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Radio Frequency Integrated Circuit Design - Webs

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274 <strong>Radio</strong> <strong>Frequency</strong> <strong>Integrated</strong> <strong>Circuit</strong> <strong>Design</strong><br />

A brief circuit description will now be provided. The circuit must be dc<br />

biased at some low current. As the oscillation begins, the voltage rises on one<br />

side of the resonator and one transistor starts to turn off while the other starts<br />

to turn on harder and draw more current. As the transistor draws more current,<br />

more current flows through R tail, and thus the voltage across this resistor starts<br />

to rise. This acts to reduce the v BE of the transistor, which acts as feedback to<br />

limit the current at the top and bottom of the swing. The collector waveforms<br />

are shown conceptually in Figure 8.27. Since the current is varying dynamically<br />

over a cycle, and since the resistor R tail does not require as much headroom as<br />

a current source, this allows a larger oscillation amplitude for a given power<br />

supply.<br />

An alternative to the resistor R tail is to use a noise filter in the tail as<br />

shown in Figure 8.26(b) [6]. While the use of the inductor does require more<br />

chip area, its use can lead to a very low-noise bias, leading to low-phase-noise<br />

designs. Another advantage to using this noise filter is that before startup, the<br />

transistor Q 3 can be biased in saturation, because during startup the second<br />

harmonic will cause a dc bias shift at the collector of Q 3, pulling it out of<br />

saturation and into the active region. Also, since the second harmonic cannot<br />

pass through the inductor L tail, there is no ‘‘ringing’’ at the collector of Q 3,<br />

further reducing its headroom requirement.<br />

8.13 The Effect of Parasitics on the <strong>Frequency</strong> of Oscillation<br />

The first task in designing an oscillator is to set the frequency of oscillation<br />

and hence set the value of the total inductance and capacitance in the circuit.<br />

To increase output swing, it is usually desirable to make the inductance as large<br />

as possible (this will also make the oscillator less sensitive to parasitic resistance).<br />

However, it should be noted that large monolithic inductors suffer from limited<br />

Figure 8.27 −G m oscillator with resistive tail collector currents.

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