Question 2 (a) The state diagram of a convolutional code is shown in Figure 2. 10 01 01 00 00 10 10 1 0 1 00 11 01 i. Figure 2 What are the constraint length and code rate of this encoder? [4 marks] ii. Given a noise corrupted received sequence 1001101111. Decode the transmitted data bits using the Viterbi algorithm. Draw the trellis diagram, trace the decisions on the diagram, and label the survivors' Hamming distance metrics at each node level. If a tie occurs in the metrics required for a decision, always choose the upper path. [14 marks] iii. Find the free Hamming distance. [4 marks]