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MMIC Design LecturesII-4HO

资料介绍
II-4HOII-4. Power Waves and Sp-Parameters
(1) Circuits with Tx-line and Lumped Circuits
Traveling waves in a Tx-line
incident wave a(x) reflected wave b(x)

Lumped Circuits
No Tx-line No Z0 Meaningless Γ0 and ΓIN

V + ( x) = Z0 a( x) V ( x) = Z0 b( x)

1

x
V + ( x) I + ( x) V ( x) Z IN (d ) = I ( x)

Z0 =

V ( x) Γ( x) = + V ( x) Z Z0 Γ0 = L Z L + Z0

→ Power Waves

ICE651 MMIC Design

II-4-1

II-4. Power Waves and Sp-Parameters
(2) Power Waves
Power waves, ap and bp
defined by a linear transformation analogous to the traveling waves

ap ≡

1 [V + Z S I ] (1) 2 RS

traveling waves ai ( xi ) = bi ( xi ) = 1 [Vi ( xi ) + Z 0i I i ( xi )] 2 Z 0i 1 [Vi ( xi ) Z 0i I i ( xi )] 2 Z 0i

1 bp ≡ V Z* I S 2 RS
where RS=Re[ZS] Reasoning

[

]

PAVS
V = ES Z S I ∴ap = ap
2

(2)

1 [ES Z S I +……
标签:II-4HO
MMIC Design LecturesII-4HO
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