Titlebook: Excursions in Harmonic Analysis, Volume 4; The February Fourier Radu Balan,Matthew Begué,Kasso A. Okoudjou Book 2015 Springer International

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Spectral Correlation Hub Screening of Multivariate Time Series the hub time series, i.e., those that are highly correlated with a specified number of other time series. We show that Fourier components of the time series at different frequencies are asymptotically statistically independent. This property permits independent correlation analysis at each frequenc

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The Synchrosqueezing transform for instantaneous spectral analysisa form of time-frequency reassignment that is both sparse and invertible, allowing for the recovery of the signal. This article presents an overview of the theory and stability properties of Synchrosqueezing, as well as applications of the technique to topics in cardiology, climate science, and econ

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International and Cultural Psychology randomly masked and blurred Fourier intensity measurements, PR-GAMP achieved 99% success rate with a median runtime of only 12. 6 seconds. Compared to the recently proposed CPRL, sparse-Fienup, and GESPAR algorithms, experiments show that PR-GAMP has a superior phase transition and orders-of-magnit

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Basic Properties of Error-Correcting Codes the signal has a relatively low-frequency segment, we can tile broadly in time and efficiently in frequency. Computability is key; systems are designed so that they can be constructed using splines and implemented in circuitry.

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Attitude Change and Cognitive Therapy, removed by using mathematical tools unavailable at the time. We survey more recent advances in sampling of operators and discuss the implications of the use of periodically weighted delta-trains as identifiers for operator classes that satisfy Bello’s criterion for identifiability, leading to new i