← Back to CoursesElectronics: PhD Level

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Memory Deck

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RF, Microwave, and High-Frequency Electronics

Manual: General · Subject: Electronics

Develop the tools for analyzing transmission lines, S-parameters, matching networks, and millimeter-wave circuits.

Transmission Lines and S-Parameters

When lumped models fail

At high frequency, circuit dimensions become comparable to wavelength, so voltage and current must be treated as waves on transmission lines. Scattering parameters S11S_{11}, S21S_{21}, and others replace low-frequency impedance models because they are stable and measurable under matched conditions.

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Practical rule

When interconnect delay is a significant fraction of the signal period, distributed effects and reflections must be modeled explicitly.

Impedance Matching and Power Transfer

Matching networks

Matching networks transform impedances to maximize power transfer and reduce reflections. At RF, matching is also tied to noise figure, linearity, and stability, so the optimum source and load impedances may differ from the simple conjugate-matching condition of elementary network theory.

What do S-parameters primarily describe?

What is the basic role of an impedance matching network?

High-frequency design concerns

IssueEffect
Parasitic inductanceCan create resonances and overshoot
Parasitic capacitanceCan limit bandwidth and cause pole splitting
Skin effectRaises effective resistance at high frequency
Substrate couplingCreates unwanted signal paths