Consider a Slotted-ALOHA system with 10 nodes numbered 1 through 10. Each node transmits a packet in a slot with probability 0.3. Consider any time slot and provide the expressions for the following.
as 0.3 is transmission probability 7/10 will be probability that it does not transmit
a.(3/10) (7/10)9 probability that node 7 will transmit
b.1- (7/10)10 any transmission will be successful
c.(7/10)10
d. 10 c 2 (3/10)2 (7/10)8
e.(3/10)3 (7/10)7
f.10 c 3 (3/10)3
g. (3/10)+(3/10)2+(3/10)3+(3/10)4+(7/10)10
h.(3/10)2(7/10)8+(3/10)3(7/10)7+.......+(3/10)10
Consider a Slotted-ALOHA system with 10 nodes numbered 1 through 10. Each node transmits a packet...
from computer networks a system approach book please answer the following .. .. (Slotted ALOHA): Suppose there are N nodes in a slotted ALOHA network. Every node is trying to transmit a packet at every time slot with probability p, independently of each other. It takes one time slot to transmit a packet. (a) Express the offered load (the average number of packets per time slot that are arriving to the network) in terms of N and p. (b) Showthethroughput(theaveragenumberofsuccessfullytransmittedpacketspertimeslot)isequaltoNp(1−p)N−1....
Problem 4 Suppose three active nodes A, B, and C are competing for accessing a channel using slotted ALOHA. Assume each node has infinitely many packets to send. Each node transmits in each slot with probability p. The slots are numbered slot 1, slot 2, slot 3, etc. Give the probability for each of the following events a) node B succeeds in slot 4; b) node B succeeds for the first time in slot 4; c) any node succeeds in...
Suppose three active nodes - Nodes A, B and C - are competing for access to a channel using slotted ALOHA. Assume each node has an infinite number of packets to send. Each node attempts to transmit in each slot with probability p. The first slot is numbered 1, the second slot is numbered 2, and so on. What is the probability that node A succeeds for the first time in slot 5?
8- Consider an ALOHA system with 10 users, where each user transmits with probability pt = 25%. a) What is the success probability for user #1 [5 pts] b) What is the success probability for any user (u1,u2,....u10) no matter which one: (10 pts] c) In order to increase the success probability would you recommend increasing or decreasing the transmission probability Pt [5 pts] 9-Answer question 8 for a slotted ALOHA system. [20 pts] Slotted Aloha efficiency Let us assume...
Solve question 9 with a,b and c 8- Consider an ALOHA system with 10 users, where each user transmits with probability Pt = 25%. a) What is the success probability for user #1 [5 pts] b) What is the success probability for any user (u1,u2,....u10) no matter which one: (10 pts] c) In order to increase the success probability would you recommend increasing or decreasing the transmission probability Pt [5 pts] 9-Answer question 8 for a slotted ALOHA system. [20...
2. Consider two wireless transmitters, A and B, that are near each other. In each time slot, each transmitter sends a message with probability 1/2 and is otherwise idle. Whether or not B transmits in a time slot is independent of whether A transmits in the slot. Simultaneous transmissions result in loss of the messages (called a collision). Let X be the number of time slots until the first message gets through. (a) Describe the underlying sample space 2 of...
2. Consider a set of intersecting rings as in the following figure. Here, a small square represents a node, including nodes that can transfer packets between rings, and each ring has an arrow that indicates the direction of packet flow on that ring. Each ring is labeled by a lower case Greek letter with the first ring labeled α . 2.1. Display the adjacency matrix for the network in the figure. 2.2. Which, if any, nodes are equivalent on the...
In WiFi systems, nodes adopt CSMA MAC protocol to access to the shared media through contention. At the beginning, CWmin # 31 meaning that there are 32 slots available for users. Answer the following questions. (All answers limit to 1-2 sentences please.) 1) At the beginning, if node A pick up the back off counter BO-10, what is probability to win the channel contention ? However, after 3 slots node A detected that some other node began to sent package....
1. A 6-node network is connected into an Ethernet switch implementing a star topology. Nodes are labeled A through F, and their MAC addresses follow M-A, M-B, and so on. Suppose that the following frames are sent a. A sends a frame to E b. Ereplies with a frame to A c. F sends a frame to B d. B replies with a frame to F e. D sends a frame to A The Ethernet switch table is initially empty....
1. (ch.7) A PCM/TDM system multiplexes 24 voice band channels. Each sample is encoded into 7 bits and a frame consists of one sample from each channel. A framing bit is added to each frame. The sampling rate is 9000 samples/sec. What is the line speed in bits per second? 2. (ch.9) An asynchronous protocol uses 1 start bit, 7 data bits, 2 stop bits and 1 even parity bit for each character. a. How many bits are in a...