packet error rate 0.3. Most...
A data packet is transmitted over a lossy wireless channel with
packet error rate 0.3. Most communication systems adopt
the Automatic Repeat reQuest (ARQ) protocol. That is, if a packet
is successfully (with probability 0.7) or unsuccessfully
(with probability 0.3) received, the receiver respectively
sends a one-bit ‘ACK’ or ‘NAK’ message (over a separate feedback
channel) to the transmitter. After receiving an ‘ACK’, the
transmitter will move on to the next packet transmission;
otherwise, the transmitter will re-transmit the same...
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.,...
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)
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...
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...
1. For TCP end-to-end flow control, suppose the capacity of the receiver buffer is 10 packets. Su...
1. For TCP end-to-end flow control, suppose the capacity of the
receiver buffer is 10 packets. Suppose the packets that are being
queued in the receiver buffer are packets 4, 5, 6, 7, 8, 10, 11.
What is the advertised window size the receiver sent to the sender?
Suppose packet 12 is the last packet sent by the sender. What’s the
effective window size at the sender? Can the sender send out packet
13 at this moment? How about packet...
Relays are commonly used in communication systems to extend the range of a transmitter (source), but...
Relays are commonly used in communication systems to extend the range of a transmitter (source), but they are also used to increase link reliability. A decode-and-forward (DF) relay receives a message from the source, checks for errors, and then retransmits the same message to the receiver (destination). The destination now has two chances to decode the message without errors: on the direct source-destination (s-d) link and over the source-relaydestination (s-r-d) path. If an error occurs on both the s-d link...
QUESTION 7 The Direct Routing implementation of wireless network mobility results in the "triangle routing problem",...
QUESTION 7 The Direct Routing implementation of wireless network mobility results in the "triangle routing problem", where a correspondent needs to send all communications through the destination node's Home Agent. True False 10 points QUESTION 8 ARP requests are sent as a broadcast message to the network True False QUESTION 10 Which of the following assertions is true regarding the 802.11 protocol? The 802.11 protocol uses Collision Detection like the Ethernet protocol If a node is transmitting data using...
A data packet is transmitted over a lossy wireless channel with
packet error rate 0.3. Most communication systems adopt
the Automatic Repeat reQuest (ARQ) protocol. That is, if a packet
is successfully (with probability 0.7) or unsuccessfully
(with probability 0.3) received, the receiver respectively
sends a one-bit ‘ACK’ or ‘NAK’ message (over a separate feedback
channel) to the transmitter. After receiving an ‘ACK’, the
transmitter will move on to the next packet transmission;
otherwise, the transmitter will re-transmit the same...
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.,...
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)
1. For TCP end-to-end flow control, suppose the capacity of the
receiver buffer is 10 packets. Suppose the packets that are being
queued in the receiver buffer are packets 4, 5, 6, 7, 8, 10, 11.
What is the advertised window size the receiver sent to the sender?
Suppose packet 12 is the last packet sent by the sender. What’s the
effective window size at the sender? Can the sender send out packet
13 at this moment? How about packet...
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