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Radio Frequency Integrated Circuit Design - Webs

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

7.12.1 Sizing Transistors<br />

The differential pair that usually forms the bottom of a double-balanced mixer<br />

is basically an LNA stage, and the transistors and associated passives can be<br />

optimized using the techniques of the previous chapter. The switching quad<br />

transistors are the parts of the circuit unique to the mixer. Usually, these<br />

transistors are sized so that they operate close to their peak f T at the bias current<br />

that is optimal for the differential pair amplifier. In a bipolar design, if the<br />

differential pair transistors are biased at their minimum noise current, then the<br />

switching transistors end up being about one-eighth the size.<br />

7.12.2 Increasing Gain<br />

As shown previously in (7.20), without matching considerations and assuming<br />

full switching of the upper quad, voltage gain is estimated by<br />

vo = 2<br />

�<br />

R C<br />

re + R E<br />

v in<br />

(7.42)<br />

To increase the gain, the choices are to increase the load resistance R C ,<br />

to reduce degeneration resistance R E , or to increase the bias current IB . Since<br />

the output bias voltage is approximately equal to VC ≈ V CC − I B R C , increased<br />

gain will be possible only if adjustments to R C , R E ,orIB do not cause the<br />

switching transistors to become saturated.<br />

7.12.3 Increasing IP3<br />

How to increase IP3 depends on which part of the circuit is compressing.<br />

Compression can be due to overdriving of the lower differential pair, clipping<br />

at the output, or the LO bias voltage being too low, causing clipping at the<br />

collectors of the bottom differential pair. After a problem has been identified,<br />

IP3 can be improved by one or more of the following:<br />

1. If the compression is due to the bottom differential pair (RF input),<br />

then linearity can be improved by increasing R E or by increasing bias<br />

current. We note from (7.42) that increased R E will result in decreased<br />

gain. Increased bias current will increase the gain slightly through a<br />

reduction of re , although this effect will be small if degeneration<br />

resistance is significantly larger than re .<br />

2. Compression caused by clipping at the output is typically due to the<br />

quad transistors going into saturation. Saturation can be avoided by<br />

reducing the bias current or reducing the load resistors. Either technique

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