KFU. Card publication. NAFASS: Discrete spectroscopy of random signals

KAZAN
FEDERAL UNIVERSITY

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NAFASS: DISCRETE SPECTROSCOPY OF RANDOM SIGNALS

Form of presentation

Articles in international journals and collections

Year of publication

2011

Язык

английский

Authors, employees of KFU

Nigmatullin Ravil Rashidovich, author

Osokin Sergey Igorevich, author

Other authors

Toboev Vyacheslav , author

Bibliographic description in the original language

Nigmatullin R.R, Osokin S.I, Toboev V.A., NAFASS: Discrete spectroscopy of random signals//Chaos, Solitons and Fractals. - 2011. - Vol.44, Is.4-5. - P.226-240.

Annotation

In this paper we suggest a new discrete spectroscopy for analysis of random signals and fluctuations. This discrete spectroscopy is based on successful solution of the modified Prony's problem for the strongly-correlated random sequences. As opposed to the general Prony's problem where the set of frequencies is supposed to be unknown in the new approach suggested the distribution of the unknown frequencies can be found for the strongly-correlated random sequences. Preliminary information about the frequency distribution facilitates the calculations and attaches an additional stability in the presence of a noise. This spectroscopy uses only the informative-significant frequency band that helps to fit the given signal with high accuracy. It means that any random signal measured in t-domain can be “read” in terms of its amplitude-frequency response (AFR) without model assumptions related to the behavior of this signal in the frequency region. The method overcomes some essential drawbacks of the conventional Prony's method and can be determined as the non-orthogonal amplitude frequency analysis of the smoothed sequences (NAFASS). In this paper we outline the basic principles of the NAFASS procedure and show its high potential possibilities based on analysis of some actual NIR data. The AFR obtained serves as a specific fingerprint and contains all necessary information which is sufficient for calibration and classification of the informative-significant band frequencies that the complex or nanoscopic system studied might have.

Keywords

discrete spectroscopy, Prony's problem, strongly-correlated random sequences, non-orthogonal amplitude frequency analysis of the smoothed sequences

The name of the journal

Chaos, Solitons and Fractals

URL

https://doi.org/10.1016/j.chaos.2011.02.003

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=141099&p_lang=2

Resource files

File name	Size (MB)	Format
F_NAFASS_Discrete_spectroscopy_of_random_signals_removed.pdf	1,34	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Nigmatullin Ravil Rashidovich	ru_RU
dc.contributor.author	Osokin Sergey Igorevich	ru_RU
dc.contributor.author	Toboev Vyacheslav	ru_RU
dc.date.accessioned	2011-01-01T00:00:00Z	ru_RU
dc.date.available	2011-01-01T00:00:00Z	ru_RU
dc.date.issued	2011	ru_RU
dc.identifier.citation	Nigmatullin R.R, Osokin S.I, Toboev V.A., NAFASS: Discrete spectroscopy of random signals//Chaos, Solitons and Fractals. - 2011. - Vol.44, Is.4-5. - P.226-240.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=141099&p_lang=2	ru_RU
dc.description.abstract	Chaos, Solitons and Fractals	ru_RU
dc.description.abstract	In this paper we suggest a new discrete spectroscopy for analysis of random signals and fluctuations. This discrete spectroscopy is based on successful solution of the modified Prony's problem for the strongly-correlated random sequences. As opposed to the general Prony's problem where the set of frequencies is supposed to be unknown in the new approach suggested the distribution of the unknown frequencies can be found for the strongly-correlated random sequences. Preliminary information about the frequency distribution facilitates the calculations and attaches an additional stability in the presence of a noise. This spectroscopy uses only the informative-significant frequency band that helps to fit the given signal with high accuracy. It means that any random signal measured in t-domain can be “read” in terms of its amplitude-frequency response (AFR) without model assumptions related to the behavior of this signal in the frequency region. The method overcomes some essential drawbacks of the conventional Prony's method and can be determined as the non-orthogonal amplitude frequency analysis of the smoothed sequences (NAFASS). In this paper we outline the basic principles of the NAFASS procedure and show its high potential possibilities based on analysis of some actual NIR data. The AFR obtained serves as a specific fingerprint and contains all necessary information which is sufficient for calibration and classification of the informative-significant band frequencies that the complex or nanoscopic system studied might have.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	discrete spectroscopy	ru_RU
dc.subject	Prony's problem	ru_RU
dc.subject	strongly-correlated random sequences	ru_RU
dc.subject	non-orthogonal amplitude frequency analysis of the smoothed sequences	ru_RU
dc.title	NAFASS: Discrete spectroscopy of random signals	ru_RU
dc.type	Articles in international journals and collections	ru_RU