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Spectral Analysis and Time Series

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TLDR
In this article, the authors introduce the concept of Stationary Random Processes and Spectral Analysis in the Time Domain and Frequency Domain, and present an analysis of Processes with Mixed Spectra.
Abstract
Preface. Preface to Volume 2. Contents of Volume 2. List of Main Notation. Basic Concepts. Elements of Probability Theory. Stationary Random Processes. Spectral Analysis. Estimation in the Time Domain. Estimation in the Frequency Domain. Spectral Analysis in Practice. Analysis of Processes with Mixed Spectra.

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Journal ArticleDOI

Single-Trial Multiwavelet Coherence in Application to Neurophysiological Time Series

TL;DR: A method of single-trial coherence analysis is presented, through the application of continuous multiwavelets, which allows the construction of spectra and bivariate statistics such as coherence within single trials.
Journal ArticleDOI

Disordered hyperuniform heterogeneous materials

TL;DR: In this paper, the authors derive new rigorous criteria that disordered hyperuniform two-phase heterogeneous materials must obey and explore their consequences, and show that some functional forms can immediately be eliminated from consideration and identify other forms that are allowable.

Monitoring Structural Deformation at Pacoima Dam, California Using Continuous GPS

TL;DR: In this paper, the authors used a triad of continuously operating GPS receivers to test the feasibility of applying these technologies to the field of structural monitoring of dams, including the Pacoima Dam in the San Gabriel Mountains of California.
Proceedings ArticleDOI

F4: large-scale automated forecasting using fractals

TL;DR: A fast, automated method to do non-linear forecasting, for both periodic as well as chaotic time series, using the technique of delay coordinate embedding and using the concept of `intrinsic dimensionality'.
Journal ArticleDOI

Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets

TL;DR: In this paper, the authors present the present state of the foreign currency exchange markets in Asia, Europe and North America, and the research review on the classic forecast techniques of the currency exchange rates dynamics in the classic finances theory.
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