EECS 723 Class Handouts

 

 

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Section 2.1: The Lumped-Element Circuit Model for a Transmission Line

 

The Telegrapher Equations

The Transmission Line Wave Equation

The Characteristic Impedance of a Transmission Line

The Complex Propagation Constant

The Lossless Transmission Line

 

 

Section 2.3: The Terminated, Lossless Transmission Line

 

The Teminated Lossless Transmission Line

Transmission Line Input Impedance

Example: Input Impedance

Power Flow and Return Loss

VSWR

The Reflection Coefficient Transformation

The Transmission Coefficient T

 

 

Section 2.4: The Smith Chart

 

The Complex G Plane

The Reflection Coefficient Transformation

Transformations on the Complex G Plane

Mapping Z to G

The Smith Chart

Zin Calculations using the Smith Chart

Example: The Load Impedance

Example: The Shorted Transmission Line

Example:  Determining the length of a T. L.

Example: Admittance Calculations with the Smith Chart

 

 

Section 2.5: The Quarter-Wave Transformer

 

The Quarter-Wave Transformer

The Multiple Reflection Viewpoint

 

 

Section 2.6: Generator and Load Mismatches

 

A T. L. Connecting Source and Load

Delivered Power

 

 

Section 2.7: Lossy Transmission Lines

 

The Distortionless Line

 

 

Section 3.5: The Coaxial Line

 

Coaxial Transmission Lines

Coaxial Connectors

 

 

Section 3.7: Stripline

 

Printed Circuit Board Transmission Lines

Stripline Transmission Lines

 

 

Section 3.8: Microstrip

 

Microstrip Transmission Lines

 

 

Section 3.11: Summary of Transmission Lines and Waveguides

 

A Comparison of Common Transmission Lines and Waveguides

 

 

Section 4.2: Impedance and Admittance Matricies

 

The Impedance Matrix

The Admittance Matrix

Example: The Admittance Matrix

Example: Using the Impedance Matrix

 

 

Section 4.3: The Scattering Matrix

 

The Scattering Matrix

Example: The Scattering Matrix

Matched, Reciprocal, Lossless

Example: A Lossless, Reciprocal Network

Example: Determining the Scattering Matrix

 

 

Section 4.4: The Transmission Matrix

 

The Transmission Matrix

 

 

Section 4.5: Signal Flow Graphs

 

Rules for Signal Flow Graph Decomposition

Example: Decomposition of a Signal Flow Graph

 

 

Section 5.1: Matching with Lumped Elements

 

L-Network Analysis

 

 

Section 5.2: Single-Stub Tuning

 

Shunt-Stub Tuning

Series-Stub Tuning

 

 

Section 5.3: Double-Stub Tuning

 

Double-Stub Tuning

 

 

Section 5.4: The Quarter-Wave Transformer

 

The Quarter-Wave Transformer Yet Again

 

 

Section 5.5: The Theory of Small Reflections

 

The Multisection Transformer

 

 

Section 5.6: The Binomial Multisection Transformer

 

The Binomial Matching Transformer

 

 

Section 5.7: The Chebychev Matching Transformer

 

The Chebychev Matching Transformer

 

 

Section 5.8: Tapered Lines