Problem 7: Consider a signal that takes on discrete integer values. The initial set starts with...
Problem 7: Consider a signal that takes on discrete integer values. The initial set starts with the values 1-A, A). The next set doubles the possible sequences, ne values (-3A. -AA, 3A). The next set doubles that further and so on. Each time We double, the level spacing between the possible values stays the same at 2A, Le, the integers are the set of Odd Numbers. The variable A represents a scalar quantity that we are going to use to normalize the power of our transmission. Let's say we decide to transmit sequences that vary from -63A to +63A, If each value in the set of Odd numbers in the range-63A to 63A have equal probability, determine the number A that will scale our transmission such that the transmit power is 1W. The waveform for the transmission will be a pulsed sinewave given by PX(t) = (Ak]cos(20007 with k an odd integer, P. (t) the waveform where k scales the amplitude, and A is the normalizing factor to ensure that unit transmit power is observed, (A) 1 - - i s an