Suitability of Correlation Arrays and Superresolution for Minehunting ...

Contents
1. INTRODUCTION ............................................................................................................... 1
2. INTRODUCTION TO CORRELATION ARRAYS ...................................................... 2
2.1 General........................................................................................................................ 2
2.2 Possible Ways of Using the Cross-Shaped Array ............................................... 3
3. CORRELATION TELESCOPES IN RADIO ASTRONOMY...................................... 4
3.1 General........................................................................................................................ 4
3.2 Updated Cross Antenna; Telescope Transfer Function..................................... 4
3.3 Traditional Cross Antenna...................................................................................... 7
3.4 Compound Grating Antenna.................................................................................. 8
4. ATTEMPTED APPLICATION OF THE CORRELATION ARRAY CONCEPT TO
SONAR ........................................................................................................................ 8
4.1 Assumptions in Radio Astronomy ........................................................................ 8
4.2 Near Field ................................................................................................................... 9
4.3 Correlation of Targets ............................................................................................ 10
4.3.1 Conclusions for Sonar; Decorrelation..................................................... 13
4.4 Time for Averaging ................................................................................................ 14
4.4.1 Effect of Decorrelation .............................................................................. 14
5. INTRODUCTION TO SUPERRESOLUTION ............................................................ 14
5.1 Initial Introduction; Definitions.......................................................................... 14
5.2 Literature .................................................................................................................. 16
5.3 Arrangement of Sections ....................................................................................... 16
6. SUPERRESOLUTION METHODS WITH FIXED WEIGHTS: ADDITIVE AND
MULTIPLICATIVE ARRAYS......................................................................................... 17
6.1 Additive Arrays....................................................................................................... 17
6.2 Interlude ................................................................................................................... 19
6.3 Multiplicative Arrays............................................................................................. 19
6.4 Correlation Arrays .................................................................................................. 21
7. SUPERRESOLUTION METHODS WITH ADAPTIVE WEIGHTS: A. GENERAL21
8. SUPERRESOLUTION METHODS WITH ADAPTIVE WEIGHTS: B.
ESTIMATION OF CONTINUOUS ANGULAR SPECTRUM................................. 22
8.1 Capon’s Method and Related Matters ................................................................ 22
8.1.1 Capon’s Method ........................................................................................ 22
8.1.2 Broadband Signals; Superresolution in Range; Suppression of
Sidelobes .................................................................................................................. 24
8.1.3 Thoughts on Application of Capon’s Method to the Minefinder
System 25
8.2 Maximum Entropy Method (MEM) .................................................................... 25
8.3 Model-Based versus Non-Model-Based Methods............................................ 25
9. SUPERRESOLUTION METHODS WITH ADAPTIVE WEIGHTS: C.
ESTIMATION OF DISCRETE ANGULAR SPECTRUM ......................................... 26