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Unformatted text preview: ECE 562 Fall 2011 November 9, 2011 SOLUTIONS TO HOMEWORK ASSIGNMENT 5 1. Differential Detector and Noncoherent Orthogonal Modulation. Show that for binary DPSK, the non coherent detector based on the two-symbol interval statistic Y n is the same as the differential detector (see notes). Ans: The noncoherent detector is m n ( Y n ) = arg max m =1 , 2 |h Y n , s m i| with s 1 = E 1 1 , s 2 = E- 1 1 Thus m n ( Y n ) = 1 if | R n + R n- 1 | | R n- R n- 1 | 2 otherwise = 1 if Re[ R n R ? n- 1 ] 2 otherwise 2. To track or not to track the phase. Consider a BPSK system with an imperfect phase reference, and a BDPSK system with differential detection. Assume that the data rates, transmit powers, and noise PSDs for the two systems are the same. Let P b (BSPK , ) and P b (BDPSK) denote the respective bit error rates for communication. Find the value of phase error for which P b (BSPK , ) = P b (BDPSK) = 10- 6 ....
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