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Wire-Wound Types In wire-wound RF transformers, powdered-iron cores can be used up to quite high frequencies. Toroidal cores are common, because they are self-shielding (all of the magnetic flux is confined within the core material). The number of turns depends on the frequency, and also on the permeability of the core. In high-power applications, air-core coils are often preferred. Although air has low permeability, it has negligible hysteresis loss, and will not heat up or fracture as powdered-iron cores sometimes do. The disadvantage of air-core coils is that some of the magnetic flux extends outside of the coil. This affects the performance of the transformer when it must be placed in a cramped space, such as in a transmitter final-amplifier compartment. A major advantage of coil-type transformers, especially when they are wound on toroidal cores, is that they can be made to work over a wide band of frequencies, such as from 3.5 MHz to 30 MHz. These are called broadband transformers. Transmission-Line Types As you recall, any transmission line has a characteristic impedance, or Zo, that depends on the line construction. This property is sometimes used to make impedance transformers out of coaxial or parallel-wire line. Transmission-line transformers are always made from quarter-wave sections. From the previous chapter, remember the formula for the length of a quarter-wave section:

Imagine placing an ac voltage source across a capacitor. Suppose that the frequency is high enough, and/or the capacitance large enough, so that the capacitive reactance, XC, is extremely small compared with the resistance, R. Then the current leads the voltage by a full 90 degrees (Fig. 14-8). At very high frequencies, it doesn t take very much capacitance for this to happen. Small capacitors usually have less leakage resistance than large ones. At lower frequencies, the capacitance must be larger, although high-quality, low-loss capacitors are not too difficult to manufacture except at audio frequencies and at the 60-Hz utility frequency. The situation depicted in Fig. 14-8 represents an essentially pure capacitive reactance. The vector in the RC plane points just about straight down. Its angle is 90 degrees from the R axis or zero line.

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L ft = 246v/fo where L ft is the length of the section in feet, v is the velocity factor expressed as a fraction, and fo is the frequency of operation in megahertz. If the length Lm is specified in meters, then: Lm = 75v/fo Suppose that a quarter-wave section of line, with characteristic impedance Zo, is terminated in a purely resistive impedance R out. Then the impedance that appears at the input end of the line, Rin, is also a pure resistance, and the following relations hold: Zo2 = RinR out Zo = (RinR out)1/2 This is illustrated in Fig. 18-11. The first of the preceding formulas can be rearranged to solve for Rin in terms of Rout, or vice versa: Rin = Zo2/R out R out = Zo2/R in

The AAL comprises two functional sublayers. The Convergence sublayer provides service-specific functions to the Services layer so that it can make the most efficient use of the underlying cell relay technology that ATM provides. The Convergence sublayer s functions include clock recovery for end-to-end timing management, a recovery mechanism for lost or out-of-order cells, and a timestamp capability for time-sensitive traffic such as voice and video. The Segmentation and Reassembly sublayer (SAR) converts the user s data from its original incoming form into the 48-octet payload chunks that will become cells. For example, if the user s data is arriving in the form of 64KB IP packets, SAR chops them into 48-octet payload pieces. It also has the responsibilities of detecting lost or out-of-order cells that the Convergence sublayer will recover from and detecting single bit errors in the payload chunks. The ATM layer has five general responsibilities:

When the resistance in a resistance-capacitance circuit is significant compared with the capacitive reactance, the current leads the voltage by something less than 90 degrees (Fig. 14-9). If R is small compared with XC, the difference is almost a quarter of a cycle. As R gets larger, or as XC becomes smaller, the phase difference gets less. A circuit containing resistance and capacitance is called an RC circuit.

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