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Radio Frequency Integrated Circuit Design - Webs

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

Table 4.3<br />

Relationships Between Different Parameter Sets<br />

S Z Y<br />

(Yo − Y11 )(Y22 + Yo ) + Y12Y21 (Y11 + Yo )(Y22 + Yo ) − Y12Y21 S11 S11 (Z 11 − Z o )(Z22 + Z o ) − Z 12 Z 21<br />

(Z 11 + Z o )(Z22 + Z o ) − Z 12 Z 21<br />

−2Y 12Y o<br />

(Y 11 + Y o )(Y 22 + Y o ) − Y 12Y 21<br />

S12 S12 2Z 12 Z o<br />

(Z 11 + Z o )(Z22 + Z o ) − Z 12 Z 21<br />

−2Y 21Y o<br />

(Y 11 + Y o )(Y 22 + Y o ) − Y 12Y 21<br />

S21 S21 2Z 21 Z o<br />

(Z 11 + Z o )(Z22 + Z o ) − Z 12 Z 21<br />

(Yo + Y11 )(Yo − Y22 ) + Y12Y21 (Y11 + Yo )(Y22 + Yo ) − Y12Y21 Y22<br />

Y11Y22 − Y12Y21<br />

−Y12<br />

Y11Y22 − Y12Y21<br />

−Y 21<br />

Y 11Y 22 − Y 12Y 21<br />

Y11 Y11Y22 − Y12Y21 S22 S22 (Z 11 + Z o )(Z22 − Z o ) − Z 12 Z 21<br />

(Z 11 + Z o )(Z22 + Z o ) − Z 12 Z 21<br />

Z 11 (1 + S11 )(1 − S22 ) + S12 S21 Z 11<br />

Z o<br />

(1 − S11 )(1 − S22 ) − S12 S21<br />

Z 12<br />

2S12<br />

Z 12<br />

Z o<br />

(1 − S11 )(1 − S22 ) − S12 S21<br />

Z 21<br />

2S21 Z 21<br />

Z o<br />

(1 − S11 )(1 − S22 ) − S12 S21 Z 22 (1 + S22 )(1 − S11 ) + S12 S21 Z 22<br />

Z o (1 − S11 )(1 − S22 ) − S12 S21 Y 11<br />

Z 22<br />

Z 11 Z 22 − Z 12 Z 21<br />

(1 + S22 )(1 − S11 ) + S12 S21 (1 + S11 )(1 + S22 ) − S12 S21 Y o<br />

Y 11<br />

Y 12<br />

−Z 12<br />

Z 11 Z 22 − Z 12 Z 21<br />

−2S12 (1 + S11 )(1 + S22 ) − S12 S21 Y o<br />

Y 12<br />

Y21<br />

−Z 21<br />

Z 11 Z 22 − Z 12 Z 21<br />

−2S21<br />

(1 + S11 )(1 + S22 ) − S12 S21<br />

Y o<br />

Y21<br />

Y 22<br />

Z 11<br />

Z 11 Z 22 − Z 12 Z 21<br />

(1 − S22 )(1 + S11 ) + S12 S21 (1 + S11 )(1 + S22 ) − S12 S21 Y 22<br />

Yo

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