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Behavioral Modelling and Predistortion of Wideband Wireless Transmitters
Preface
Characterization of Wireless Transmitter Distortions
Introduction
RF Power Amplifier Nonlinearity
Inter-Modulation Distortion and Spectrum Regrowth
Impact of Distortions on Transmitter Performances
Output Power versus Input Power Characteristic
AM/AM and AM/PM Characteristics
dB Compression Point
Third and Fifth Order Intercept Points
Carrier to Inter-Modulation Distortion Ratio
Adjacent Channel Leakage Ratio
Error Vector Magnitude
References
Dynamic Nonlinear Systems
Classification of Nonlinear Systems
Memoryless Systems
Systems with Memory
Memory in Microwave Power Amplification Systems
Nonlinear Systems without Memory
Weakly Nonlinear and Quasi-Memoryless Systems
Nonlinear System with Memory
Baseband and Low-Pass Equivalent Signals
Origins and Types of Memory Effects in Power Amplification Systems
Origins of Memory Effects
Electrical Memory Effects
Thermal Memory Effects
Volterra Series Models
References
Model Performance Evaluation
Introduction
Behavioral Modeling versus Digital Predistortion
Time Domain Metrics
Normalized Mean Square Error
Memory Effects Modeling Ratio
Frequency Domain Metrics
Frequency Domain Normalized Mean Square Error
Adjacent Channel Error Power Ratio
Weighted Error Spectrum Power Ratio
Normalized Absolute Mean Spectrum Error
Static Nonlinearity Cancelation Techniques
Static Nonlinearity Pre-Compensation Technique
Static Nonlinearity Post-Compensation Technique
Memory Effect Intensity
Discussion and Conclusion
References
Quasi-Memoryless Behavioral Models
Introduction
Modeling and Simulation of Memoryless/Quasi-Memoryless Nonlinear Systems
Bandpass to Baseband Equivalent Transformation
Look-Up Table Models
Uniformly Indexed Loop-Up Tables
Non-Uniformly Indexed Look-Up Tables
Generic Nonlinear Amplifier Behavioral Model
Empirical Analytical Based Models
Polar Saleh Model
Cartesian Saleh Model
Frequency-Dependent Saleh Model
Ghorbani Model
Berman and Mahle Phase Model
Thomas-Weidner-Durrani Amplitude Model
Limiter Model
ARCTAN Model
Rapp Model
White Model
Power Series Models
Polynomial Model
Bessel Function Based Model
Chebyshev Series Based Model
Gegenbauer Polynomials Based Model
Zernike Polynomials Based Model
References
Memory Polynomial Based Models
Introduction
Generic Memory Polynomial Model Formulation
Memory Polynomial Model
Variants of the Memory Polynomial Model
Orthogonal Memory Polynomial Model
Sparse-Delay Memory Polynomial Model
Exponentially Shaped Memory Delay Profile Memory Polynomial Model
Non-Uniform Memory Polynomial Model
Unstructured Memory Polynomial Model
Envelope Memory Polynomial Model
Generalized Memory Polynomial Model
Hybrid Memory Polynomial Model
Dynamic Deviation Reduction Volterra Model
Comparison and Discussion
References
Box-Oriented Models
Introduction
Hammerstein and Wiener Models
Wiener Model
Hammerstein Model
Augmented Hammerstein and Weiner Models
Augmented Wiener Model
Augmented Hammerstein Model
Three-Box Wiener-Hammerstein Models
Wiener-Hammerstein Model
Hammerstein-Wiener Model
Feedforward Hammerstein Model
Two-Box Polynomial Models
Models’Descriptions
Identification Procedure
Three-Box Polynomial Models
Parallel Three-Blocks Model: PLUME Model
Three Layered Biased Memory Polynomial Model
Rational Function Model for Amplifiers
Polynomial Based Model with I/Q and DC Impairments
Parallel Hammerstein (PH) Based Model for the Alleviation of Various Imperfections in Direct Conversion Transmitters
Two-Box Model with I/Q and DC Impairments
References
Neural Network Based Models
Introduction
Basics of Neural Networks
Neural Networks Architecture for Modeling of Complex Static Systems
Single-Input Single-Output Feedforward Neural Network (SISO-FFNN)
Dual-Input Dual-Output Feedforward Neural Network (DIDO-FFNN)
Dual-Input Dual-Output Coupled Cartesian Based Neural Network (DIDO-CC-NN)
Neural Networks Architecture for Modeling of Complex Dynamic Systems
Complex Time-Delay Recurrent Neural Network (CTDRNN)
Complex Time-Delay Neural Network (CTDNN)
Real Valued Time-Delay Recurrent Neural Network (RVTDRNN)
Real Valued Time-Delay Neural Network (RVTDNN)
Training Algorithms
Conclusion
References
Characterization and Identification Techniques
Introduction
Test Signals for Power Amplifier and Transmitter Characterization
Characterization Using Continuous Wave Signals
Characterization Using Two-Tone Signals
Characterization Using Multi-Tone Signals
Characterization Using Modulated Signals
Characterization Using Synthetic Modulated Signals
Discussion: Impact of Test Signal on the Measured AM/AM and AM/PM Characteristics
Data De-Embedding in Modulated Signal Based Characterization
Identification Techniques
Moving Average Techniques
Model Coefficient Extraction Techniques
The LMS Algorithm
The RLS Algorithm
Robustness of System Identification Algorithms
The LS Algorithm
The LMS Algorithm
The RLS Algorithm
Conclusions
References
Baseband Digital Predistortion
The Predistortion Concept
Adaptive Digital Predistortion
Closed Loop Adaptive Digital Predistorters
Open Loop Adaptive Digital Predistorters
The Predistorter’s Power Range in Indirect Learning Architectures
Constant Peak Power Technique
Constant Average Power Technique
Synergetic CFR and DPD Technique
Small Signal Gain Normalization
Digital Predistortion Implementations
Baseband Digital Predistortion
RF Digital Predistortion
The Bandwidth and Power Scalable Digital Predistortion Technique
Summary
References
Advanced Modeling and Digital Predistortion
Joint Quadrature Impairment and Nonlinear Distortion Compensation Using Multi-Input DPD
Modeling of Quadrature Modulator Imperfections
Dual-Input Polynomial Model for Memoryless Joint Modeling of Quadrature Imbalance and PA Distortions
Dual-Input Memory Polynomial for Joint Modeling of Quadrature Imbalance and PA Distortions Including Memory Effects
Dual-Branch Parallel Hammerstein Model for Joint Modeling of Quadrature Imbalance and PA Distortions with Memory
Dual-Conjugate-Input Memory Polynomial for Joint Modeling of Quadrature Imbalance and PA Distortions Including Memory Effects
Modeling and Linearization of Nonlinear MIMO Systems
Impairments in MIMO Systems
Linear or Antenna Crosstalk
Nonlinear Crosstalk
Crossover Polynomial Model for MIMO Transmitters
Dual-Input Nonlinear Polynomial Model for MIMO Transmitters
MIMO Transmitters Nonlinear Multi-Variable Polynomial Model
Dual-Input Memoryless Model
N-Input Memoryless Model
N-Input Memory Model
Modeling and Linearization of Dual-Band Transmitters
Generalization of the Polynomial Model to the Dual-Band Case
Two-Dimensional (2-D) Memory Polynomial Model for Ducl-Bcnd Transmitters
Phase-Aligned Multi-Band Volterra DPD
Application of MIMO and Dual-Band Models in Digital Predistortion
Linearization ofMIMO Systems with Nonlinear Crosstalk
Linearization of Concurrent Dual-Band Transmitters Using a 2-D Memory Polynomial Model
Linearization of Concurrent Tri-Band Transmitters Using 3-D Phase-Aligned Volterra Model
References
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