Table of Contents
1.2 Cognitive Radio: System Concepts
1.3 Spectrum Sensing Interface and Data Structures
1.6 Large Sample Covariance Matrices of Spiked Population Models
1.7 Random Matrices and Noncommutative Random Variables
1.8 Principal Component Analysis
1.9 Generalized Likelihood Ratio Test (GLRT)
1.10 Bregman Divergence for Matrix Nearness
Chapter 2: Spectrum Sensing: Basic Techniques
2.2 Energy Detection: No Prior Information about Deterministic or Stochastic Signal
2.3 Spectrum Sensing Exploiting Second-Order Statistics
Chapter 3: Classical Detection
3.1 Formalism of Quantum Information
3.2 Hypothesis Detection for Collaborative Sensing
3.4 Random Matrices with Independent Rows
3.5 The Multivariate Normal Distribution
3.6 Sample Covariance Matrix Estimation and Matrix Compressed Sensing
Chapter 4: Hypothesis Detection of Noncommutative Random Matrices
4.1 Why Noncommutative Random Matrices?
4.2 Partial Orders of Covariance Matrices: A < B
4.3 Partial Ordering of Completely Positive Mappings: Φ(A) < Φ(B)
4.4 Partial Ordering of Matrices Using Majorization: 
4.5 Partial Ordering of Unitarily Invariant Norms: |||A||| < |||B|||
4.6 Partial Ordering of Positive Definite Matrices of Many Copies: 
4.7 Partial Ordering of Positive Operator Valued Random Variables: Prob(A ≤ X ≤ B)
4.8 Partial Ordering Using Stochastic Order: A ≤ stB
4.9 Quantum Hypothesis Detection
4.10 Quantum Hypothesis Testing for Many Copies
Chapter 5: Large Random Matrices
5.1 Large Dimensional Random Matrices: Moment Approach, Stieltjes Transform and Free Probability
5.2 Spectrum Sensing Using Large Random Matrices
5.5 Case Studies and Applications
5.6 Regularized Estimation of Large Covariance Matrices
Chapter 6: Convex Optimization
6.8 Multiobjective Optimization
6.9 Optimization for Radio Resource Management
6.10 Examples and Applications
Chapter 8: Agile Transmission Techniques (I): Multiple Input Multiple Output
8.5 MIMO Cognitive Radio Network
Chapter 9: Agile Transmission Techniques (II): Orthogonal Frequency Division Multiplexing
9.7 Orthogonal Frequency Division Multiple Access
9.9 OFDM Cognitive Radio Network
10.2 Primary User Emulation Attack Games
10.3 Games in Channel Synchronization
10.4 Games in Collaborative Spectrum Sensing
Chapter 11: Cognitive Radio Network
11.1 Basic Concepts of Networks
11.2 Channel Allocation in MAC Layer
11.5 Congestion Control in Transport Layer
11.6 Complex Networks in Cognitive Radio
Chapter 12: Cognitive Radio Network as Sensors
12.1 Intrusion Detection by Machine Learning
12.2 Joint Spectrum Sensing and Localization
12.3 Distributed Aspect Synthetic Aperture Radar
12.7 The Cyber-Physical System
A.1 Vector Spaces and Hilbert Space