Principles of Signal Detection and Parameter Estimation

Principles of Signal Detection

and Parameter Estimation

Bernard C. Levy

Principles of Signal Detection

and Parameter Estimation

123

Bernard C. Levy

Dept. of Electrical and

Computer Engineering

c

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As a discipline, signal detection has evolved significantly over the last 40 years.

Some changes have been caused by technical advances, like the development

of robust detection methods, or the use of the theory of large deviations to

characterize the asymptotic performance of tests, but most changes have been

caused by transformations in the engineering systems to which detection tech-

niques are applied. While early applications of signal detection focused on

radar and sonar signal processing or the design of digital communication re-

ceivers, newer areas of application include image analysis and interpretation,

document authentification, biometrics, and sensor or actuator failure detec-

tion. This expanded scope of application has required some adjustment in

it increasingly difficult to treat the detection of communications signals and

of radar/sonar signals in a unified manner. This common framework assumes

implicitly that intersymbol interference is not present and that channel cod-

ing and modulation are implemented separately, since in this case modulated

signals can be detected one symbol at a time. But modern communication

systems are typically designed to operate over bandlimited channels where in-

tersymbol interference is present, and starting with the introduction of trellis

coded modulation, modulation and coding have become intertwined. In this

context, the detection of modulated signals can no longer be treated on a

symbol-by-symbol basis but needs to be viewed as a sequence detection prob-