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Radio Frequency Integrated Circuit Design - Webs

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

Figure 4.10 Matching process.<br />

Solution<br />

Using the techniques above, two matching circuits as shown in Figure 4.11 are<br />

designed. The frequency response can be determined with the results shown in<br />

Figure 4.12. It would seem from this diagram that for the lowpass matching<br />

network, the signal can be transferred from dc to the −3-dB corner at about<br />

1.53 GHz. However, as seen in the plot of the input impedance in Figure 4.13,<br />

the impedance is only matched in a finite band around the center frequency.<br />

For the lowpass network, the impedance error is less than 25� from 0.78 to<br />

1.57 GHz. It can be noted that if the mismatch between the source and the<br />

load is increased, the bandwidth of the matching circuit will be narrower.<br />

For optimal power transfer and minimal noise, impedance should be<br />

controlled (although the required impedance for optimal power transfer may<br />

not be the value for minimal noise). Also, sources, loads, and connecting cables<br />

or transmission lines will be at some specified impedance, typically 50�.

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