# Radar Target Detection

## 1st Edition

### Handbook of Theory and Practice

**Authors:**Daniel Meyers

**eBook ISBN:**9780323147538

**Imprint:**Academic Press

**Published Date:**28th November 1973

**Page Count:**512

## Description

Radar Target Detection: Handbook of Theory and Practice covers a set of graphical solutions to the detection problem, designated as Meyer Plots, for radar systems design. A radar system's major purpose is the detection and location of an object by means of a return signal, which could be either a reflection or a beacon.

This book is composed of four chapters. Chapter 1 presents the basic radar range equation, which is the basic relationship which permits the calculation of echo signal strength from measurable or known parameters of the radar transmitter, antenna, propagation path, and target. Chapter 2 provides examples for determining statistical signal detection using Meyer Plots, particularly for determining detection probability and integration loss and efficiency. Chapter 3 describes the application of target models to determination of detection probability. Chapter 4 examines how Meyer Plots can be used to solve problems involving most any target model.

## Table of Contents

Foreword

Preface

Acknowledgments

List of Symbols

Chapter 1 Review of the Radar Range Equation

1-1 Introduction

1-2 The Basic Radar Range Equation

1-3 Noise Bandwidth

1-4 Noise Factor, Noise Figure, and Effective Noise Temperature

1-5 The Radar Range Equation for I.F. Signal-to-Noise Ratio

1-6 The Matched (or North) Filter Receiver

1-7 Marcum's Use of the Radar Range Equation

1-8 Other Useful Forms of the Radar Range Equation

1-9 The Energy Radar Range Equation

1-10 The Radar Range Equation for a Bistatic System

1-11 The Radar Range Equation for a Search Radar

1-12 Summary of Search and Tracking Radar System Losses

1-13 Illustrative Example Using the Search Radar Equation

References

Chapter 2 Statistical Signal Detection

2-1 Detection

2-2 False Alarm Time, Probability of False Alarm, and False Alarm Number

2-3 Probability of False Alarm versus Bias Level Setting

2-4 Determination of Bias Level Setting

2-5 The Advantages and Disadvantages of Pulse Integration

2-6 General Theory of Probability of Detection as a Function of Probability of False Alarm and Number of Pulses Integrated

2-7 Illustrative Examples for Determining Probability of Detection Using Meyer Plots

2-8 Integration Loss

2-9 Illustrative Examples for Determining Integration Loss and Integration Efficiency Using Meyer Plots

2-10 Collapsing Loss

2-11 Illustrative Example for Determining Collapsing Loss Using Meyer Plots

References

Chapter 3 Target Models and the Determination of Detection Probability

3-1 Introduction and Historical Background

3-2 Scattering Cross Section and the Target Modeling Problem

3-3 Single-Hit Probability of Detection

3-4 Definition of a Square-Law Detector

3-5 The Nonfluctuating Target Model for N Pulse Returns

3-6 Fluctuating Targets: Swerling's Cases 1 and 2—The Rayleigh Distribution

3-7 Fluctuating Targets: Swerling's Cases 3 and 4—The Chi-Square Distribution with Four Degrees of Freedom

3-8 The Relationship between the Five Standard Target Models and Modern Target Models

3-9 The Linear-Type Envelope Detector

3-10 Best Possible Detector Law

3-11 Other Approaches to the Detection Criteria

3-12 Application of Pulse Radar Results to CW Radar System

3-13 Beam-Shape and Scanning Loss

3-14 A Method of Using Meyer Plots for Optimizing the Number of Pulses Integrated When Accounting for Beam-Shape Loss

3-15 Some Other Contributing Losses

References

Chapter 4 Meyer Plots—Description and Use

4-1 Basics of Meyer Plots and Target Models

4-2 Illustrative Look-Up Problems Using Meyer Plots and Methods of Interpolation

4-3 Chi-Square Target Models of Arbitrary Degrees of Freedom

4-4 Approximation for Rice Power (One-Dominant-Plus-Rayleigh) Target Model

4-5 Approximation for Log-Normal Target Model

4-6 Approximation of Other Target Density Functions

4-7 Double Threshold and Median Detection

4-8 Recirculating Integrators

4-9 Meyer Plots

References

Meyer Plots

Appendix Meyer Plots: Techniques Used in their Development

A-1 Introduction

A-2 The Incomplete Gamma Function

A-3 The Case-0 Nonfluctuating Target Model

A-4 The Case-1 Target Model—Rayleigh-Distributed Signal with Scan-to-Scan Fluctuation

A-5 The Case-2 Target Model—Rayleigh-Distributed Signal with Pulse-to-Pulse Fluctuation

A-6 The Case-3 Fluctuating Target Model—Four Degrees of Freedom Chi-Square-Distributed Signal with Scan-to-Scan Fluctuation

A-7 The Case-4 Fluctuating Target Model—Four Degrees of Freedom Chi-Square-Distributed Signal with Pulse-to-Pulse Fluctuation

A-8 Computation of Bias Level Values

References

Index

## Details

- No. of pages:
- 512

- Language:
- English

- Copyright:
- © Academic Press 1973

- Published:
- 28th November 1973

- Imprint:
- Academic Press

- eBook ISBN:
- 9780323147538