Download Cooperative Communications and Networking by K. J. Ray Liu, Ahmed K. Sadek, Weifeng Su, Andres Kwasinski PDF

By K. J. Ray Liu, Ahmed K. Sadek, Weifeng Su, Andres Kwasinski

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Suppose that at the input of the MRC there are L signal samples, y0 , y1 , . . , y L−1 , that are to be combined into a signal sample y M . Each of the received signals correspond to a unit-energy transmited signal that have been received through the corresponding L different paths characterized as h 0 ejφ0 , h 1 ejφ1 , . . , h L−1 ejφ L−1 . 40) 30 Introduction where ck are the coefficients of the MRC combiner and the complex exponential is used for equalizing the phases of each term (cophasing).

S[N − 1], s[0], s[1], . . , s[N − L] , s[N − L + 1], . . , s[N − 1]] . 34) The output of the channel can be written as L−1 h[l]x[n − l] + v[n], y[n] = n = 1, 2, . . 35) l=0 where v[n] is additive white Gaussian noise. The multipath channel affects the first L − 1 symbols and therefore the receiver ignores these symbol. The received sequence is then given by y = [y[L], y[L + 1], . . , y[N + L − 1]] . 36) 28 Introduction Equivalently, one can write the received signal in terms of the original channel input as L−1 h[l]s [(n − l − L)modN ] + v[n].

In particular, the notion of capacity is influenced by how much the channel changes over the duration of a coding interval and the properties of the random process associated with the channel fluctuations. When the random variations of the channel are a stationary and ergodic process it is possible to consider the traditional notion of capacity as introduced by Claude Shannon [181]. In this case, coding is assumed to be done using arbitrary long blocks. Also, the random process driving the channel changes needs to be stationary and ergodic.

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