Download Advances in communication systems : theory and applications. by A V Balakrishnan PDF

By A V Balakrishnan

ISBN-10: 1483229394

ISBN-13: 9781483229393

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Proof of the Theorem: Then For convenience, let X„{OL) = Yn(oc) — m0. E{Xn{*)} = m(

30). Such a system would use the radiation scattered from clouds to illuminate a receiver beyond the horizon. FIG. 30. A beyond-the-horizon scatter link. Appendix A In Section III, it was asserted that the normalized variance (NV) of the received power was much smaller than unity in most cases of practical interest. The purpose of this appendix is to consider the numerical values of this NV and to show that it is very small in most cases. From Eq. (22), the normalized variance is bounded by 00 NV = - ^ ^ 00 Σ iwrws r=0s=0 (Al) STUDY OF MULTIPLE SCATTERING OF OPTICAL RADIATION 47 where Wr = \E,S\2 + \ELr In order to simply the argument, let us approximate the sums of Eq.

Depending upon the application and objective, this random variable Yk will be either scalar-valued or vector-valued with M components (the same number of components as a); in the vector-valued case, we denote this random variable by ΥΛ(α). The functional relationship Yk(a) =f(Zk, a) depends upon the application we have in mind. We shall give some examples shortly. To date, stochastic approximation methods have centered about two methods or algorithms: the Robbins-Monro method (1) and the KieferWolfowitz method (2).

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