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View File - University of Engineering and Technology, Taxila

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Rearranging (5.11) in terms <strong>of</strong> energy <strong>of</strong> a single bit per user per b<strong>and</strong>width,we have23CB ¼ log C=N62 1 þ B 1 þ C 74N ðl 1Þ5ð5:12Þ¼ log 2 1 þ r b =B E b =N 0B 1 þ r b =Bðl 1ÞE b =N 0which can be rewritten as EC x ¼ log 2 1 þ C b =N 0x1 þ C x ðl 1ÞE b =N 0ð5:13ÞOr, equivalently,E b 2 C x 1¼N 0 C x l 2 C ð5:14Þ½ x ðl 1ÞŠwhere C x ¼ r b =B =B.The plot <strong>of</strong> (5.14) is shown in Fig. 5.9 for variable number <strong>of</strong> users, lWe observe in Fig. 5.9 that the larger the number <strong>of</strong> users, the smallerthe allocated channel capacity with increased noise tolerance level. However,for a large number <strong>of</strong> users we can use well-known power-series approxima-FIGURE 5.9Normalized capacity <strong>of</strong> noncooperative CDMA system.Copyright © 2002 by Marcel Dekker, Inc. All Rights Reserved.

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