Course Modules

1. Sources, Loads, and Power Transfer

1. Sources, Loads, and Power Transfer 1. Sources, Loads, and Power Transfer

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Time-Harmonic Solutions of Linear Circuits Time-Harmonic Solutions of Linear Circuits 1

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Time Harmonic Solutions of Linear Circuits Video Time Harmonic Solutions of Linear Circuits Video 2

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Impedance Impedance 3

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Impedance Video Impedance Video 4

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Connecting Source and Load Connecting Source and Load 5

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Connecting Source and Load Video Connecting Source and Load Video 6

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Special Case of Source and Load Impedance Special Case of Source and Load Impedance 7

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Special Cases of Source and Load Impedance Video Special Cases of Source and Load Impedance Video 8

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Multi-Port Networks and the Impedance Matrix Multi-Port Networks and the Impedance Matrix 9

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Multiport Networks and the Impedance Matrix Video Multiport Networks and the Impedance Matrix Video 10

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Example: Using the Impedance Matrix Example: Using the Impedance Matrix 11

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Example: Using the Impedance Matrix Video Example: Using the Impedance Matrix Video 12

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The Admittance Matrix The Admittance Matrix 13

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Example: Evaluating the Admittance and Impedance Matrix Example: Evaluating the Admittance and Impedance Matrix 14

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Reciprocal and Lossless Devices Reciprocal and Lossless Devices 15

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Two-Port Networks Two-Port Networks 16

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Two Port Networks Video Two Port Networks Video 17

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Impedance Transformers Impedance Transformers 18

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Impedance Transformers Video Impedance Transformers Video 19

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Source Transformers Source Transformers 20

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Source Transformers Video Source Transformers Video 21

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The Powers That Be The Powers That Be 22

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The Powers that Be Video The Powers that Be Video 23

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Available Power Transformation Available Power Transformation 24

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Available Power Transformation Video Available Power Transformation Video 25

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Matching Networks Matching Networks 26

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Matching Networks Video Matching Networks Video 27

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2. The Transmission Line

2. The Transmission Line 2. The Transmission Line

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Transmission Lines Transmission Lines 2

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Transmission Line Parameters Transmission Line Parameters 4

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Transmission Line Index Transmission Line Index 6

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Current and Voltage along a Transmission Line Current and Voltage along a Transmission Line 8

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The Telegrapher's Equation The Telegrapher's Equation 10

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The Transmission Line Wave Equations The Transmission Line Wave Equations 12

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The Characteristic Impedance of a Transmission Line The Characteristic Impedance of a Transmission Line 15

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Line Impedance Line Impedance 16

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3. Circuits or Waves?

3. Circuits or Waves? 3. Circuits or Waves?

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The Wave Interpretation The Wave Interpretation 1

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The Complex Propagation Constant The Complex Propagation Constant 2

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The Propagation Constant Alpha The Propagation Constant Alpha 3

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The Propagation Constant Beta The Propagation Constant Beta 4

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The Lossless Transmission Line The Lossless Transmission Line 5

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Transmission Line Wave Propagation Transmission Line Wave Propagation 6

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Phase Velocity Phase Velocity 7

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Dispersion Dispersion 8

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A Wave Interpretation of Characteristic Impedance A Wave Interpretation of Characteristic Impedance 9

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The Reflection Coefficient The Reflection Coefficient 12

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Voltage, Current, Impedance--or plus-Wave, minus-Wave, Reflection Coefficient Voltage, Current, Impedance--or plus-Wave, minus-Wave, Reflection Coefficient 13

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Example: Fun with the telegrapher's equations Example: Fun with the telegrapher's equations 14

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Electrical Distance and Electrical Length Electrical Distance and Electrical Length 15

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Periodicity in Transmission Line Solutions Periodicity in Transmission Line Solutions 16

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Page

Energy Flow Energy Flow 17

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4. A Transmission Line with a Passive Load

4. A Transmission Line with a Passive Load 4. A Transmission Line with a Passive Load

Attachment

The Lossless, Terminated Transmission Line The Lossless, Terminated Transmission Line 2

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Attachment

A Summary of the Terminated Transmission Line A Summary of the Terminated Transmission Line 3

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Attachment

Standard Transmission Line Indexes Standard Transmission Line Indexes 4

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Attachment

Incident, Reflected and Absorbed Power Incident, Reflected and Absorbed Power 5

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Attachment

Special Cases of a Terminated LIne Special Cases of a Terminated LIne 6

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Attachment

The Complex Impedance and Complex Gamma Plane The Complex Impedance and Complex Gamma Plane 7

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The Complex Gamma Plane The Complex Gamma Plane 8

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Attachment

Special Values of Load Impedance: A Reactive Load Special Values of Load Impedance: A Reactive Load 9

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Attachment

Special Values of Load Impedance: A Resistive Load Special Values of Load Impedance: A Resistive Load 10

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Attachment

Special Values of Load Impedance: Short Circuit Special Values of Load Impedance: Short Circuit 11

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Attachment

Special Values of Load Impedance: Open Circuit Special Values of Load Impedance: Open Circuit 12

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Attachment

Special Values of Load Impedance: The Matched Load Special Values of Load Impedance: The Matched Load 13

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Attachment

Special Values of Load Impedance: The Matched Reactance Special Values of Load Impedance: The Matched Reactance 14

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Attachment

The Transmission Line Input Impedance The Transmission Line Input Impedance 16

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Attachment

A Transmission Line Terminated in a Reactive Load A Transmission Line Terminated in a Reactive Load 17

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Attachment

A Transmission Line Terminated in a Resistive Load A Transmission Line Terminated in a Resistive Load 18

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Attachment

A Transmission Line Terminated in a Matched Load A Transmission Line Terminated in a Matched Load 19

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Attachment

A Transmission Line Terminated in a Short Circuit A Transmission Line Terminated in a Short Circuit 20

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Attachment

A Transmission Line Terminated in an Open Circuit A Transmission Line Terminated in an Open Circuit 21

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Special Cases of Electrical Length: Half-Wave Special Cases of Electrical Length: Half-Wave 22

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Special Cases of Electrical Length: Quarter Wave Special Cases of Electrical Length: Quarter Wave 23

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Special Cases of Electrical Length: Eighth Wave Special Cases of Electrical Length: Eighth Wave 24

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Attachment

Example: Input Impedance Example: Input Impedance 25

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5. The Smith Chart

5. The Smith Chart 5. The Smith Chart

Page

Transformations on the Gamma Plane Transformations on the Gamma Plane 3

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Page

Mapping Impedance to Gamma Mapping Impedance to Gamma 4

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The Smith Chart The Smith Chart 5

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Smith Chart Geography Smith Chart Geography 6

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Page

The Outer Scale The Outer Scale 7

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Input Impedance Calculations using the Smith Chart Input Impedance Calculations using the Smith Chart 8

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Input Impedance of a Shorted Transmission Line Input Impedance of a Shorted Transmission Line 9

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Page

Input impedance of an Open Transmission Line Input impedance of an Open Transmission Line 10

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Load Impedance Calculations with a Smith Chart Load Impedance Calculations with a Smith Chart 11

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Page

A Transmission Line as an Impedance Transformer A Transmission Line as an Impedance Transformer 12

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Impedance and Admittance Impedance and Admittance 13

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Admittance and the Smith Chart Admittance and the Smith Chart 14

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Admittance Calculations with the Smith Chart Admittance Calculations with the Smith Chart 15

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6. A Transmission Line with Active Source

6. A Transmission Line with Active Source 6. A Transmission Line with Active Source

Page

An active source and transmission line An active source and transmission line 1

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Example Boundary Conditions and Sources Example Boundary Conditions and Sources 2

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The Matched Source The Matched Source 3

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Ouput Impedance Ouput Impedance 4

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7. A Transmission Line Connecting Source and Load

7. A Transmission Line Connecting Source and Load 7. A Transmission Line Connecting Source and Load

Page

A Transmission Line Connecting Source and Load A Transmission Line Connecting Source and Load 2

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Page

Energy Flow along a Transmission Line Energy Flow along a Transmission Line 3

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Incident and Reflected Power with Source an Load Incident and Reflected Power with Source an Load 4

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Delivered and Absorbed Power Delivered and Absorbed Power 5

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Example Conservation of Energy and You Example Conservation of Energy and You 6

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Maximum Power Transfer Along a Transmission Line Maximum Power Transfer Along a Transmission Line 7

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8. Matched Devices and Systems

8. Matched Devices and Systems 8. Matched Devices and Systems

Attachment

Matched Components Matched Components 2

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Return Loss and VSWR Return Loss and VSWR 3

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9. Transmission Line Circuits

9. Transmission Line Circuits 9. Transmission Line Circuits

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Transmission Line Circuits Transmission Line Circuits 2

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The Boundary Between Dissimilar Lines The Boundary Between Dissimilar Lines 3

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A Boundary Condition Example A Boundary Condition Example 4

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Another Boundry Condition Example Another Boundry Condition Example 5

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Example: The Accordion Example: The Accordion 6

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Another Equivalent Circuit Example Another Equivalent Circuit Example 7

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Transmission Line Identities Transmission Line Identities 8

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Example: Using Periodicity Identities Example: Using Periodicity Identities 9

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Page

Reflection Symmetry in Circuits Reflection Symmetry in Circuits 10

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Page

Odd-Even Mode Analysis Odd-Even Mode Analysis 11

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Page

Odd-Even Mode Sources Odd-Even Mode Sources 12

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An Even-Odd Mode Example An Even-Odd Mode Example 13

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Another Even-Odd Mode Analysis Example Another Even-Odd Mode Analysis Example 14

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10. Physical Realizations of Transmission Lines

10. Physical Realizations of Transmission Lines 10. Physical Realizations of Transmission Lines

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Coaxial Transmission Lines Coaxial Transmission Lines 3

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Page

Coaxial Connectors Coaxial Connectors 4

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Page

Printed Circuit Board Transmission LInes Printed Circuit Board Transmission LInes 5

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Microstrip Microstrip 6

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Stripline Stripline 7

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Waveguide Waveguide 8

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A Comparison of Common Transmission Lines A Comparison of Common Transmission Lines 9

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11. The Scattering Matrix

11. The Scattering Matrix 11. The Scattering Matrix

Page

Normalized Wave Functions Normalized Wave Functions 2

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The Scattering Matrix The Scattering Matrix 3

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Page

Example: The Scattering Matrix Example: The Scattering Matrix 4

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Matched Lossless and Reciprocal Matched Lossless and Reciprocal 5

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Page

MLR 3-Port Device MLR 3-Port Device 6

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MLR 4-Port Device MLR 4-Port Device 7

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Circuit Symmetry Circuit Symmetry 8

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Determining the Scattering Matrix Determining the Scattering Matrix 9

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Using a matched source for scattering parameters Using a matched source for scattering parameters 10

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Example Determining a Scattering Matrix Example Determining a Scattering Matrix 11

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The scattering matrix of a transmission line The scattering matrix of a transmission line 12

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The scattering matrix of a connector The scattering matrix of a connector 13

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Example Dissimilar Characteristic Impedances Example Dissimilar Characteristic Impedances 14

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Example: Using odd/even mode analysis for a scattering matrix Example: Using odd/even mode analysis for a scattering matrix 15

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12. Signal Flow Graphs

12. Signal Flow Graphs 12. Signal Flow Graphs

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Signal Flow Graphs Signal Flow Graphs 2

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Series Rule Series Rule 3

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Parallel Rule Parallel Rule 4

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Self-Loop Rule Self-Loop Rule 5

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Splitting Rule Splitting Rule 6

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Example: A Fully Reduced SFG Example: A Fully Reduced SFG 7

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Constructing a SFG for Microwave Networks Constructing a SFG for Microwave Networks 8

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Zero-Valued Branches Zero-Valued Branches 9

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Residual nodes Residual nodes 10

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Example Analysis Using Signal Flow Graphs Example Analysis Using Signal Flow Graphs 11

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Example Decomposition of a Signal Flow Graph Example Decomposition of a Signal Flow Graph 12

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The Propagation Series The Propagation Series 13

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13. Matching Networks

13. Matching Networks 13. Matching Networks

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L-Networks L-Networks 2

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The Shunt Stub Tuner The Shunt Stub Tuner 3

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The Series Stub Tuner The Series Stub Tuner 4

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The Quarter Wave Transformer The Quarter Wave Transformer 6

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The Signal Flow Graph of a Quarter Wave Transformer The Signal Flow Graph of a Quarter Wave Transformer 7

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Multiple Reflection Viewpoint Multiple Reflection Viewpoint 8

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The Theory of Small Reflections The Theory of Small Reflections 9

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Example The theory of small reflections Example The theory of small reflections 10

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Frequency Response of a Quarter-Wave Network Frequency Response of a Quarter-Wave Network 11

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Multi-Section Transformer Multi-Section Transformer 12

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Maximally Flat Functions Maximally Flat Functions 13

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Binomial Multi-section Matching Transformers Binomial Multi-section Matching Transformers 14

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The Chebyshev Matching Transformer The Chebyshev Matching Transformer 15

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Tapered Lines Tapered Lines 16

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14. Dividers and Couplers

14. Dividers and Couplers 14. Dividers and Couplers

Attachment

The T- junction Coupler The T- junction Coupler 2

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The Resistive Divider The Resistive Divider 3

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Analysis of the Resistive Divider Analysis of the Resistive Divider 4

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The Lossless Divider The Lossless Divider 5

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The Circulator The Circulator 6

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The Nearly Ideal T-junction Divider The Nearly Ideal T-junction Divider 7

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The Wilkinson Divider The Wilkinson Divider 8

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The Wilkinson Power Divider The Wilkinson Power Divider 9

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Analysis of the Wilkinson Divider Analysis of the Wilkinson Divider 10

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The Directional Coupler The Directional Coupler 11

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The Quadrature Hybrid The Quadrature Hybrid 12

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A quad-mode analysis of a Quadrature Coupler A quad-mode analysis of a Quadrature Coupler 13

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The 180 degree coupler The 180 degree coupler 14

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Coupled line couplers Coupled line couplers 15

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Analysis and design of coupled line couplers Analysis and design of coupled line couplers 16

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Multi-section coupled-line couplers Multi-section coupled-line couplers 17

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The T- junction Coupler The T- junction Coupler 19

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The Resistive Divider The Resistive Divider 20

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Analysis of the Resistive Divider Analysis of the Resistive Divider 21

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The Lossless Divider The Lossless Divider 22

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The Circulator The Circulator 23

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The Nearly Ideal T-junction Divider The Nearly Ideal T-junction Divider 24

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The Wilkinson Divider The Wilkinson Divider 25

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The Wilkinson Power Divider The Wilkinson Power Divider 26

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Analysis of the Wilkinson Divider Analysis of the Wilkinson Divider 27

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The Directional Coupler The Directional Coupler 28

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The Quadrature Hybrid The Quadrature Hybrid 29

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Attachment

A quad-mode analysis of a Quadrature Coupler A quad-mode analysis of a Quadrature Coupler 30

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The 180 degree coupler The 180 degree coupler 31

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
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Coupled line couplers Coupled line couplers 32

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Analysis and design of coupled line couplers Analysis and design of coupled line couplers 33

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Multi-section coupled-line couplers Multi-section coupled-line couplers 34

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15. Microwave Filters

15. Microwave Filters 15. Microwave Filters

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Two-Port Microwave Components Two-Port Microwave Components 2

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Microwave Filters Microwave Filters 3

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The Filter Bandwidth The Filter Bandwidth 4

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The Filter Transfer Function The Filter Transfer Function 5

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Filter Dispersion Filter Dispersion 6

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The Linear Phase Filter The Linear Phase Filter 7

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Microwave Filter Design Microwave Filter Design 8

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Filter Design Worksheet Filter Design Worksheet 9

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Insertion Loss Insertion Loss 10

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Filter Realizations using Lumped Elements Filter Realizations using Lumped Elements 11

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Filter Transformations Filter Transformations 12

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Richard's Transformations Richard's Transformations 13

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Filter Implementations Filter Implementations 14

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Stepped Impedance Low-pass Filters Stepped Impedance Low-pass Filters 15

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Two-Port Microwave Components Two-Port Microwave Components 17

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Microwave Filters Microwave Filters 18

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The Filter Bandwidth The Filter Bandwidth 19

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The Filter Transfer Function The Filter Transfer Function 20

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Filter Dispersion Filter Dispersion 21

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The Linear Phase Filter The Linear Phase Filter 22

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Microwave Filter Design Microwave Filter Design 23

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Filter Design Worksheet Filter Design Worksheet 24

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Insertion Loss Insertion Loss 25

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Filter Realizations using Lumped Elements Filter Realizations using Lumped Elements 26

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Filter Transformations Filter Transformations 27

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Richard's Transformations Richard's Transformations 28

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Filter Implementations Filter Implementations 29

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Stepped Impedance Low-pass Filters Stepped Impedance Low-pass Filters 30

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16. Microwave Switches

16. Microwave Switches 16. Microwave Switches

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Microwave Switches Microwave Switches 2

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Microwave Switches Microwave Switches 4

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17. Microwave Amplifiers

17. Microwave Amplifiers 17. Microwave Amplifiers

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Microwave Transistor Characteristics Microwave Transistor Characteristics 2

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The Microwave Integrated Circuit The Microwave Integrated Circuit 3

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2-Port Power Gain 2-Port Power Gain 4

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Stability Stability 5

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Single-Stage Transistor Amplifiers Single-Stage Transistor Amplifiers 6

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Microwave Transistor Characteristics Microwave Transistor Characteristics 8

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The Microwave Integrated Circuit The Microwave Integrated Circuit 9

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2-Port Power Gain 2-Port Power Gain 10

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Stability Stability 11

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Single-Stage Transistor Amplifiers Single-Stage Transistor Amplifiers 12

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete