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Radio Frequency Integrated Circuit Design - Webs

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LNA <strong>Design</strong><br />

165<br />

inductor is increased, the impedance will (at some point) have a real<br />

part equal to 50�.<br />

4. The last step in the matching is simply to place an inductor in series<br />

with the base L b . Without this inductor, the input impedance is<br />

capacitive due to C� . This inductor is sized so that it resonates with<br />

L e and C� at the center frequency of the design. This makes the<br />

resultant input impedance equal to 50� with no additional reactive<br />

component.<br />

The technique above has several advantages over other matching techniques.<br />

It is simple and requires only one additional matching component in<br />

series with the input of the transistor. It produces a relatively broadband match<br />

and it achieves simultaneous noise and power matching of the transistor. This<br />

makes it a preferred method of matching.<br />

There are many instances where this method cannot be applied without<br />

modification. For some designs, power constraints may not accommodate the<br />

necessary current to achieve the best noise performance. In this case, the design<br />

could proceed as before, except with a less than optimum current density. In<br />

other cases, the design may not provide the necessary gain required for some<br />

applications. In this case, more current may be needed or some other matching<br />

technique that does not require degeneration may have to be employed. Also,<br />

linearity constraints may demand a larger amount of degeneration than this<br />

method would produce.<br />

Example 6.10 Simultaneous Noise and Power Matching<br />

<strong>Design</strong> an LNA to work at 5 GHz using a 1.8-V supply with the simultaneous<br />

noise and power matching technique discussed in this chapter. For the purpose<br />

of this example, design a simple buffer so that the circuit can drive 50�. Assume<br />

that a 50-GHz 0.5-�m SiGe technology is available.<br />

Solution<br />

At 1.8V it is still possible to design an LNA using a cascode configuration. The<br />

cascode transistor can have its base tied to the supply. A simple output buffer<br />

that will drive 50� quite nicely is an emitter follower. Thus, the circuit would<br />

be configured as shown in Figure 6.17. In this case, V bias will be set to 1.8V.<br />

The buffer should be designed to accommodate the linearity required by the<br />

circuit and drive 50�, but for the purposes of this example, we will set the<br />

current I bias at 3 mA. This will mean that the output impedance of the circuit<br />

will be roughly 8.3� and there will be very little voltage loss through the<br />

follower. Note that in industry common-emitter buffers are often used to<br />

drive off-chip loads at this frequency for reasons of stability and short-circuit<br />

protection. However, if the LNA drives an on-chip mixer, this should be fine.

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