Detection theory

OpenStax

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Introduction to detection theory

Discrete-time detection theory

Hypothesis testing

1 Generalizations and nomenclature

3 Binary versus m-ary tests

4 Tests and decision regions

5 Simple versus composite hypotheses

6 Errors and probabilities

7 Criteria in hypothesis testing

8 Statistics versus engineering lingo

The neyman-pearson criterion

1 The neyman-pearson lemma: a first look

2 Neyman-pearson criterion

3 Sufficient statistics and monotonic transformations

4 The neyman-pearson lemma: general case

White gaussian noise

1 Validity of the white noise assumption

The likelihood ratio test

The bayes risk criterion in hypothesis testing

Sufficient statistics

Detection in the presence of unknowns

Random parameters

Non-random parameters

Spectral detection

Source: OpenStax, Signal and information processing for sonar. OpenStax CNX. Dec 04, 2007 Download for free at http://cnx.org/content/col10422/1.5

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