1 Introduction
1.1 Antenna Gain
1.2 Phased Array Antenna
1.3 Power Pattern
1.4 Beam Steering
1.5 Degree of Freedom
1.6 Optimal Antenna
1.7 Adaptive Antenna
1.8 Smart Antenna
1.9 Book Outline
References
2 Narrowband Processing
2.1 Signal Model
2.1.1 Steering Vector Representation
2.1.2 Eigenvalue Decomposition
2.2 Conventional Beamformer
2.2.1 Source in Look Direction
2.2.2 Directional Interference
2.2.3 Random Noise Environment
2.2.4 Signal-to-Noise Ratio
2.3 Null Steering Beamformer
2.4 Optimal Beamformer
2.4.1 Unconstrained Beamformer
2.4.2 Constrained Beamformer
2.4.3 Output Signal-to-Noise Ratio and Array Gain
2.4.4 Special Case 1: Uncorrelated Noise Only
2.4.5 Special Case 2: One Directional Interference
2.5 Optimization Using Reference Signal
2.6 Beam Space Processing
2.6.1 Optimal Beam Space Processor
2.6.2 Generalized Side-Lobe Canceler
2.6.3 Postbeamformer Interference Canceler
2.6.3.1 Optimal PIC
2.6.3.2 PIC with Conventional Interference Beamformer
2.6.3.3 PIC with Orthogonal Interference Beamformer
2.6.3.4 PIC with Improved Interference Beamformer
2.6.3.5 Discussion and Comments
2.6.3.5.1 Signal Suppression
2.6.3.5.2 Residual Interference
2.6.3.5.3 Uncorrelated Noise Power
2.6.3.5.4 Signal-to-Noise Ratio
2.6.4 Comparison of Postbeamformer Interference Canceler with
Space Processor
2.6.5 Comparison in Presence of Look Direction Errors
2.7 Effect of Errors
2.7.1 Weight Vector Errors
2.7.1.1 Output Signal Power
2.7.1.2 Output Noise Power
2.7.1.3 Output SNR and Array Gain
2.7.2 Steering Vector Errors
2.7.2.1 Noise-Alone Matrix Inverse Processor
2.7.2.1.1 Output Signal Power
2.7.2.1.2 Total Output Noise Power
2.7.2.1.3 Output SNR and Array Gain
2.7.2.2 Signal-Plus-Noise Matrix Inverse Processor
2.7.2.2.1 Output Signal Power
2.7.2.2.2 Total Output Noise Power
2.7.2.2.3 Output SNR
2.7.2.3 Discussion and Comments
2.7.2.3.1 Special Case 1: Uncorrelated Noise Only
2.7.2.3.2 Special Case 2: One Directional Interference
2.7.3 Phase Shifter Errors
2.7.3.1 Random Phase Errors
2.7.3.2 Signal Suppression
2.7.3.3 Residual Interference Power
2.7.3.4 Array Gain
2.7.3.5 Comparison with SVE
2.7.4 Phase Quantization Errors
2.7.5 Other Errors
2.7.6 Robust Beamforming
Notation and Abbreviations
References
Adaptive Processing
3.1 Sample Matrix Inversion Algorithm
3.2 Unconstrained Least Mean Squares Algorithm
3.2.1 Gradient Estimate
3.2.2 Covariance of Gradient
3.2.3 Convergence of Weight Vector
3.2.4 Convergence Speed
3.2.5 Weight Covariance Matrix
3.2.6 Transient Behavior of Weight Covariance Matrix
3.2.7 Excess Mean Square Error
3.2.8 Misadjustment
3.3 Normalized Least Mean Squares Algorithm
3.4 Constrained Least Mean Squares Algorithm
3.4.1 Gradient Estimate
3.4.2 Covariance of Gradient
3.4.3 Convergence of Weight Vector
3.4.4 Weight Covariance Matrix
3.4.5 Transient Behavior of Weight Covariance Matrix