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When three piconets coexist, there are three cases that a packet in piconet A can be successfully received: the rst case is that b1, b2, c1, and c2 are chosen from frequencies other than a1 and a2; the second case is that only one of a1 and a2 is overlapped by one of the frequencies from b1, b2, c1, and c2; and the third case is that only one of a1 and a2 is overlapped by the same frequency from both B and C: b1 or b2 and c1 or c2 Therefore with DCT, the PER for three synchronized piconets in AWGN is n 2 o 2 P s k; 3 1 d0 1 1 bk 1 a 4d1 d0 bk 1 a 4d1 d2 bk 1 a 7:6 dct 2 2 2 In Eq (7.

Polynomial addition and multiplication are done using operations modulo 2, and satisfy the commutative, associative and distributive laws. An important operation is the division of two polynomials. As an example, the division of polynomial X 3 + X + 1 by the polynomial X + 1

PURPOSE INHERITED VALUES Floats an element to the left or right, so text flows around it. No left, right, or none.

6), k = 1, 3, 5, d0 is the probability that frequencies of two piconets do not overlap, d1 is the probability that one frequency of piconet A is overlapped by a frequency of another piconet, and d2 is the probability that a frequency of piconet C is overlapped with a frequency of piconet A, which is already overlapped by a frequency of piconet B The functions for d0, d1, d2 are derived in the following First, we know that a1 and a2 are two frequencies selected from the M = 79 frequency bins and ja1 a2 j ! D MHz, where D = 22 Speci cally, a1 is uniformly selected from the M frequency bins, a2 is chosen from mapping table 2, which is based on a1 Let us use index 1, 2, y, m, y, M to denote the M frequency bins.

Unix includes a handy tool called cron that s useful for performing tasks on a schedule. In typical Unix fashion, it includes a beautifully nerdy table structure, called the cron table, or more commonly crontab, for specifying the commands you want to run and the times you want to run them. The format of the cron table is just simple enough for many folks to be able to figure it out, and just tricky enough that you can make little mistakes without realizing it. Cronnix is a free utility (abstracture IT-Beratung GmbH, www.abstracture.de/cronnix) that fills this gap by providing a nice Mac-like interface to cron. With Cronnix, (Figure 7-9), you add entries to a list in order to create cron tables.

13.

For example, 1 is a possible choice for a2 only if a1 = D + 1, D + 2, y, M So if a1 is selected as 1, 2, y, or M, then 1 is a possible choice for a2 for M D times Let vm denote the times that a particular frequency m is a possible choice for a2 when a1 is chosen as 1,2, y , or M It can be veri ed that 8 >M D m 1 < vm M 2D 1 > :m D for m 1; ; D for m D 1; ; M D for m M D 1; ; M 7:7.

Elements of Information Theory, Second Edition, By Thomas M. Cover and Joy A. Thomas Copyright 2006 John Wiley & Sons, Inc.