HW9 - ECEN 661 - Modulation Theory Homework #9 Assignment...

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ECEN 661 - Modulation Theory Homework #9 Assignment Date: 4/13/06 Due Date: 4/20/06 1. Phase Estimation for Binary PAM. Consider a binary PAM signal of the form where is the pulse shape used and the data bits are . The received signal is of the form , where is the unknown carrier phase on the received signal and is white Gaussian noise. (a) Given that we are able to observe the received signal for a time period totalling bit intervals (e.g., ), find an (approximate) expression for the ML estimate of the carrier phase . Use the small SNR approximation . (b) Given that we are able to observe the received signal for a time period totalling bit intervals (e.g., ), find a procedure to produce an (approximate) ML estimate of the carrier phase . Use the large SNR approximation . In this case, you probably will not be able to find a closed form expression for the estimate. Instead, see if you can come up with an iter- ative procedure that will converge to the estimate.
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