Detection Based on a Single Observation

Detection Based on a Single Observation

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In this chapter, we consider the detection of signals in noise based on a single observation. It was shown that the structure of the optimum detector for the exactly known signal in white Gaussian noise is a matched filter followed by a sampling and decision circuit.

Chapter Contents:

  • 9.1 Introduction
  • 9.2 Optimum Detection of an Exactly Known Signal
  • 9.3 Optimum Detection of a Signal of Unknown Phase
  • 9.4 Optimum Detection of a Rayleigh Fluctuating Signal
  • 9.5 Optimum Detection of a One-Dominant-Plus-Rayleigh Fluctuating Signal; Structure and Performance
  • 9.6 Analytic Approximations
  • 9.7 Likelihood Ratio for Colored Noise
  • 9.8 Optimum Detection of an Exactly Known Signal in Colored Noise
  • 9.9 Optimum Detection of a Signal of Unknown Phase in Colored Noise
  • 9.10 Optimum Detection of a Signal of Unknown Phase and Amplitude in Colored Noise
  • 9.11 Summary
  • Problems
  • References

Inspec keywords: radar detection; white noise; decision circuits; matched filters; Gaussian noise

Other keywords: sampling and decision circuit; matched filter; optimum detector; white Gaussian noise; single-observation signal detection; radar detection

Subjects: Other topics in statistics; Radar theory; Signal detection

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