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to accomplish this task The time step is increased after the event, until the next cycle, when it is again reduced This time step hysteresis can cause an excessive number of unnecessary calculations To correct this problem, we can regress to a SPICE 2 methodology and force the simulator to have a xed time step value To force the time step to be a xed value, set the TRTOL value to 25, ie, OPTIONS TRTOL =25 The default value is 7 The Trtol parameter controls how far ahead in time SPICE tries to jump The value of 25 causes PSpice to try to jump far ahead Then set TMAX (maximum allowed time step) in the TRAN statement to a value that is between 1/10 and 1/100 of the switching cycle period This has the opposite effect; it forces the time step to be limited.

544 Mbps of bandwidth; DS3, which offers 44736 Mbps of bandwidth; and SONET, which offers a wide range of bandwidth from 5184 Mbps to as much as 40 Gbps The alternative to a dedicated facility is a switched service, such as frame relay, ATM, or in some cases Gigabit Ethernet These technologies provide virtual circuits : Instead of dedicating physical facilities, they dedicate logical timeslots to each customer, who then shares access to physical network resources In the case of frame relay, the service can provide bandwidth as high as DS3, thus providing an ideal replacement technology for lower-speed dedicated circuits ATM, on the other hand, operates hand in glove with SONET and is Gigabit Ethernet, particularly when deployed in a switched configuration, offering speeds in excess of 1 Gbps Finally, optical networking is carving out a large niche.

rates also drove down interest expense. Interest costs are Citigroup s most significant expense item. Citigroup s income from continuing operations before income tax increased, growing by 16.4 percent and 3.6 percent over the last two years, and 11.6 percent over the third quarter. As far as growth goes, let s see what the experts think. Zacks Investment Research gathers information from stock market analysts relating to earnings estimates and stock recommendations. Zacks looks

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Together, they effectively lock the simulator time step to a value that is between 1/10 and 1/100 of the switching cycle period and eliminate virtually all of the rejected time points These settings can result in over a 100% increase in speed! Note: In order to verify the number of accepted and rejected time points, you may issue the OPTIONS ACCT parameter and view the summary data at the end of the output le If this does not help the simulation converge, proceed to the next section that has more details Simulation Convergence The answer to a nonlinear problem, such as those in the SPICE DC and transient analyses, is found via an iterative solution For example, PSpice makes an initial guess at the circuit s node voltages and then, using the circuit conductances, calculates the mesh currents.

for itself as a bandwidth-rich solution with the potential for inherent quality of service (QoS). We begin our discussion with dedicated private line technologies, otherwise known as point-to-point technologies.

Point-to-point technologies do exactly what their name implies: They connect one point directly with another For example, it is common for two buildings in a downtown area to be connected by a point-to-point microwave or infrared circuit, because the cost of establishing it is far lower than the cost of putting in physical facilities in a crowded city Many businesses rely on dedicated, point-to-point optical facilities to interconnect locations, especially businesses that require dedicated bandwidth for high-speed applications Of course, point-to-point does not necessarily imply high bandwidth; many locations use 1544 Mbps T1 or 2048 Mbps E1 facilities for interconnection, and some rely on lowerspeed circuits where higher bandwidth is not required Dedicated facilities provide bandwidth from as low as 2,400 bits per second to as high as multiple gigabits per second.

EXHIBIT 8-4