ABSTRACT
Invariant Random Processes................................................................ 626
12.3.1. Introduction............................................................................ 626
12.3.2. Problem Statement................................................................. 628
12.3.3.1. SIRVs with Known Characteristic PDF............... 630
12.3.3.2. SIRVs with Unknown Characteristic PDFs ......... 631
12.3.3.3. Hankel Transform Approach................................ 632
12.3.4. Examples of Complex SIRVs................................................ 634
12.3.4.1. Examples Based on the Characteristic PDF ........ 634
12.3.4.2. Examples Based on Marginal
Envelope PDF....................................................... 641
12.3.4.3. Examples Using the Marginal
Characteristic Function......................................... 651
12.3.5. Significance of the Quadratic Form of the SIRV PDF......... 656
12.3.6. Conclusion ............................................................................. 664
12.4. Computer Generation of Simulated Radar Clutter
Characterized as SIRPs........................................................................ 665
12.4.1. Introduction............................................................................ 665
12.4.2. Preliminaries .......................................................................... 666
12.4.3. Two Canonical Simulation Procedures
for Generating SIRVs ............................................................ 670
12.4.4. Performance Assessment of the Simulation Schemes .......... 675
12.4.5. Conclusions............................................................................ 677
12.5. Distribution Approximation to Radar Clutter
Characterized by SIRPs ....................................................................... 680
12.5.1. Introduction............................................................................ 680
12.5.2. Definitions .............................................................................. 682
12.5.3. Goodness of Fit Test.............................................................. 682
12.5.4. Distribution Approximation................................................... 689
12.5.5. Parameter Estimation............................................................. 694
12.5.5.1. Estimation of Location and Scale Parameters ..... 695
12.5.5.2. Shape Parameter Estimation................................. 696
12.5.6. Assessing the Distributional Properties of SIRVs ................ 697
12.5.7. Distribution Identification of SIRVs ..................................... 700
12.5.8. Alternative Method for Parameter Estimation ...................... 704
12.5.9. Conclusions............................................................................ 705
12.6. Conclusions.......................................................................................... 705
12.6.1. General Remarks.................................................................... 705
12.6.2. Suggestions for Future Research ........................................... 706
The problem of weak signal detection in nonGaussian noise is of interest to
engineers in many disciplines such as, radar, sonar, digital communications, and
radio astronomy. In this research, we are interested in the detection of weak radar
targets in a strong clutter background. When a signal is transmitted by a radar, the
on the environment. Any return other than that from the target is an unwanted
signal and is defined as radar clutter.
