
The Estimation and Tracking of Frequency by B G Quinn
Many electronic and acoustic signals can be modelled as sums of sinusoids and noise. However, the amplitudes, phases and frequencies of the sinusoids are often unknown and must be estimated in order to characterise the periodicity or near-periodicity of a signal and consequently to identify its source. This book presents and analyses several practical techniques used for such estimation. The problem of tracking slow frequency changes over time of a very noisy sinusoid is also considered. Rigorous analyses are presented via asymptotic or large sample theory, together with physical insight. The book focuses on achieving extremely accurate estimates when the signal to noise ratio is low but the sample size is large. Each chapter begins with a detailed overview, and many applications are given. Matlab code for the estimation techniques is also included. The book will thus serve as an excellent introduction and reference for researchers analysing such signals.-
Data Analysis and Graphics Using R
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Measure Theory and Filtering
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Essentials of Statistical Inference
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Markov Chains
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Applied Asymptotics
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A User's Guide to Measure Theoretic Probability
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Probability
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High-Dimensional Probability
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Asymptotic Statistics
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Statistical Models
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Model Selection and Model Averaging
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Bootstrap Methods and their Application
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Random Graph Dynamics
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Modern Statistical Methods and Theory
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A Course in Interacting Particle Systems
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Networks
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The Coordinate-Free Approach to Linear Models
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Semiparametric Regression
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Statistical Mechanics of Disordered Systems
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Random Networks for Communication
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Statistical Analysis of Stochastic Processes in Time
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Regression for Categorical Data
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Numerical Methods of Statistics
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Symmetry Studies
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Nonparametric Estimation under Shape Constraints
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Elements of Distribution Theory
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From Finite Sample to Asymptotic Methods in Statistics
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Bayesian Methods
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Design of Comparative Experiments
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Analysis of Multivariate and High-Dimensional Data
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Mathematical Foundations of Infinite-Dimensional Statistical Models
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Probability on Trees and Networks
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Spectral Analysis for Univariate Time Series
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Predictive Statistics
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Long-Range Dependence and Self-Similarity
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Statistical Hypothesis Testing in Context: Volume 52
'The authors show complete technical mastery of their subject and of the mathematical methods required … contains a considerable amount which is new, both conceptually and in a mathematical tightening-up of earlier work and gives a full and modern account of its subject … a full, clear and authoritative account which certainly advances the current stage of the subjectThe text is to be firmly recommended to time series analysts, actual and aspiring, and to the more mathematically valiant of the engineers.' P. Whittle, Journal of Time Series Analysis
'… the book is a valuable and detailed quality reference source…' A. T. Walden, Short Book Reviews
'Quinn and Hannan's book … breaks new ground … This book fulfils a role … as a high-quality expository monograph.' Malcolm D. MacLeod, International Journal of Robust and Nonlinear Control
'… I feel that this book will help all users who are graduates taking an advanced statistics or mathematics course in conjunction with communications systems.' Journal of the Royal Statistical Society
'… the book is a valuable and detailed quality reference source…' A. T. Walden, Short Book Reviews
'Quinn and Hannan's book … breaks new ground … This book fulfils a role … as a high-quality expository monograph.' Malcolm D. MacLeod, International Journal of Robust and Nonlinear Control
'… I feel that this book will help all users who are graduates taking an advanced statistics or mathematics course in conjunction with communications systems.' Journal of the Royal Statistical Society
Hannan, E. J.: - E. J. Hannan (1921-1994) was Professor of Statistics at the Australian National University in Canberra. He was a pioneer of modern time series analysis and winner of both the Pitman Medal and the Thomas Ranken Lyle Medal. The Australian Academy of Sciences commemorates his work by awarding the Hannan Medal every two years to recognise achievements of Australians in pure mathematics, applied and computational mathematics and statistical science.
| SKU | Unavailable |
| ISBN 13 | 9781107412859 |
| ISBN 10 | 1107412854 |
| Title | The Estimation and Tracking of Frequency |
| Author | B G Quinn |
| Series | Cambridge Series In Statistical And Probabilistic Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2013-01-17 |
| Number of pages | 280 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |



































