Problem 2 (25 points) a) Draw the signal constellations for 5X5-PAM used and show the probability of transmission of each symbol in each constellation. b) Name an IEEE 802 standard using 5X5-PAM constellation and give the transmission data rate of that standard. c) Calculate the average number of bits and the average energy per constellation for the constellation. Assume that minimum distance between the points in the constellations is one. d) If we use this constellation over a pair of Cat-7 twisted pair (TP) wires with a bandwidth that accommodates transmission of 600Msymbol/sec, what would be the user data rate of that system? e) If the acceptable received SNR for the 5X5-PAM for an acceptable error rate is 12dB, using Shannon-Hartley bound calculate the maximum data rate achievable on Cat-7 for the constellations