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View File - University of Engineering and Technology, Taxila

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The transmission bit rate isR r ¼ r bT sT bbit=sec ð5:18Þwherer b ¼ input digital bit rate <strong>of</strong> the user (bit=sec).T s ¼ symbol (or frame) duration (sec).T b ¼ bit (or burst) duration (sec).It follows from this expression that if the rates R ri were selected to fallwithin the specified capacity region, the probabilities <strong>of</strong> errors z for l users tendto zero as the code block length, b, tends to infinity. Suffice to say that the sum<strong>of</strong> the rates tends to infinity with l users. In this instance, the cooperativeCDMA has a similar format as the FDMA <strong>and</strong> TDMA.Further comparison with FDMA <strong>and</strong> TDMA systems shows that if allthe rates in the CDMA are selected to be identical, than (5.17) reduces toR r < B log 21 þ lC iNð5:19Þwhich incidentally is identical to the constraint applied to TDMA <strong>and</strong> FDMA;note that N ¼ BN 0 <strong>and</strong> lC i is the total carrier power for all the users. Weconclude that if the aggregated rates are unequally selected, there exists a pointwhere the rates in the CDMA system exceed the capacity <strong>of</strong> FDMA <strong>and</strong>TDMA. This point will be fun for the reader to establish.5.3 SUMMARYThis chapter has discussed the techniques that permit several earth terminals orstations on the same network to exchange information via a nodal point thatthe satellite represents. These techniques are FDMA, TDMA, <strong>and</strong> CDMA:they exploit the geometric advantage created by the use <strong>of</strong> the satellite.Comparisons between the capacity <strong>of</strong> these multiple-access methods areexamined in terms <strong>of</strong> the information rate that each method achieves in anideal ‘‘additive white Gaussian noise’’ channel <strong>of</strong> finite b<strong>and</strong>width.z As defined in Chap. 3, Eq. (3.12).Copyright © 2002 by Marcel Dekker, Inc. All Rights Reserved.

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