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Behavioral Modeling of Nonlinear RF and Microwave Devices : Microwave Library - Thomas R. Turlington

Behavioral Modeling of Nonlinear RF and Microwave Devices

Microwave Library


Published: 31st October 1999
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An explanation of behavioural modelling of nonlinear RF and microwave devices, and a presentation of a powerful curve fitting technique that can be used to describe the behaviour and range of microwave components as a function of multiple independent variables. It features easily-understood mathematical formulae. Using the author's behavioural modelling methodology, you should be able to generate equations that provide accurate and acceptable reproductions of nonlinear RF and microwave device performance under various conditions. Specifically, you should be able to obtain more accurate representations of saturation and cut-off behaviour; develop more accurate transistor models to generate improved harmonic power output data as a function of power input ranging from small signal to heavy compression, and bias levels ranging from pinch off to maximum allowable current; gain a unified approach to amplifier and transistor characterization of compression characteristic, 1 dB compression point, saturated power output and 3rd order intercept point; and create trade spaces for optimization of sub-system design. The book covers how behavioural modelling is used for bipolar and MESFET device. The accompanying software contains formulae from the text. System requirements: PC-compatible Windows 95/98 with Excel 7.0 or higher; a 486 processor or higher; 16 MB RAM and 1.5 MB hard disk space.

Prefacep. xiii
Numbers and Tracesp. 1
Common Curve-Fitting Techniquesp. 1
Linear Regressionp. 3
Linear Interpolationp. 3
Logarithmic Regressionp. 3
Power Function Regressionp. 4
Exponential Regressionp. 6
Polynomial Regressionp. 7
Spline Curve Fitsp. 15
Summaryp. 17
Problemp. 18
Referencesp. 19
Traces for Numbersp. 21
A New Approach to Curve Fittingp. 21
Drawing Asymptotesp. 22
The Right-Hand Function (RHF)p. 25
The Left-Hand Function (LHF)p. 27
Building the Curve-Fit Equationp. 33
Software to Assist in Creating Curve-Fit Equationsp. 35
Natural Logarithm Equivalent to the RHFp. 35
Natural Logarithm Equivalent to the LHFp. 37
Applying the New Curve-Fit Techniquep. 37
Adding Dimension to the Curve-Fit Equationp. 40
The Step Function--A Useful Combination of Right-Hand Functionsp. 43
Summaryp. 48
Problemsp. 48
Current Source Behaviorp. 49
Modeling Transistor Device Current Sourcesp. 49
The Curtice Square Law MESFET Modelp. 50
Developing a MESFET Current Source Behavioral Modelp. 51
An Alternate MESFET Current Source Behavioral Modelp. 57
A General MESFET Current Source Behavioral Modelp. 60
Modeling the Bipolar Transistor Current Sourcep. 65
Behavioral Model Examplesp. 68
Summaryp. 83
Problemp. 83
Referencesp. 84
Amplifier Behaviorp. 85
Modeling the Nonlinear Class A Amplifierp. 85
Power-Out Versus Power-Inp. 86
The Relationship Between P[subscript 1dB] and P[subscript sat]p. 91
Defining Amplifier Third-Order Intercept Pointp. 92
Amplifier Stage Phase Shift as a Function of Power Inputp. 98
Defining Power-Added Efficiencyp. 99
Estimating Amplifier Noise Figurep. 100
Summaryp. 103
Problemsp. 105
Power Amplifier Behaviorp. 107
Class AB Amplifiersp. 107
Basis for the Class AB Amplifier Behavioral Modelp. 108
New Parameters for Class AB Amplifier Behavioral Modelsp. 109
Average DC Current as a Function of Power Inputp. 115
Gain as a Function of Average DC Currentp. 118
Summaryp. 131
Problemsp. 133
Modeling It With Frequencyp. 135
Adding Frequency as a Behavioral Model Variablep. 135
Amplifier Gain as a Function of Frequencyp. 135
Ideal Bandpass Amplifier Butterworth Frequency Response Simulationp. 138
Adding Ripple to the Bandpassp. 138
Modeling Measured Small Signal Gain Datap. 148
Saturated Power Output as a Function of Frequencyp. 151
Simulate Saturated Power Output Over the Bandp. 152
Model Measured Saturated Power Output Data Filesp. 153
Bias Coefficient as a Function of Frequencyp. 153
Compression Coefficient as a Function of Frequencyp. 154
Average Bias Current as a Function of Frequency and Power Inputp. 155
Noise Figure as a Function of Frequencyp. 156
Power-Added Efficiency as a Function of Frequencyp. 157
Summaryp. 160
Referencesp. 162
Waxing Hot and Coldp. 163
Adding Temperature as a Variablep. 163
Small Signal Gain Sensitivity to Temperaturep. 164
Saturated Power Output Sensitivity to Temperaturep. 166
Noise Figure Sensitivity to Temperaturep. 168
Summaryp. 173
Problemsp. 174
Probably Not as Expectedp. 175
Accounting for Parameter Variabilityp. 175
Risk Analysis Spreadsheet Add-In Softwarep. 176
Useful Probability Density Functionsp. 176
The Normal (Gaussian) Probability Density Functionp. 177
The Weibull Probability Density Functionp. 179
Develop Conventions for Applying Probability in Device and Circuit Modelsp. 185
Modeling Single Stage Amplifier Small Signal Gain Statisticsp. 187
Modeling Multiple Cascaded Stages on the Same MMICp. 189
Modeling Cascaded Independent Amplifiersp. 192
Amplifier Saturated Power Output Statisticsp. 196
Modeling Population Variations of Small Signal Gain as a Function of Frequencyp. 199
Using Gain and Saturated Power Output Statistics in the Nonlinear Amplifier Behavioral Modelp. 200
Summaryp. 203
Problemsp. 204
Referencesp. 205
Making More Betterp. 207
Obtaining Optimum Performance from Cascaded Amplifier Stagesp. 207
The Noise Figure, Third Order Intercept, Power Consumption Trade Spacep. 208
Joint Intercept Point (JIP) Is Definedp. 209
A Given JIP Can Be Satisfied by an Infinite Set of IIP[subscript 2] and OIP[subscript 1] Value Combinationsp. 210
Use a Spreadsheet to Develop the Trade Spacep. 211
The Noise Figure, Current Consumption, Input Third-Order Intercept Trade Spacep. 218
Expanding the Trade Space to More Than Two Amplifier Stagesp. 219
Trades Involving Number of Amplifier Stages and Amplifier Stage Small Signal Gainp. 221
Assign 7 dB Small Signal Gain to All Three Stagesp. 225
Compare Results Obtained from the Two-Stage and Three-Stage Studyp. 228
Developing a Power Amplifier Design Trade Spacep. 230
Find an Optimum Ratio of Saturated Power Output Stage to Stagep. 234
Compression Depth in Multistage Power Amplifiersp. 240
Compression Phase Shift in Multistage Power Amplifiersp. 240
Summaryp. 241
Problemsp. 242
Models Upon Modelsp. 243
The Sum of All Modelsp. 243
Suballocating System Parameters to Subsystem Requirementsp. 245
Summaryp. 293
Problemp. 293
Odds and Endsp. 295
Odds and Endsp. 295
Modeling S-Parameters as a Function of Bias Current, RF Power, and Control Functions Over Frequencyp. 296
Modeling a Single Impulse in Time with a Closed-Form Equationp. 323
Modeling a Sine Wave Burst in Timep. 326
Modeling Junction Capacitance Under Forward or Reverse Bias with a Single Equationp. 327
Summaryp. 332
Problemsp. 334
Answers to Problemsp. 335
Computing Input Third-Order Intercept of Cascaded Amplifier Stagesp. 341
Noise Figure Degradation Due to Cascading Circuit Elementsp. 345
List of Symbolsp. 349
About the Authorp. 355
Indexp. 357
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9781580530149
ISBN-10: 1580530141
Series: Microwave Library
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 392
Published: 31st October 1999
Publisher: Artech House Publishers
Country of Publication: US
Dimensions (cm): 23.4 x 15.6  x 2.2
Weight (kg): 0.72