z Rs in .NET Use Code 128 in .NET z Rs

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0 z Rs using .net framework todeploy barcode 128 for web,windows application Microsoft Official Website This distribution may .net vs 2010 Code 128 Code Set B also be written in the following equivalent form Fz (z) = 2 1 sin (z/2Rs ) (9.54a).

The probability den sity function fz (z) is just the derivative of Fz (z) and is thus given by f z (z) = 1 Rs 1 1 (z/2Rs )2 (9.55). Performance analysis Since we assume her e that the velocity V is a constant value Vc , we immediately have, with t = z/Vc , fH (t) = Vc fz (Vc t), or f H (t) = Vc Rs 1 1 (Vc t/2Rs )2 (9.56). This handover dwell Code-128 for .NET -time density function fH (t) can also be written in normalized form by letting VC /RS again be de ned as the parameter K. We then have f H (t) = K 1 1 (K t/2)2 K Vc /Rs (9.

56a). The distribution function FH (t) is now given by FH (t) =. f H (t)dt = 2 1 sin Kt 2 (9.57). (This result is to be compared with that of (9.54a) for Fz (z), and could, in fact, have been written down directly from (9.54a) in this case of constant velocity, since t = z/Vc .

) Note, by comparing (9.57) and (9.53), that we can also write FN (t) = FH (t) + 2 Kt 2 1 Kt 2.

(9.53a). With the two cell d well-time distributions, FN (t) and FH (t), known, we are in a position, using (9.37a), to calculate the channel holding time distribution Fc (t), just as we did in the previous one-dimensional case. This we shall shortly do, comparing these results with the equivalent exponential distribution, to see how good the exponential approximation is for channel holding time.

Recall that this was the assumption made in carrying out the analysis of the guard-channel admission control scheme. But rst we calculate the two probabilities of handoff, PN and PH , as we did in the previous section, to compare the two-dimensional results with those of the one-dimensional case. We again use (9.

19) and (9.20) for this purpose. Consider the probability of handoff PN for the new-call case rst.

We then have, using (9.19) and (9.52).

PN = 4 f N (t)dt = 1 x 2 e bx d x b 2 Rs /Vc (9.58). The dimensionless p arameter b is comparable with the dimensionless parameter a L/Vc appearing in the one-dimensional cellular model of the previous section. We shall, in fact, compare one- and two-dimensional examples with the two-dimensional diameter 2RS set equal to the one-dimensional cell length L..

Mobile Wireless Communications Table 9.3 Probabilities of handoff One-dimensional cas .net framework Code 128 Code Set C e PN PH c PN Two-dimensional case PH c-. 1 Macrocell, 2RS = L = 10 km, Vc = 60 km/hr, b = 3 0.32 0.05 0.

34 0.37 0.23 0.

48 2 Macrocell, 2RS = L = 1 km, Vc = 60 km/hr, b = 0.3 0.86 0.

74 3.31 0.88 0.

83 5.18 3 Microcell, 2RS = L = 100 m, Vc = 5 km/hr, b = 0.36 0.

84 0.70 2.8 0.

86 0.80 4.3.

The probability PH barcode code 128 for .NET of handoff, given a mobile arriving at a cell with a call already in progress, is similarly found using (9.20) and (9.

56). PH = 2 f H (t)dt = e bx 1 x2 (9.59). The dimensionless p arameter b 2 RS /Vc , just as it was de ned above in writing the expression for PN . In Table 9.3 we provide examples of the calculation of the probabilities of handoff for the same three cases tabulated in Table 9.

2 in the previous section. We also include the probabilities of handoff for the one-dimensional case of Table 9.2 to provide a comparison between the one- and two-dimensional cases.

Also tabulated for comparison are the values of c de ned to be the ratio of handoff traf c h to new-call arrival traf c n , assuming blocking probability and handoff dropping probability are both very small. From (9.22) this is just PN /(1 PH ).

This gives us a single parameter with which to compare results. These values of c will also be needed in the calculation of the channel holding-time distribution Fc (t), as is apparent from our prior result (9.37a).

As noted above, we set the one-dimensional cell length L equal to the circular cell diameter 2RS in carrying out the comparison. The parameter b introduced here is thus made equal to the parameter a L/Vc introduced in the one-dimensional case. (We choose the constantvelocity model only in making these comparisons.

) The average call holding time 1/ is again taken to be 200 seconds in all three examples. The results for the one- and two-dimensional examples are comparable, although, in all three examples, c . one-dimen < c two-dimen . Probabi lities of handoff are much higher for the smaller macrocell than for the larger macrocell, given the same mobile velocity in each case. These results are as expected, the same comment we made in previous sections.

It is also readily shown that if we select the radius RS of the two-dimensional circular cell to be equal to, rather than one-half, the length L of the comparable one-dimensional cell, the c s obtained are uniformly less than those for the two-dimensional cases. Results for the one-dimensional case are thus bounded by the two-dimensional results. We shall return to these calculations of c later in comparing results for this two-dimensional circular cell model with those appearing in Guerin (1987) using hexagonal cell structures and a somewhat different modeling approach.

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