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## Sequential Detection

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In this chapter the number of observations required for a decision is a function of the test results obtained after each observation. Thus, the test length is a random variable; this is the principal distinguishing characteristic of sequential detection.

Chapter Contents:

• 16.1 Introduction
• 16.2 Notion of a Sequential Test
• 16.3 The Operating Characteristic Function (OCF)
• 16.4 The Average Sample Number (ASN)
• 16.5 Coherent Detection in White Gaussian Noise
• 16.6 Coherent Detection in Colored Gaussian Noise
• 16.7 Wald's Fundamental Identity
• 16.8 The Characteristic Function of n
• 16.9 The Distribution of n for the Coherent Detector
• 16.10 Some Remarks on the PDF of n
• 16.11 ASN for Incoherent Detection of Signals of Unknown Phase
• 16.12 The Need for Truncation
• 16.13 Application of Sequential Detection to a Multiple-Resolution-Bin Radar
• 16.14 Analogue Marcus and Swerling Test
• 16.15 Binomial Marcus and Swerling Test
• 16.16 Average Loss Formulation
• 16.17 Two-Step Sequential Detection
• Problems
• References

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Sequential Detection, Page 1 of 2

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