A High Resolution Power Spectral Estimate

A High Resolution Power Spectral Estimate
Author: Henry R. Radoski
Publisher:
Total Pages: 32
Release: 1974
Genre: Geomagnetic micropulsations
ISBN:

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A new spectral estimate, the maximum entropy method, is described. In the maximum entropy method, the entropy change of a signal is maximized under the constraint that the autocorrelation function is the Fourier transform of the spectral power density. The problem reduces to specifying a unit-distance prediction error filter or, equivalently, a whitening filter. The spectral estimates are calculated in two ways: (1) by minimizing the error power to obtain the coefficients of the prediction error filter, as suggested by Burg and, (2) by a direct solution of the matrix equation using an algorithm due to Levinson. These results are compared with a modified Blackman-Tukey technique, calculated with a Hamming window. Applications of the maximum entropy method to geomagnetic micropulsations and to the annual sunspot number are shown. (Modified author abstract).

An Overview of Classical and High Resolution Spectral Estimation

An Overview of Classical and High Resolution Spectral Estimation
Author: Alan V. Oppenheim
Publisher:
Total Pages: 10
Release: 1980
Genre:
ISBN:

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Current methods of spectral estimation can be broadly categorized under three main headings. One is classical power spectral density estimation which incorporates estimation of the autocorrelation function through lagged products and periodogram analysis and its variations. The second is power spectral density estimation based on modelling. This incorporates maximum entropy analysis, data extension using linear prediction and spectral estimation using ARMA models. The third is power spectral density estimation using adaptive windows which incorporates the method commonly referred to as the maximum likelihood (MLM) method. (Author).

A New Recursive High-resolution Parametric Method for Power Spectral Density Estimation

A New Recursive High-resolution Parametric Method for Power Spectral Density Estimation
Author: Jijoong Kim
Publisher:
Total Pages: 230
Release: 1995
Genre:
ISBN:

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This thesis deals with the estimation of the spectral characteristics of signals that are characterised as stationary random processes. A new recursive high-resolution parametric method is devised for power spectral density estimation.

High-Resolution Microwave Imaging

High-Resolution Microwave Imaging
Author: Ruliang Yang
Publisher: Springer
Total Pages: 569
Release: 2017-12-13
Genre: Technology & Engineering
ISBN: 9811071381

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This book comprehensively describes high-resolution microwave imaging and super-resolution information processing technologies and discusses new theories, methods and achievements in the high-resolution microwave imaging fields. Its chapters, which include abundant research results and examples, systematically summarize the authors’ main research findings in recent years. The book is intended for researchers, engineers and postgraduates in the fields of electronics systems, signal information processing and data analysis, microwave remote sensing and microwave imaging radar, as well as space technology, especially in the microwave remote sensing and airborne or space-borne microwave imaging radar fields.

Power Spectrum Analysis of Wave Motion, Submarine Roll Angle, and Relative Cross-flow Velocities

Power Spectrum Analysis of Wave Motion, Submarine Roll Angle, and Relative Cross-flow Velocities
Author: Pat S. DeLeonibus
Publisher:
Total Pages: 74
Release: 1961
Genre: Power spectra
ISBN:

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This report discusses the general problem of recording and analyses of wave, submarine, and fluid motion data obtained from the USS Redfin while hovering at keel depths (near 100 feet) at different relative headings. In particular, the problem of recording surface wave heights with the Sonic Surface Scanner is discussed. Power spectral estimates obtained by both analog and digital methods are presented. Composite graphs of power spectra of data are presented, and mean values of the motion are given in tabulated form.

Modern Spectrum Analysis of Time Series

Modern Spectrum Analysis of Time Series
Author: Prabhakar S. Naidu
Publisher: CRC Press
Total Pages: 424
Release: 1995-10-25
Genre: Mathematics
ISBN: 9780849324642

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Spectrum analysis can be considered as a topic in statistics as well as a topic in digital signal processing (DSP). This book takes a middle course by emphasizing the time series models and their impact on spectrum analysis. The text begins with elements of probability theory and goes on to introduce the theory of stationary stochastic processes. The depth of coverage is extensive. Many topics of concern to spectral characterization of Gaussian and non-Gaussian time series, scalar and vector time series are covered. A section is devoted to the emerging areas of non-stationary and cyclostationary time series. The book is organized more as a textbook than a reference book. Each chapter includes many examples to illustrate the concepts described. Several exercises are included at the end of each chapter. The level is appropriate for graduate and research students.

Statistical Characteristics of Power Spectrum Estimates Derived from Higher Resolution FFT'.

Statistical Characteristics of Power Spectrum Estimates Derived from Higher Resolution FFT'.
Author: Clark S. Penrod
Publisher:
Total Pages: 109
Release: 1981
Genre:
ISBN:

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This report documents an investigation of the properties of a technique used to reduce the resolution of a power spectrum estimate. The technique investigated is the familiar one in which averaging across frequency is performed on a spectrum estimate to produce an estimate which has less resolution, but improved stability. Results are presented in various areas. Primarily, the statistical nature of a reduced resolution spectrum produced in this way is characterized by the derivation of expressions for equivalent degrees of freedom. In addition, the associated spectral windows are determined, and examples are shown which illustrate the effect on the spectrum estimate of various uniform and non-uniform weighting schemes in the frequency averaging. Finally, a particular weighting scheme is shown which produces results which closely approximate the lower resolution estimate obtained by conventional means with the Hanning window. (Author).

Cognitive Dynamic Systems

Cognitive Dynamic Systems
Author: Simon Haykin
Publisher: Cambridge University Press
Total Pages: 323
Release: 2012-03-22
Genre: Science
ISBN: 0521114365

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A groundbreaking book from Simon Haykin, setting out the fundamental ideas and highlighting a range of future research directions.