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## Sensitivity and Detection Problems

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This chapter discusses different types of detection schemes. The difference between the detection schemes of analog and digital receivers will be emphasized. The possible advantages of a digital receiver from a detection point of view will be discussed. The detection based on one data sample will be discussed first. The one sample case will be extended to multiple samples. Finally, frequency domain detection, which can be applied to digital receivers, will be examined. Examples with computer programs are used to illustrate some of the detection schemes.

Chapter Contents:

• 9.1 Introduction
• 9.2 Electronic Warfare Receiver Detection Approach
• 9.3.1 Frequency Domain Detection
• 9.3.2 Time Domain Detection
• 9.4 False Alarm Time and Probability of False Alarm for One Data Sample
• 9.5 Threshold Setting for One Data Sample
• 9.6 Probability of Detection for Single-Sample Detection
• 9.7 Detection Based on Multiple Data Samples
• 9.8 Detection Scheme for Multiple Samples (L-Out-of-N)
• 9.9 Probability Density Function and Characteristic Function
• 9.10 Probability Density Function of Sum Samples With a Square Law Detector
• 9.11 Detection of Multiple Samples Based on Summation
• 9.12 An Example of Single-Sample Detection
• 9.13 An Example of Multiple-Sample (L-Out-of-N) Detection
• 9.14 Selection of Threshold Level
• 9.15 Optimizing the Selection of Threshold
• 9.16 An Example of N Sample Detection (Summation Method)
• 9.17 Introduction to Frequency Domain Detection
• 9.18 A Suggested Approach to Frequency Domain Detection
• 9.19 Probability of False Alarm in Frequency Domain
• 9.20 Input Signal Conditions in Frequency Domain Detection
• 9.21 Probability of Detection in Frequency Domain
• 9.22 Examples on Frequency Domain Detection
• 9.23 Comments on Frequency Domain Detection
• References
• Appendix 9.A
• Appendix 9.B
• Appendix 9.C
• Appendix 9.D
• Appendix 9.E
• Appendix 9.F
• Appendix 9.G
• Appendix 9.H
• Appendix 9.I
• Appendix 9.J
• Appendix 9.K
• Appendix 9.L
• Appendix 9.M

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