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The first term in Equation 3.79 represented the required number of required complex additions, while the second term was the complexity incurred in terms of complex multiplications. Theterm L77(5N2 5N 3 ) was the product of the RKCE complexity per iteration according to Equation3.77 and the numberof iterations, which was represented by L T . The terms associated with N b ( N f - 1) complex additions and NbNf complex multiplications represented the complexityof calculating the feedback coefficients the DFE, while the rest of of the terms contributed to the complexity of calculating the feedforward coefficients of the DFE. These complexity terms are tabulated explicitly Table 3.1 1. in By applying LT = 26 and N = 5 in Equation 3.79, the complexity of Structure 1 was LT 4214 complex additions and 2799 complex multiplications per transmission frame for iterations. The dimension N , in the contextof the RKCE represents the numberof paths the RKCE can estimate. It also implied that the maximum CIR length the RKCE can resolve was five symbols. Similarly, by applying Equation 3.80, the complexityof Structure 2, when N = Nf N b = 9 was 11778 complex additions and 7280 complex multiplications per transmission frame for LT iterations. By this simple complexity calculation, we deduced that the complexity of Structure 2 was higher by about a factor of three, than that of Structure 1 during the training sequence interval, even though the SNR degradation of Structure 2 washigher. Let us now summarize our findings in thenext section.

Figure 13.3: The Grid and Guides dialog box makes it easier to align and position objects when you are working on finishing touches.

SmartArt is a special class of vector graphic object that combines shapes, lines, and text placeholders. SmartArt is most often used to illustrate relationships between bits of text. The SmartArt interface is similar regardless of the type of diagram you are creating. You can type directly into the placeholders on the diagram, or you can display a Text pane to the side of the diagram and type into that, much as you would type into an Outline pane to have text appear in a slide s text placeholder boxes (see Figure 24-1). You can also select some text, rightclick on it, and choose Convert to SmartArt.

FIGURE 34.11 Acrobat automatically created form fields after the Run Form Field Recognition command was selected from the Forms menu.

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V(I) (V)

people are familiar with the misuses of sense-making, where a personal sense of things ignores available knowledge. This is common enough, and explains why investors regularly make foolish decisions (Fuerbringer, 1997), why parents wrongly associate hyperactivity in children with excessive sugar intake (Kolata, 1996), or why members of a sect cling stubbornly to the conviction that their deceased leader will return as the Messiah (Gonzalez, 2003). As a Yale psychologist observed, People s need to make sense of the world is so much stronger than their commitment to factual realities. Facts are easier to rearrange than their needs are (Gonzalez, 2003).

Example 12.2. Modelling of CSMA/CD networks. For the modelling of CSMA/CD network access mechanisms like Ethernet [194, 277, 2841, the queueing analysis methods we have discussed so far do not suffice (we cannot model the carrier sensing, the collisions and the binary-exponential backoff period in all their details, to name a few examples). Instead of modelling the exact system operation in all its details, we can also try to incorporate in a model just their net effect. In particular, measurement studies have revealed that the effective throughput at the network boundary in CSMA/CD systems strongly depends on the length of the network, the used packet length and the number of users simultaneously trying to use the network. In modelling studies, one therefore may include these three aspects in an expression for the effective capacity that a CSMA/CD network offers, as follows. If the number of customers increases, more collisions will occur. If a collision occurs, it will take longer to be resolved when the network length is larger due to the longer propagation time. A good approximation of the network efficiency E(n) when n users are trying to access the network is therefore given

va(t)

Assume u ( i ) is sinusoidal, say u(i) = ejWoifor some wo. Assume also that the filter is initially at rest. Let 2ui denote the coefficients of the LMS filter, which are adapted according to the rule wz= wzPl pu![d(i) - uiwi-11. Although the coefficients of the filter vary with time, due to the adaptation process, it turns out that the input-output mapping is actually time-invariant in this case.

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