= II) [25 Points] Consider a baseband Nyquist signal p(t) Pi(t)p2(t), where pi(t) sinc(at) and p2(t) = sinc(at), a 2. We intend to use the pulse p(t) for a 16-QAM signaling scheme for a wireless device operating in the 2.5 to 2.52 GHz frequency band. We wish to achieve a data rate of 40 Mbps. The passband signal should occupy the entire bandwidth of 20 MHz (between 2.5 and 2.52 GHz.) 1. Choose a and a2 such that p(t) can be used for the above mentioned 16-QAM system. 2. Sketch P(f), P2(f) and P(f) which are the Fourier transforms of p(t), p2(t) and p(t) respectively. Specify the amplitudes and frequencies. 3. Assuming that the wireless transmitter transmits the passband signal with an average power of 1 Watt, draw the 16-QAM signal constellation and specify the various signal waveforms. 4. What is the bandwidth efficiency B?What is the minimum required bandwidth Bmin? What is the excess bandwidth a? 2 5. If the passband signal occupies the frequency band between 2.5025 GHz and 2.5175 GHz (i.e., 15 MHz bandwidth) determine a Nyquist pulse p(t) which will support the data rate of 20Mbps. What other data rate will p(t) support? 6. Draw the schematic diagram of a receiver (Down converter/Receive filter followed by a decision box) for the above 16-QAM signal. Specify a decision rule, that decides which of the M=16 signals is being received?