Many electronic and acoustic signals can be modeled 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 characterize the periodicity or near-periodicity of a signal and consequently to identify its source. Quinn and Hannan present and analyze several practical techniques used for such estimation. The problem of tracking slow frequency changes of a very noisy sinusoid over time 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.
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Many signals can be modelled as sums of sinusoids and noise. However, the frequencies of the sinusoids are often unknown and must be estimated to identify the source. This book presents and analyses several practical techniques used for such estimation and for tracking slow frequency changes over time. Rigorous results and physical insight are both given, focusing on noisy signals with large sample sizes. Many applications are described and Matlab code is also included. The book will thus serve as an excellent introduction and reference for researchers analysing such signals.
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.
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Condition: New. This book presents practical techniques for estimating frequencies of signals. Includes Matlab code. For researchers. Series: Cambridge Series in Statistical and Probabilistic Mathematics. Num Pages: 280 pages, indexes, references. BIC Classification: PBT; PBW. Category: (P) Professional & Vocational. Dimension: 247 x 174 x 17. Weight in Grams: 649. . 2001. Illustrated. hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780521804462
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Hardcover. Condition: new. Hardcover. 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. Presents and analyses practical techniques for estimating the frequencies and amplitudes of the sinusoids making up signals. Rigorous results and physical insight are both given, focusing on noisy signals and large sample sizes. Many applications are described and Matlab code is also included. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521804462
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