[Solved]Q1 Show Using Example Two Dimensional E Horizontal Longitudinal Block Check Parity Schemes Q37127703
Q1. (a) Show using an example, that two-dimensional (i.e. horizontal and longitudinal) block check parity schemes can detect all 3-bit errors in a block 5 Marks] of data. (b) A (14,7) Hamming codeword is sent over a channel with a bit error rate of 5 x 102. Calculate the probability of 4 or more errors occurring in any codeword [4 Marks] (c) Stations are allowed to transmit onto a shared radio channel whenever they like (i.e. pure Aloha is in operation). The transmission rate is 2Mbps and each station transmits fixed sized packets of 1000 bits each. If 50 packets are transmitted in one second, and follow a Poisson distribution, calculate the normalised offered load to the network (G) and from this the probability of a collision on the radio channel. 5 Marks] (d) All linear group block codes have an important property called “closure”. Briefly describe this and demonstrate its operation with the following (5,2) code: Code Codeword 00111 11100 11011 [4 Marks] (e) We consider a cellular network with a transmit power of 2.5W. The transmit and receive antenna gains are equal to 1.5, while the carrier frequency is 3GHz. If the receiver bandwidth is 60KHz and the noise figure is 4, determine the maximum distance to support a SNR of 12dB (Hint: Assume free-space propagation, no error losses and that the reference distance is 1km) operating [9 Marks] Show transcribed image text Q1. (a) Show using an example, that two-dimensional (i.e. horizontal and longitudinal) block check parity schemes can detect all 3-bit errors in a block 5 Marks] of data. (b) A (14,7) Hamming codeword is sent over a channel with a bit error rate of 5 x 102. Calculate the probability of 4 or more errors occurring in any codeword [4 Marks] (c) Stations are allowed to transmit onto a shared radio channel whenever they like (i.e. pure Aloha is in operation). The transmission rate is 2Mbps and each station transmits fixed sized packets of 1000 bits each. If 50 packets are transmitted in one second, and follow a Poisson distribution, calculate the normalised offered load to the network (G) and from this the probability of a collision on the radio channel. 5 Marks] (d) All linear group block codes have an important property called “closure”. Briefly describe this and demonstrate its operation with the following (5,2) code: Code Codeword 00111 11100 11011 [4 Marks] (e) We consider a cellular network with a transmit power of 2.5W. The transmit and receive antenna gains are equal to 1.5, while the carrier frequency is 3GHz. If the receiver bandwidth is 60KHz and the noise figure is 4, determine the maximum distance to support a SNR of 12dB (Hint: Assume free-space propagation, no error losses and that the reference distance is 1km) operating [9 Marks]
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Answer to Q1. (a) Show using an example, that two-dimensional (i.e. horizontal and longitudinal) block check parity schemes can de… . . .
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