100305-lecture8 - 1 EE522 Communications Theory Spring 2010...

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Unformatted text preview: 1 EE522 Communications Theory Spring 2010 Instructor: Hwang Soo Lee Lecture #8 – Pulse Shaping, Bandwidth Efficiency and Demodulation Structures 2 Announcements ¡ Project Proposals ¢ Due Thursday, March 9 ¡ HW #3 Due Thursday, March 11 ¡ Handout ¢ Course Notes #8 3 A New Way of Viewing Modulation ¡ The I/Q representation of modulation is very convenient for some modulation types. ¡ We examine an even more general way of looking at modulation using signal spaces. ¡ By choosing an appropriate set of axis for our signal constellation, we will be able to: ¢ Design modulation types which have desirable properties ¢ Construct optimal receivers for a given type of modulation ¢ Analyze the performance of modulation types using very general techniques. 4 Summary of Gram-Schmidt Procedure ¡ 1st basis function is normalized version of 1st signal. ¡ Successive basis functions are found by removing portions of signals which are correlated to previous basis functions, and normalizing the result. ¡ This procedure is repeated until all basis functions are exhausted. ¡ If , then no new basis function is added. ¡ The order in which signals are considered is arbitrary. ) ( ' = t f k 5 Notes on Gram-Schmidt Procedure ¡ A signal set may have many different sets of basis functions. ¡ A change of basis functions is equivalent to rotating coordinates. ¡ The order in which signals are used in the Gram-Schmidt procedure will affect the resulting basis functions. ¡ The choice of basis functions does not affect performance. 6 Pulse Shaping - Why Does it Matter ¡ One way of reducing bandwidth requirements is through efficient quantization ¡ Sample rate: samples/second....
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This note was uploaded on 11/23/2010 for the course EE EE522 taught by Professor Eeehwangsoo during the Spring '10 term at Korea Advanced Institute of Science and Technology.

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100305-lecture8 - 1 EE522 Communications Theory Spring 2010...

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