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Part II:
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important when the large phase step associated with an SDH pointer movement can cause up to 24 UI of jitter per AU-4 pointer movement prior to the network element s desynchronizer (Figure 23.17). It also is a requirement in ITU-T O.171 February 1996 (Jitter Measuring Equipment Standard) that the jitter analyzer has low intrinsic jitter performance, <0.075 UIpp for 10 3500 kHz measurement bandwidth. The ITU-T/ETSI standards define four pointer sequences for use when evaluating a network element s pointer adjustment jitter performance. These sequences are designed to emulate the pointer activity that results from degradation or failure within a network s synchronization. The Pointer Test Sequences shown in Figure 23.18 are used to test 34 Mbps and 140 Mbps tributary outputs on the associated TU-3 and VC-4 pointers respectively. Sequences A and D emulate the network situation where there is no overall frequency offset, but mimic the situation where loss of synchronization or excessive wander occurs. Sequences B and C emulate a network situation with a frequency offset of 4.6 ppm between ends of the path, the worst-case offset of a Stratum 3 clock. When testing pointer adjustment jitter on a 2 Mbps tributary output, similar pointer sequences are generated on the TU-12 pointer. The key differences are that Sequence D is invalid for 2 Mbps; the time separating regular adjustments (referred to as T2) in Sequences B and C is >750 ms (not 34 ms), and the time separating the double adjustments (referred to as T3) in Sequence B is 2 ms (not 0.5 ms). As can be seen from Table 23.7, the maximum acceptable pointer adjustment jitter varies depending on:
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#DIV/0! Errors Excel will display this error when you attempt to divide a number by 0. It is easy to write a formula that inadvertently divides by zero because as you develop the formula, you may be using some test numbers. However, once you clean up the model, these test numbers go away and you will have formulas that then show the #DIV/0 errors. It may be that as the model starts to be used, there will be values coming in that will make these formulas calculate properly again. However, it is sometimes quite disconcerting for a new user unfamiliar with your model to see these error messages. For this reason, for any formula you write that involves a division, you should take steps to do an error trap by using an IF statement. Thus, instead of the formula = D10=D12 we should write it as: = IF D12,D10=D12,0 Remember that D12 is the short way of writing D12<>0. Another variation is this formula: = IF D12,D10=D12, na This formula will return the text na if D12 is zero. This is fine, unless there is the chance that this formula will be read by another cell as part of the calculation in that cell. If the first cell shows na, then the calculation in the second cell will run into trouble because it will not be able to use this text in its calculations. That second cell will show the #VALUE! error (see below). One trick you can use if you do want the na to show but avoid having other cells running into calculation problems is to use the first formula that returns a 0. To do this, we use Excel s formatting capabilities to show na when it is the value for 0. Please turn to 18, Bells and Whistles to see how this is done.
The promises of advanced telecommunications networks, once more hype than fact, are now within reach. Cable modems and other technology are being deployed to make it happen. Regardless of the technology selected, the main goal is to get the high-speed data communications on the cable adjacent to the TV and entertainment. This gives the CATV companies the leverage to act in an arbitrage situation, competing with the local telephone companies who have dragged their feet in moving high-speed services to the consumer s door. As shown in Figure 14-8 , there are several up-and-down speed capabilities that can be shared to deliver asymmetrical speeds to the consumer s door. In the particular figure, the download speed is up to 30 Mbps, whereas the upstream operates at 1.5 Mbps. For many this is sufficient based on their applications.
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At the end of the communications channel, the receiver consists of a photodetector, which converts the optical signal to electrical signal, followed by an amplifier to boost the signal level, and a demodulator to decode the information. In such a system, the information determines the data rate and the laser wavelength determines the carrier frequency. For example, a typical system will use a laser operating at 1300 nm wavelength, corresponding to a carrier frequency of about 176 THz (176,000 GHz), and the information will modulate the laser at a rate of 560 MHz. The invention of optical fiber amplifiers has changed the way fiber optic communications systems are configured. Commercially available erbium-doped fiber amplifiers (EDFAs) can boost an optical signal level by 30 dB or more over a significantly wide band (1530 1570 nm). The use of EDFAs, as signal boosters at the transmitter and as preamplifiers across the fiber and at the receiver, should eliminate many of the repeaters needed in the conventional systems described previously. This fact is significant because the existing repeaters do not allow the option of varying the data rate over the communications system. EDFAs, with their extremely wide band (about 30 nm), will make the fiber optic communications system upgradable without major changes in the configuration. In addition, since the EDFA can be coupled easily to the transmission fiber, it will be possible to use a large number of EDFAs in the system, allowing longer transmission distance. AT&T has demonstrated a 9000 km undersea system using 300 EDFAs uniformly spaced along the fiber length. 22.2 Time Division Multiplexed Networks The most commonly used architecture for fiber optic networks is called time division multiplexing (TDM), in which several channels carrying different information are multiplexed in time and then propagated on the fiber (Figure 22.3). At the receiver end, the channels are demultiplexed and processed to retrieve the information for each channel. In the case of voice information, for example, a telephone call requires 64 kilobits of bandwidth. Thousands of telephone calls are multiplexed at the local and regional switching offices and combined as a one bit stream of data at a very high data rate, equal to the product of the number of calls times 64 kbps. (For example, 40,000 telephone calls will result in about 2.5 Gbps aggregate data rate). When this bit stream reaches the fiber optic transmitter, it is used to drive the modulator port of the transmitter. The laser source therefore will be modulated at the same rate, and the optical bit stream is sent on the fiber toward the receiver. As the optical signal arrives at the receiver end, a photodetector converts it into an electrical signal with the same data rate. A demultiplexer retrieves and separates the original channels, redirecting them to their appropriate destinations. Although this example used voice data to illustrate how TDM networks work, the same principle is used to transmit other signals, such as video and computer data. The important aspect of TDM is the fact that each channel is allowed a certain timeslot on the fiber. Almost all of the installed base of fiber optic networks uses TDM with data rates of 45, 155, 622, and 2400 Mbps. Starting in 1995, new TDM networks were installed at 10 Gbps, allowing more than 160,000 telephone calls (or 1000 textbooks of 500
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