We are going to start by simulating a random traffic...

We are going to start by simulating a random traffic generated from a single ALOHA node. Remember that in slotted ALOHA users are only allowed to transmit when the central server’s clock ticks. Imagine a node that tosses a coin at every tick, if it gets a face it transmits a packet otherwise it keeps silent. Now imagine that the coin is biased (it is not 50%-50%), with some probability 𝑝. Accordingly, the probability that a node will transmit in a given tick is 𝑝. We will start by generating random packets by using the following command: p=0.1; %Single node traffic intensity x=rand(1,100)

Transcript

00:01 Hello everyone, so let's start the discussion.

00:04 So, first we will see the number of nodes which is known by n.

00:13 It is 4.

00:21 So, the nodes which is known by n is 4.

00:26 And each node transmit with a probability p equal to 40 percent.

00:35 That is 0 .4.

00:38 The probability of a given slot is the probability of that node transmit in a successful slot and that the remaining n minus 1 nodes does not transmit.

00:48 So, in a, the probability of node a's first successful transmission occurs in slot 1.

00:56 That probability node a's first successful transmission equal to p.

01:02 Then the probability of the remaining n1 nodes do not transmit is equal to 1 minus p.

01:12 The probability of the remaining n1 nodes which do not transmit is equal to 1 minus p.

02:13 Now that means in slot 1, the node a transmit the packets, but the remaining three nodes b, c, and d nodes do not transmit the packets.

02:22 Then the probability of node a's first successful transmission occurs in slot 1 is given as below.

02:28 So, here p, 1 minus p, n minus 1 is equal to 0 .4, 1 minus 0 .4, 4 minus 1.

02:50 Now, we just go to 0 .4, 0 .6, 0.

03:12 The next one, so 0 .4, 0 .216 is equal to 0 .0364.

03:33 So, therefore, the probability of node a's first successful transmission occurs in slot 1, 0 .08.

03:43 In b, the probability of node a's first successful transmission occurs in slot 1...

Question

Please give Ace some feedback