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Handbook of Differential Entropy

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kr 212

Handbook of Differential Entropy

One of the main issues in communications theory is measuring the ultimate data compression possible using the concept of entropy. While differential entropy may seem to be a simple extension of the discrete case, it is a more complex measure that often requires a more careful treatment.

Handbook of Differential Entropy provides a comprehensive introduction to the subject for researchers and students in information theory. Unlike related books, this one brings together background material, derivations, and applications of differential entropy.

The handbook first reviews probability theory as it enables an understanding of the core building block of entropy. The authors then carefully explain the concept of entropy, introducing both discrete and differential entropy. They present detailed derivations of differential entropy for numerous probability models and discuss challenges with interpreting and deriving differential entropy. They also show how differential entropy varies as a function of the model variance.

Focusing on the application of differential entropy in several areas, the book describes common estimators of parametric and nonparametric differential entropy as well as properties of the estimators. It then uses the estimated differential entropy to estimate radar pulse delays when the corrupting noise source is non-Gaussian and to develop measures of coupling between dynamical system components.

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One of the main issues in communications theory is measuring the ultimate data compression possible using the concept of entropy. While differential entropy may seem to be a simple extension of the discrete case, it is a more complex measure that often requires a more careful treatment.

Handbook of Differential Entropy provides a comprehensive introduction to the subject for researchers and students in information theory. Unlike related books, this one brings together background material, derivations, and applications of differential entropy.

The handbook first reviews probability theory as it enables an understanding of the core building block of entropy. The authors then carefully explain the concept of entropy, introducing both discrete and differential entropy. They present detailed derivations of differential entropy for numerous probability models and discuss challenges with interpreting and deriving differential entropy. They also show how differential entropy varies as a function of the model variance.

Focusing on the application of differential entropy in several areas, the book describes common estimators of parametric and nonparametric differential entropy as well as properties of the estimators. It then uses the estimated differential entropy to estimate radar pulse delays when the corrupting noise source is non-Gaussian and to develop measures of coupling between dynamical system components.

Produktdetaljer
Sprog: Engelsk
Sider: 244
ISBN-13: 9781466583160
Indbinding: Hardback
Udgave:
ISBN-10: 1466583169
Udg. Dato: 14 nov 2013
Længde: 18mm
Bredde: 238mm
Højde: 155mm
Forlag: Taylor & Francis Inc
Oplagsdato: 14 nov 2013
Forfatter(e) Frank Bucholtz, Jonathan M. Nichols, Joseph Victor Michalowicz


Kategori Sandsynlighedsregning og statistik


Sprog Engelsk


Indbinding Hardback


Sider 244


Udgave


Længde 18mm


Bredde 238mm


Højde 155mm


Udg. Dato 14 nov 2013


Oplagsdato 14 nov 2013

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