## Description

ECE 404: Radio Frequency Electronic Circuits is a 3-credit course taught at Michigan State University for Electrical and Computer Engineering majors. There are three 50-minute lectures per week. * The catalog description for this course is: Radio frequency active and passive circuit design. Impedance matching for specific bandwidths. Tuned amplifier, filter, mixer, and oscillator analysis. *The prerequisites for this course are ECE 302, ECE 303 and ECE 305.

The companion textbooks used in this course are :

C. Bowick, RF Circuit Design, Newnes, 1997, ISBN:0-7506-9946-9

G. Gonzalez, Microwave Transistor Amplifiers: Analysis and Design, Prentice Hall, 1997

**Table of Contents**

Chapter 1: Resonant Circuits

1.1 Review of Phasors

Vector Representation of Sinusoids, Euler’s Formula, Complex Numbers, Rectangular and Polar Form, Phasor Transform, Inverse Phasor Transform, Addition- Subtraction- Multiplication-Division of Complex Numbers, Impedance, Admittance, Phasor Circuit Analysis, SPICE, Resonant Frequency of an Impedance.

1.2 Review of Bode Diagrams

Product of Terms, Decibel, First-Order Inspections Forms, Making Log Paper and Reading Points, Audio Frequency Inverting Amplifier, Second-Order Inspection Forms, RLC Low-Pass Filter, Hiss Filter, RLC High-Pass Filter, RLC Band-Pass Filter, RLC Band-Stop Filter.

1.3 Series Resonance

Lossless Components.

1.4 Parallel Resonance

Lossless Components, Band-Pass Filter, Band-Pass Filter with Load.

1.5 Components

Resistivity of Wire, AWG, Wire Inductance, Equivalent Circuit of a Resistor, Equivalent Circuit of a Capacitor, Insulation Resistance, Dissipation Factor, Quality Factor, Self Resonance of a Capacitor, Equivalent Circuit of an Inductor, Effective Series Resistance, Self Resonance of an Inductor, Dissipation Factor, Quality Factor, Air-Core Inductor.

1.6 Series-to-Parallel Transformations

Series-to-Parallel Inspection Formulas.

1.7 Insertion Loss

Definition of Insertion Loss, Maximum Power Transfer.

1.8 Impedance Transformations

Ideal Transformer, Tapped Capacitor Circuit, Performance Analysis with Pspice, Goal Functions, Tapped Inductor Circuit, Mutual Inductance, Coefficient of Coupling, Reflected Impedance.

Chapter 1: Supplemental Problems and Solutions

S1.1, S1.2, S1.3, S1.4, S1.5, S1.6, S1.7, S1.8, S1.9, S1.10, S1.11, S1.12, S1.13, S1.14, S1.15, S1.16, S1.17, S1.18, S1.19, S1.20, S1.21

Chapter 2: Impedance Matching

2.1 Introduction

Complex Maximum Power Transfer, Impedance Matching.

2.2 The L Network

Low-Pass Configurations, High-Pass Configurations, Design Equations, Parasitic Effects.

2.3 Three-Element Matching

Pi-Network, Four Filter Configurations, T-Network, Four Filter Configurations.

2.4 Smith Chart

Impedance Properties, Plotting Impedance Values, Impedance Scaling, Impedance Manipulation, Admittance Properties, Admittance Manipulation, Conversion of Impedance to Admittance.

2.5 Impedance Matching on the Smith Chart

Two-Element Matching, Three-Element Matching, T-Networks, Pi-Networks.

Chapter 2: Supplemental Problems and Solutions

S2.1, S2.2, S2.3, S2.4

Chapter 3: Small-Signal RF Amplifiers

3.1 BJT Equivalent Circuits

Giacoletto Model, Gain-Bandwidth-Product, SPICE, DC Results, AC – Mid-Band Results, AC – High Frequency Results, Miller Effect.

3.2 Two-Port Parameters

Y-Parameters, H-Parameters, Chain Parameters, Interconnection of Two-Ports, Parallel Input – Parallel Output, Chain-Connection.

3.3 Transmission Line Concepts

Distributed Circuit Model, Lossless Transmission Line, Characteristic Impedance, Wave Functions, Incident Wave, Reflected Wave, Reflection Coefficient, Voltate-Standing-Wave Ratio, Matched Transmission Line, Shorted Transmission Line, Open Transmission Line, Quarter-Wave Transmission Line, SPICE model, Lossy Transmission Line, Scattering Parameters, T-Parameters, Shifting of Reference Planes, Properties of Scattering Parameters, Stability, Transducer Power Gain, Two-Port Analysis.

3.4 Characteristics of Microwave Transistors

Scattering Parameter Analysis.

3.5 The Smith Chart

Derivation of the Smith Chart, Transmission Line Input Impedance, Load Reflection Coefficient and VSWR, Transistor Scattering Parameters with Ansoft Designer.

Chapter 3: Supplemental Problems and Solutions

S3.1, S3.2, S3.3, S3.4, S3.5, S3.6, S3.7, S3.8, S3.9, S3.10, S3.11, S3.12, S3.13, S3.14, S3.15, S3.16, S3.17

Chapter 4: Small-Signal RF Amplifier Design

4.1 Designing with Y-Parameters

Linvill Stability Factor, Stern Stability Test, Maximum Available Gain, Transducer Gain, Simultaneous Conjugate Matching, Designing with Potentially Unstable Transistors, Generating Two-Port Parameters with Ansoft Designer.

Chapter 4: Supplemental Problems and Solutions

S4.1, S4.2, S4.3, S4.4, S4.5, S4.6

Chapter 5: Oscillator Circuits

5.1 Introduction to Sinusoidal Oscillators

5.2 Phase Shift Oscillator

Conditions for Oscillation

5.3 Wien Bridge Oscillator

Conditions for Oscillation, Stablizer

5.4 Colpitts Oscillator

Conditions for Oscillation, Biasing, Design of 10.7 MHz Oscillator

Appendix A: Transients

Reflections, Multiple Reflections Algorithm, Graphical Algorithm, Non-Linear Loads