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Nt1310 Unit 3 Assignment 1

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If A and B are two bits arriving at the relay node, with the use of network coding the relay node can add the bits together e.g. mixing A and B here and transmitting A + B to achieve the multicast capacity of 2 bits per second because here transmission of 2 bits (A+B) is taking place Network coding offers definitely an improvement over traditional routing in which the link transmits either A or B instead both bits together. The major difference between communication performed with and without network coding in a wireless system is shown in Figure 1.7. More specifically, Figures 7(a) and 7(b) depict the transmission of packet b1 from A to B and packet b2 from B to A using relay C- when the range of and A and B is r. Figure 7(c) demonstrates that the relay C needs only one extra step to broadcast the linear combination of packets b1 and b2 as opposed to a conventional system which would require two extra steps, i.e, one step to transmit b1 and one step to send b2.

Figure 1.7 Wireless communication without network coding (b) and with network coding (c)

To conclude, we see that network coding in the previous example requires 3 time slots. Physical network coding allows A and B to transmit simultaneously reducing the total number of time slots to 2. This is a great idea to increase data transfer rates by minimizing the time …show more content…
The relay receives the source packets from nodes 1 and 2 and generates coded packets by linearly combining the source packets using coefficients of the finite field GF(2), which has size 2. More specifically, if X1,…,XS are the source packets collected by the relay node, then the coded packet Yd that will be forwarded by the relay at time step d can be expressed

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