Adaptive Array Fundamental Principles: System Uses, System Elements, Basic Concepts, and Optimum Array Processing | |
Introduction | p. 3 |
Motivation for Using Adaptive Arrays | p. 3 |
Historical Perspective | p. 5 |
Principal System Elements | p. 6 |
Adaptive Array Problem Statement | p. 8 |
Existing Technology | p. 11 |
Organization of the Book | p. 21 |
Summary and Conclusions | p. 23 |
Adaptive Array Concept | p. 29 |
Signal Environment | p. 30 |
Array Element Spacing Considerations | p. 34 |
Array Performance | p. 47 |
Nulling Limitations Due to Miscellaneous Array Effects | p. 56 |
Narrowband and Broadband Signal Processing Considerations | p. 60 |
Summary and Conclusions | p. 64 |
Optimum Array Processing: Steady-State Performance Limits and the Wiener Solution | p. 78 |
Mathematical Preliminaries | p. 80 |
Signal Descriptions for Conventional and Signal Aligned Arrays | p. 87 |
Optimum Array Processing for Narrowband Applications | p. 89 |
Optimum Array Processing for Broadband Applications | p. 105 |
Optimum Array Processing for Perturbed Propagation Conditions | p. 128 |
Summary and Conclusions | p. 131 |
Adaptive Algorithms | |
Gradient-Based Algorithms | p. 155 |
Introductory Concepts | p. 156 |
The Least Mean Square Error (LMS) Algorithm | p. 162 |
The Differential Steepest Descent (DSD) Algorithm | p. 178 |
The Accelerated Gradient Approach | p. 188 |
Gradient Algorithm with Constraints | p. 192 |
Simulation Results | p. 207 |
Summary and Conclusions | p. 211 |
The Howells-Applebaum Adaptive Processor | p. 217 |
Introductory Concepts | p. 217 |
Two-Element Array with One Adaptive Loop | p. 223 |
N-element Array with N Adaptive Loops | p. 245 |
Introduction of Main Beam Constraints | p. 273 |
Constraint for the Case of Known Desired Signal Power Level | p. 283 |
Summary and Conclusions | p. 287 |
Direct Inversion of the Sample Covariance Matrix | p. 293 |
The Direct Matrix Inversion (DMI) Approach | p. 293 |
Transient Response Comparisons | p. 307 |
Sensitivity to Eigenvalue Spread | p. 312 |
Summary and Conclusions | p. 313 |
Recursive Methods for Adaptive Array Processing | p. 319 |
The Weighted Least-Squares Error Processor | p. 319 |
Updated Covariance Matrix Inverse | p. 324 |
Kalman Filter Methods for Adaptive Array Processing | p. 326 |
The Minimum Variance Processor | p. 334 |
Simulation Results | p. 339 |
Summary and Conclusions | p. 344 |
Cascade Preprocessors | p. 348 |
Nolen Network Preprocessor | p. 349 |
Interference Cancellation with a Nolen Network Preprocessor | p. 358 |
Gram-Schmidt Orthogonalization Preprocessor | p. 364 |
Simulation Results | p. 376 |
Summary and Conclusions | p. 382 |
Random Search Algorithms | p. 390 |
Linear Random Search (LRS) | p. 391 |
Accelerated Random Search (ARS) | p. 398 |
Guided Accelerated Random Search (GARS) | p. 401 |
Simulation Results | p. 405 |
Summary and Conclusions | p. 410 |
Adaptive Algorithm Performance Summary | p. 418 |
Adaptive Array Compensation and Current Research Trends | |
Compensation of Adaptive Arrays | p. 429 |
Broadband Signal Processing Considerations | p. 429 |
Multipath Compensation | p. 451 |
Analysis of Interchannel Mismatch Effects | p. 461 |
Summary and Conclusions | p. 475 |
Current Trends in Adaptive Array Research | p. 481 |
The Maximum Entropy Method (MEM) for Spectral Estimation | p. 481 |
Sequential Implementation of Bayes Optimal Array Processor | p. 493 |
Partially Adaptive Array Concepts | p. 498 |
Summary and Conclusions | p. 506 |
Frequency Response Characteristics of Tapped-Delay Lines | p. 516 |
Complex Envelope Notation | p. 521 |
Convenient Formulas for Gradient Operations | p. 525 |
Useful Matrix Relations and the Schwartz Inequality | p. 527 |
Multivariate Gaussian Distributions | p. 530 |
Geometric Aspects of Complex Vector Relationships | p. 537 |
Index | p. 539 |
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