you want to transmit at a symbol rate corresponding to a symbol duration T : 9600 symbols/sec. you want the total bandwidth of the transmission to correspond to less than 6000 Hz. 4. You are told that the received signal after the receiver front end and whitening filter corresponds to (Q9.1) Channel Filtering and Equalizers where Ik=+1 or Ik==-1 (Q9.2) (a) Assuming an MLSE is applied to this signal, plot the trellis diagram that the MLSE uses to make a decision on the final output symbols. (b) If you receive the values +1,+1,+1,0, use the Viterbi algorithm to determine what symbols the MLSE decides were sent. 5. Your manager tells you that his receiver front end is outputting the signal: (Q9.3) where Ik=-2 or -1 or 1 or 2 (Q9.4) (a) Assuming the noise n is white, he asks you to design the optimal receiver for data detection. Be as complete and detailed as possible in your reply - include the trellis diagram, the values on all the branches, and a description of the Viterbi algorithm to be used for detection. (b) Design the optimal linear equalizer to (1) remove ISI; (2) minimize MSE. (Assume No = 0.7). 6. Out of a receiver front end comes the signal (Q9.5) where Ik = -3A or - A or A or 3A (Q9.6) and the noises are independent Gaussian random variables (i.e., a whitening filter has already been applied). (a) Describe the MLSE. (b) Given inputs 1.5A, 2.5A, and -1.5A, what would your MLSE output? Chapter Nine Pulse CE(t) shaping Ing(t-nT) kT + T Figure Q9.1 A communication system 7. You are given the communication system of Figure Q9.1. (a) Determine the output after each block in the figure. (b) Specify the criteria on the communication system for zero ISI at the output of the sampler. (c) If I select (Q9.7) for what values of T do I have zero ISI out of the receiver front end? Chapter Estimation and Synchronization o far in this book, we have considered two channel effects. Prior to Chapter 9, we considered channels adding a noise n(t) to the sent signal. In Chapter 9, we said the channel in fact added more than ju