ABSTRACT

Adaptive Radar.................................................................................... 461

(E. C. Barile, R. L. Fante, and J. A. Torres)

10.2.1. Background ........................................................................... 461

10.2.2. Theoretical Introduction ....................................................... 465

10.2.3. Two-Element Displaced Phase Center Antenna .................. 472

10.2.4. Simulation Results ................................................................ 478

10.2.4.1. Internal Clutter Motion ....................................... 478

10.2.4.2. Aircraft Crabbing ................................................ 482

10.2.4.3. Near-Field Obstacles ........................................... 484

10.2.4.4. Antenna Errors (Channel Mismatch) .................. 487

10.2.5. Summary ............................................................................... 490

10.3. Clutter Covariance Smoothing by Subaperture Averaging................ 490

(R. L. Fante, E. C. Barile, and T. P. Guella)

10.3.1. Introduction........................................................................... 490

10.3.2. Analysis for an Airborne Radar ........................................... 492

10.3.3. Summary ............................................................................... 496

10.4. Cancellation of Diffuse Jammer Multipath by an Airborne

Adaptive Radar.................................................................................... 497

(R. L. Fante and J. A. Torres)

10.4.1. Introduction........................................................................... 497

10.4.2. Filtered Received Signals ..................................................... 502

10.4.2.1. Received Jammer and Noise Signals .................. 502

10.4.2.2. Interference Covariance Matrix .......................... 505

10.4.2.3. Steering-Vector and Received Target Signal ..... 508

10.4.3.1. Introduction ......................................................... 509

10.4.3.2. Tap Spacing......................................................... 512

10.4.3.3. Total Extent ......................................................... 513

10.4.3.4. Ground Clutter..................................................... 513

10.4.3.5. Temporal Averaging............................................ 514

10.4.3.6. Beam Space ......................................................... 514

10.4.4. Summary and Discussion ..................................................... 517

10.5. Wideband Cancellation of Multiple Mainbeam Jammers.................. 518

(R. L. Fante, R. M. Davis, and T. P. Guella)

10.5.1. Introduction........................................................................... 518

10.5.2. Calculation of the Array Performance ................................. 520

10.5.3. Simulation Results ................................................................ 523

10.5.3.1. Spatial Span and Location of the Auxiliaries..... 523

10.5.3.2. Required Number of Auxiliaries and Gain

per Auxiliaries ..................................................... 524

10.5.3.3. Signal-to-Interference Ratio after

Cancellation ......................................................... 527

10.5.3.4. Simultaneous Nulling of Mainlobe and

Sidelobe Jammers................................................ 529

10.5.4. Summary and Discussion ..................................................... 530

10.6. Adaptive Space-Time Radar.............................................................. 531

(R. L. Fante)

10.6.1. Introduction........................................................................... 531

10.6.2. Understanding the Results in Equation 10.169 and

Equation 10.170 .................................................................... 533

10.6.3. Sequential Cancellation of Jammers and Clutter ................. 536

10.6.4. Typical Results ..................................................................... 538

10.6.5. Additional Considerations .................................................... 539

10.6.6. Summary ............................................................................... 540

10.7. Synthesis of Adaptive Monopulse Patterns ........................................ 540

(R. L. Fante)

10.7.1. Analysis................................................................................. 540

10.7.2. Summary ............................................................................... 542

10.8. Ground and Airborne Target Detection with Bistatic

Adaptive Space-Based Radar.............................................................. 543

(R. L. Fante)

10.8.1. Introduction........................................................................... 543

10.8.2. Analysis................................................................................. 544

10.8.2.1. Sum Beam ........................................................... 544

10.8.2.2. Difference Beam.................................................. 545

10.8.3. Numerical Studies of Effectiveness...................................... 546

10.8.3.1. Sum Beam ........................................................... 548

10.8.3.2. Difference beam .................................................. 551

Discretes .............................................................................................. 553

(R. L. Fante)

10.9.1. Introduction........................................................................... 553

10.9.2. Fully Adaptive SAR ............................................................. 554

10.9.3. Overlapped-Subarray SAR ................................................... 557

10.9.4. Numerical Results................................................................. 559

10.9.5. Summary ............................................................................... 563

10.10. Wideband Cancellation of Interference in a Global Positioning

System (GPS) Receive Array ............................................................. 563

(R. L. Fante and J. J. Vaccaro)

10.10.1. Introduction........................................................................... 563

10.10.2. Adaptive Filter Weights........................................................ 564

10.10.2.1. Maximum Signal-to-Interference

Ratio..................................................................... 565

10.10.2.2. Minimum Mean Square Error ............................. 566

10.10.2.3. Minimum Output Power ..................................... 567

10.10.3. Signal Distortion Introduced by the Processor .................... 567

10.10.4. Suboptimum Space-Frequency Processing ......................... 570

10.10.5. Numerical Simulations ......................................................... 571

10.10.5.1. Introduction ......................................................... 571

10.10.5.2. Effect of Channel Mismatch ............................... 574

10.10.5.3. Effect of Steering-Vector Mismatch ................... 576

10.10.5.4. Distortion Introduced by the

Adaptive Filter..................................................... 577

10.10.6. Space-Time vs. Suboptimum Space-Frequency

Processing ............................................................................. 580

10.10.7. Summary ............................................................................... 585

10.11. A Maximum-Likelihood Beamspace Processor for Improved

Search and Track................................................................................. 585

(R. M. Davis and R. L. Fante)

10.11.1. Introduction........................................................................... 585

10.11.2. Maximum-Likelihood Beamspace Processor (MLBP) ........ 586

10.11.3. Analysis................................................................................. 589

10.11.3.1. The First Stage .................................................... 589

10.11.3.2. The Second Stage................................................ 590

10.11.3.3. Target Detection.................................................. 592

10.11.4. Numerical Examples............................................................. 593

10.11.4.1. Improved Clear Environment Search

Performance......................................................... 594

10.11.4.2. Improved Clear Environment

Angle Estimation................................................. 595

10.11.4.3. Performance against a Single Mainlobe

Interferer .............................................................. 596

Most analyses

of adaptive cancellation of strong jammers consider only the

direct signal from the jammer, and ignore any multipath components

scattered

from the Earth. For a smooth Earth the multipath consists of only a single time-

delayed, specularly reflected ray, but for a rough Earth the multipath consists

of

many time-delayed, diffusely reflected components. The question then arises as to

how one can cancel both the direct jammer signal and these multiple reflections.

There are a number of choices: one can add more spatial degrees of freedom to the

adaptive array, more temporal degrees of freedom, or a combination of both.

Additional spatial degrees of freedom can be achieved by using additional

auxiliary antenna elements. The additional temporal degrees of freedom can be

achieved by using bandwidth partitioning (with a separate adaptive loop in each

subband), an adaptive finite impulse response (FIR) filter,