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The author would like to sincerely thank a number of colleagues for providing support in writing this book unless otherwise stated, all of them are with Nokia Siemens Networks: Ralph K hne (Univ. T bingen, Germany), Frank-Uwe Andersen, Nadeem Akhtar (IIT u u Madras, India) and Ulrike Meyer (Univ. Aachen, Germany) reviewed critically several chapters, gave constructive as well as most welcome advice, and were invaluable discussion partners. Mirko Schramm helped me keep up-to-date with the latest developments in 3GPP SA2, G nther Horn and Ulrike Meyer clari ed the 3GPP work on security, Ralph K hne and Uwe u u F ll did the same with 3GPP charging issues, as did Ulrich Thomas with the UTRAN. J rg o o Swetina (NEC) provided me with insight into the ongoing work on 3GPP SA1, Max Riegel answered my numerous questions on WiMAX, Hannes Tschofenig shared his expertise on security issues in the IETF, Andreas K psel supported me regarding IETF mobility protocols o and Pierre Lescuyer (Nortel Networks) explained radio interface issues. A number of key ideas in this book were developed together with Robert Hancock and Eleanor Hepworth (Roke Manor Research, UK) in the course of our joint work on future Mobile Communication Networks. Thanks go also to Georg Carle (Univ. T bingen, Germany) who was crucial in the initial u process of formulating what this book would be about. This book is based on a course which I taught at the Technical University of Berlin, Germany. Thanks therefore go also to my students for their critical and curious questions which helped to improve both the book s concept and its technical accuracy. Finally, I d like to thank my editors at Wiley Birgit Gruber, Richard Davies, Sarah Hinton and Sarah Tilley who supported the writing process, answered all of my queries and managed the production process seamlessly.

Equations 6.33 and 6.34 give the magnetic and electric eld intensities, Hp and E p, at a point x in space due to an electric dipole, p, produced by a spherical charge distribution, (x ), at the origin. We see that E p has a radial component but Hp does not so we would call this radiation transverse magnetic (TMr ) because it is orthogonal to the radius vector in spherical coordinates. Equations 6.38 and 6.39 give the magnetic and electric eld intensities, Hm and E m, at a point x in space because of a magnetic dipole, m, produced by a spherical current distribution, J (x ), at the origin. We see that Hm has a radial component but E m does not so we would call this radiation transverse electric (TEr ) because it is orthogonal to the radius vector in spherical coordinates. We do not expect quadrupole, octapole, hexadecapole, or higher-order moments in problems associated with spherical conductors in uniform external elds.

12.3.3.2 PLCP Header The purpose of the PLCP header is to convey information on both the physical layer and the MAC so as to help in decoding the PSDU at the receiver. The PLCP header is transmitted with the lowest rate (53.3 Mbps). Both the PHY and MAC headers are embedded in the PLCP header. Reed Solomon parity bits are also added to the PLCP header to increase the robustness of the PLCP header reception [1]. 12.3.3.3 PSDU WiMedia provides eight PSDU data rates, ranging from 53.3 to 480 Mbps (Table 12.3). The rst ve data rates use quadrature phase-shift keying (QPSK) as the modulation method, and the latter three data rates use dual-carrier

There is quite a complex bifurcation scenario of a transition to chaos via the break-up of an invariant torus in the PCF laser; for more details see [27]. It occurs in the range of 2 300 2 800 as is shown in Figure 5.15 with bifurcation diagrams obtained by simulation (a) and by numerical continuation of the locked periodic orbit (b). Figure 5.15(a) shows a stable periodic solution, namely the external cavity mode ECM1 from Figure 5.14(a), that loses its stability at 2 307. The dynamics on the bifurcating attracting torus is initially quasiperiodic or periodic with extremely high frequency. At 2 441 there is a saddle-node bifurcation of limit cycles SL where the dynamics on the torus becomes locked, as is evidenced by the five distinct branches in the bifurcation diagram. At 2 556 the locked periodic orbit itself loses its stability and bifurcates to a torus. This new torus corresponds to quasiperiodic modulations of the laser output, and is shaped like a hose wrapped around the remainder of the initial locked solution. At 2 570 this new torus suddenly is replaced by a much larger chaotic attractor in a bifurcation that does not show any hysteresis. This is quite a spectacular change in the laser s output: a sudden transition from a periodic oscillation of the power to a chaotic signal. Note that a similar scenario has been found in simulations of the LK equations in [48]. To shed more light on the bifurcations involved, Figure 5.15(b) shows a bifurcation diagram of the period T against , obtained by continuation with DDE-BIFTOOL that was started from the stable locked periodic solution. The oval branch S1 of symmetric periodic solutions is born and destroyed at the maximum and minimum values of in two saddlenode bifurcations of limit cycles SL. As is indicated by boldfacing, there is a stable locked solution in the interval 2 441 2 556 , the right endpoint of which is indeed a torus bifurcation. There are two more bifurcations on S1, namely the two symmetry-breaking bifurcations denoted by SB. These two bifurcation points are connected by the branch N1 of non-symmetric periodic orbits. There are further bifurcations along N1, which we will not discuss in detail here. Note, however, that this branch N1 features a window of stability between the points SL and T in the range 2 530 2 543 ; for details, see [27].

More opinion is expressed about the U.S. market than any other. To an outsider, America must appear to be one massive, rich, and homogenous market. Everyone seems to be successful. It still draws outsiders to it with the same Klondike-itis that lured the forty-niners to California from gold fields as far away as Australia and Peru 150 years ago. To this day, even large European firms with long established reputations attack the U.S. market with the understanding of a five-year-old playing Monopoly. They believe that a healthy share of this lucrative market will be the salvation to all their problems. Sales will skyrocket. Profits will multiply. The managing director will bask in fame. Global domination is only a short step away. Sadly, the number of latter day Columbus s that foul up the launch of their products continues. The capital they pour in to get their venture on an even footing frequently comes dangerously close to capsizing the entire organization. They drool over the potential prize yet have no strategy for achieving it. What they fail to realize is that by the time a successful U.S. company brings its products and services to Britain, they (and its corporation s executives) have been refined by progressive distillation in many submarkets, some as big or bigger than any nation in Europe. Americans engaging combination of confidence and humility stems not from insecurity but from a business environment that only yields to the flexible and persistent. The United States is not a single homogenous market. There are at least five major markets:

Personal qualities are the characteristics that describe you. They might be personality traits, aptitudes, preferences, passions, motivators, drivers, work style anything that makes you uniquely you. Your personal qualities often are expressed in statements beginning with I am... Some examples include the following:

As previously mentioned, ideas that materialize in a flash can evaporate just as quickly. If you ve ever awakened from a vivid dream from which you can remember the feeling, but you just can t recall the substance, you will know what I m talking about. Creative ideas come from the subconscious part of the brain. Unless they are copied onto the conscious brain, they are prone to submerge and may not resurface. Take a tip from people who make their living from ideas: keep a pencil and paper by your bed, in your car, wherever. When you get an idea, jot it down immediately. Use just enough key words to help you recall the notion, but nothing too detailed; there may be other thoughts to come.