By Riis M., Lodahl J.
We contemplate potential enlargement of a telecommunications community within the face of doubtful destiny call for and power destiny disasters of community elements. the matter is formulated as a bicriteria stochastic application with recourse during which the complete rate of the potential growth and the likelihood of destiny potential standards to be violated are concurrently minimized. Assuming the lifestyles of a finite variety of attainable destiny states of the area, an set of rules for the matter is elaborated. The set of rules determines all non-dominated ideas to the matter by means of a discounted possible zone procedure, fixing a series of constrained subproblems through a slicing aircraft approach. Computational effects are pronounced for 3 various challenge circumstances, one in all that's a real-life challenge confronted through SONOFON, a Danish communications community operator.
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Additional resources for A bicriteria stochastic programming model for capacity expansion in telecommunications
7 a systematic encoder from every rate 1/n 0 non-systematic encoder, which generates a systematic code with the same weight enumerating function as the non-systematic one which is relevant for the free distance [71–98]. The systematic codes are used for turbo code construction, to be discussed later. Consider, for simplicity, a rate 1/2 feed-forward encoder characterized by the two generators (in polynomial form) g1,1 (Z ) and g1,2 (Z ). 25) To obtain a systematic code we need to have either x1 (Z ) = u(Z ) or x2 (Z ) = u(Z ).
In the notation, ‘1’ means a connection and ‘0’ no connection. We will use the following notation: code rate Rc = k0 /n 0 , memory ν = (N − 1)k0 and such a code will be denoted as an (n 0 , k0 , N ) convolutional code. 9. For the example in Fig. 9(b). ). 9 Two equivalent schemes for the convolutional encoder of the (3, 1, 3) code. 10 Convolutional encoder for the (3, 2, 2) code. notation that might be more convenient: g1,1 .. G= . 10. 10. 12 General block diagram of a convolutional encoder in parallel form for an (n 0 , k0 , N ) code.
Such codes can correct t errors. For details of code construction and detection the reader is referred to the classical literature [54–71]. 3, is used. The ﬁgure represents a scheme for the interpretation of a (75,25) interleaved code derived from a (15, 5) BCH code. A burst of length b = 15 is spread into t = 3 error patterns in each of the ﬁve code words of the interleaved code. 4 Word error probability for the (7, 4) Hamming code: hard decision and soft decision curves. Binary antipodal transmission.
A bicriteria stochastic programming model for capacity expansion in telecommunications by Riis M., Lodahl J.