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Unformatted text preview: . (Note that P b ( E ) P ( E ).) 2. If R > C , then no system whatsoever can have arbitrarily small error probability. In fact as K , P ( E ) 1 for any system. Properties of channel capacity: We have C = W log 2 (1 + P WN ) bits/sec. Then R < C = R W < log 2 (1 + P RN R W ) 1 or since P RN = E b N , 2 R W < 1 + E b N R W which gives E b N > 2 R W-1 R W This is the R W vs. E b N graph we have plotted in the handouts. Note that 1. As P , C . 2. As W , C P N Ln (2) . Thus as W , the orthogonal signals are optimal. For orthogonal signal set if R < P N Ln (2) , and K , we can get arbitrarily small P ( E ). 2...
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This note was uploaded on 03/05/2012 for the course EE 7615 taught by Professor Naragipour during the Fall '11 term at LSU.
- Fall '11