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Admittance can be depicted on a plane that looks just like the complex impedance (RX) plane. Actually, it s a half plane, because there is ordinarily no such thing as negative conductance. (You can t have something that conducts worse than not at all.) Conductance is plotted along the horizontal, or G, axis on this coordinate half plane, and susceptance is plotted along the B axis. The plane is shown in Fig. 15-9 with several points plotted. Although the GB plane looks superficially identical to the RX plane, the difference is great indeed! The GB plane is literally blown inside-out from the RX plane, as if you had jumped into a black hole and undergone a spatial transmutation, inwards out and outwards in, turning zero into infinity and vice-versa. Mathematicians love this kind of stuff. The center, or origin, of the GB plane represents that point at which there is no conduction of any kind whatsoever, either for direct current or for alternating current. In the RX plane, the origin represents a perfect short circuit; in the GB plane it corresponds to a perfect open circuit. The open circuit in the RX plane is way out beyond sight, infinitely far away from the origin. In the GB plane, it is the short circuit that is out of view.

The Colpitts Circuit The capacitance can be tapped, instead of the inductance, in the tuned circuit of an RF oscillator. Such a circuit is called a Colpitts oscillator, and a P-channel JFET version is diagrammed in Fig. 24-14. The amount of feedback is controlled by the ratio of the capacitances. A variable inductor provides for frequency adjustment. This is a matter of convenience, because it can be difficult to find a dual

As you move out towards the right ( east ) along the G, or conductance, axis of the GB plane, the conductance improves, and the current gets greater, but only for dc. The formula for G is simply G 1/R

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the user in Madrid is confidential, which means that it should probably be encrypted to protect its integrity. And because the message is large, the sender will probably compress it to reduce the time it takes to transmit it. Compression, which will be discussed in more detail later, is simply the process of eliminating redundant information from a file before it is transmitted or stored to make it easier to manage. Another problem has to do with the manner in which the information being transmitted is represented. The PC-based Eudora message encodes its characters using a 7-bit character set, the American Standard Code for Information Interchange (ASCII). A sample of the ASCII codeset is shown later in Table 2-1. Mainframes, however, often use a different codeset called the Extended Binary Coded Decimal Interchange Code (EBCDIC). The ASCII traffic must be converted to EBCDIC if the mainframe is to understand it, and vice versa, as shown in Figure 2-5.

variable capacitor that maintains the correct ratio of capacitances throughout its tuning range. Using fixed capacitors eliminates this problem, and it costs less, too! Unfortunately, finding a good variable inductor for use in a Colpitts oscillator can be just about as hard as obtaining a suitable dual-gang variable capacitor. A permeability-tuned coil can be used, but ferromagnetic cores impair the frequency stability of an RF oscillator. A roller inductor can be employed, but these are bulky and expensive. An inductor with several switch-selectable taps can be used, but this does not allow for continuous frequency adjustment. Despite these shortcomings, the Colpitts circuit offers exceptional stability and reliability when properly designed, and is preferred by some engineers for this reason.

It won t hurt to review the formulas for susceptance again. They can get a little bit confusing, especially after having worked with reactance.

The Clapp Circuit A variation of the Colpitts oscillator makes use of series resonance, instead of parallel resonance, in the tuned circuit. Otherwise, the circuit is basically the same as the parallel-tuned Colpitts oscillator. Figure 24-15 is a schematic diagram of a series-tuned Colpitts oscillator circuit that uses an NPN bipolar transistor. This circuit is also known as a Clapp oscillator. Its frequency won t change much when high-quality components are used. The Clapp oscillator is a reliable circuit. It isn t hard to get it to oscillate and keep it going. Another advantage of the Clapp circuit is that it allows the use of a variable capacitor for frequency control, while accomplishing feedback through a capacitive voltage divider. Getting the Output In the Hartley, Colpitts, and Clapp oscillators just described and shown in Figs. 24-13 through 24-15, the output is taken from the emitter or source, not from the collector or drain. There s a reason for this. The output of an oscillator can be taken from the collector or drain, just as is done in a common emitter or common-source amplifier to get maximum gain. But in an oscillator, stabil-

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