For the data communication system shown above, the source encoder (with code efficiency n=0.8) translates every source symbol into a binary source code word and then the channel encoder inserts an additional k digits (called parity" bits) for error correction into each k-digit block of data emitted from the source encoder, and so outputs 2k-bit binary channel code words. We will define the code rate as the ratio of source bits to coded bits, hence in this example the code rate is 192. (a) Find the average) bit rate in bps at the input of the AWGN channel. Hints: 1. This is NOT information rate; 2. First find the bit rate at the output of the source encoder and then use the code rate of the channel encoder to determine the increase in bit rate due to the channel encoder (b) Find the minimum signal Power P required to ensure reliable communication based on Shannon's channel coding theorem Hints: 1. The bit rate (bps) has nothing to do with the Channel Coding Theorem 2. Step 1: Determine the information rate (for the source) 3. Step 2: Determine the channel capacity required per Shannon's channel coding theorem 4. Step 3: Determine signal power Pusing Shannon's AWGN channel capacity formula For the data communication system shown above, the source encoder (with code efficiency n=0.8) translates every source symbol into a binary source code word and then the channel encoder inserts an additional k digits (called parity" bits) for error correction into each k-digit block of data emitted from the source encoder, and so outputs 2k-bit binary channel code words. We will define the code rate as the ratio of source bits to coded bits, hence in this example the code rate is 192. (a) Find the average) bit rate in bps at the input of the AWGN channel. Hints: 1. This is NOT information rate; 2. First find the bit rate at the output of the source encoder and then use the code rate of the channel encoder to determine the increase in bit rate due to the channel encoder (b) Find the minimum signal Power P required to ensure reliable communication based on Shannon's channel coding theorem Hints: 1. The bit rate (bps) has nothing to do with the Channel Coding Theorem 2. Step 1: Determine the information rate (for the source) 3. Step 2: Determine the channel capacity required per Shannon's channel coding theorem 4. Step 3: Determine signal power Pusing Shannon's AWGN channel capacity formula