HW2Supplement

HW2Supplement - 454 Digital Modulation in AWGN Baseband...

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Digital Modulation in AWGN Baseband Channel Chapter 8 454 Figure 8.55 Illustration of the slope of the sinusoid at the zero crossing as a function of the amplitude. as the band of frequencies of the signal X (f) beyond f = 1/2T. If the excess bandwidth is zero, i.e., X(f) = 0 for If I > 1/2T, then CI = 0; thus, this method fails to provide a timing signal. If the excess bandwidth is large, such as exl2T where ex = 1/2 or 1, the timing signal amplitude will be sufficiently large to yield relatively accurate symbol timing estimates. 8.7 FURTHER READING The geometrical representation of digital signals as vectors was first used by Kotel- nikov (1947) and by Shannon (1948a, 1948b) (in his classic papers). This approach was popularized by fWozencraft and Jacobs (1965). Today, this approach to signal analysis and design is widely used. Treatments similar to those given in the text may be found in most books on digital communications. The matched filter was introduced by North (1943), who showed that it maxi- mized the SNR. Analysis of various binary and M -ary modulation signals in A WGN were performed in the two decades following Shannon's work. Treatments similar to those given in this chapter may be found in most books on digital communications. A number
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This note was uploaded on 12/28/2011 for the course ECE 146b taught by Professor Staff during the Fall '08 term at UCSB.

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HW2Supplement - 454 Digital Modulation in AWGN Baseband...

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