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Bayesian Spectrum Analysis and Parameter Estimation

Name: Bayesian Spectrum Analysis and Parameter Estimation
Brand: Springer-Verlag New York Inc.
SKU: 01384963
Price: 102.04 EUR
Availability: InStock
Author: G. Larry Bretthorst
ISBN: 9780387968711

G. Larry Bretthorst

Language

English

Book Paperback

Libristo code: 01384963

Publishers Springer-Verlag New York Inc.

This book is primarily a research document on the application of probability theory to the parameter... Full description

Libristo code: 01384963

249 b

102.04 €

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This book is primarily a research document on the application of probability theory to the parameter estimation problem. The people who will be interested in this material are physicists, chemists, economists, and engineers who have to deal with data on a daily basis; consequently, we have included a great deal of introductory and tutorial material. Any person with the equivalent of the mathematics background required for the graduate-level study of physics should be able to follow the material contained in this book, though not without effort. In this work we apply probability theory to the problem of estimating parameters in rather general models. In particular when the model consists of a single stationary sinusoid we show that the direct application of probability theory will yield frequency estimates an order of magnitude better than a discrete Fourier transform in signal-to-noise of one. Latter, we generalize the problem and show that probability theory can separate two close frequencies long after the peaks in a discrete Fourier transform have merged.