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

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

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