Automated spectral analysis II: Application of wavelet shrinkage for characterization of non-parameterized signals

In 2004, a counterexample was given for a 1965 result of R. J. Elliott claiming that discrete spectral synthesis holds on every Abelian group. Since then the investigation of discrete spectral analysis and synthesis has gained traction. Characterizations of the Abelian groups that possess spectral analysis and spectral synthesis, respectively, were published in 2005. A characterization of the varieties on discrete Abelian groups enjoying spectral synthesis is still missing. We present a ring theoretical approach to the issue. In particular, we provide a generalization of the Principal Ideal Theorem on discrete Abelian groups.

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Improved Characterization of Non-Stationary Flows Using a Regularized Spectral Analysis of Ultrasound Doppler Signals

Journal de Physique III ◽

10.1051/jp3:1997242 ◽

1997 ◽

Vol 7 (10) ◽

pp. 2079-2102 ◽

Cited By ~ 5

Author(s):

A. Herment ◽

J.-F. Giovannelli ◽

G. Demoment ◽

B. Diebold ◽

A. Delouche

Keyword(s):

Spectral Analysis ◽

Ultrasound Doppler ◽

Stationary Flows ◽

Doppler Signals

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Fully automated spectral analysis of periodic signals

IEEE Transactions on Instrumentation and Measurement ◽

10.1109/tim.2003.814817 ◽

2003 ◽

Vol 52 (4) ◽

pp. 1021-1024 ◽

Cited By ~ 47

Author(s):

J. Schoukens ◽

Y. Rolain ◽

G. Simon ◽

R. Pintelon

Keyword(s):

Spectral Analysis ◽

Periodic Signals ◽

Automated Spectral Analysis

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Developing Automated Spectral Analysis Tools for Interstellar Features Extractionto Support Construction of the 3D ISM Map

Proceedings of the International Astronomical Union ◽

10.1017/s1743921317005981 ◽

2017 ◽

Vol 12 (S330) ◽

pp. 243-244

Author(s):

L. Puspitarini ◽

R. Lallement ◽

A. Monreal-Ibero ◽

H.-C. Chen ◽

H. L. Malasan ◽

...

Keyword(s):

Spectral Analysis ◽

Spatial Distribution ◽

Spatial Resolution ◽

Environmental Conditions ◽

Equivalent Width ◽

Global Analysis ◽

Line Of Sight ◽

Absorption Data ◽

Diffuse Interstellar Bands ◽

Automated Spectral Analysis

AbstractOne of the ways to obtain a detailed 3D ISM map is by gathering interstellar (IS) absorption data toward widely distributed background target stars at known distances (line-of-sight/LOS data). The radial and angular evolution of the LOS measurements allow the inference of the ISM spatial distribution. For a better spatial resolution, one needs a large number of the LOS data. It requires building fast tools to measure IS absorption. One of the tools is a global analysis that fit two different diffuse interstellar bands (DIBs) simultaneously. We derived the equivalent width (EW) ratio of the two DIBs recorded in each spectrum of target stars. The ratio variability can be used to study IS environmental conditions or to detect DIB family.

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