Variance fluctuations in nonstationary time series: a comparative study of music genres
Physica A Statistical Mechanics and its ApplicationsPublished 29 January 2004Open access
Heather D Jennings, Plamen Ch. Ivanov, Allan Martins, P.C da Silva, G. M. Viswanathan
Citations70
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
An important problem in physics concerns the analysis of audio time series\ngenerated by transduced acoustic phenomena. Here, we develop a new method to\nquantify the scaling properties of the local variance of nonstationary time\nseries. We apply this technique to analyze audio signals obtained from selected\ngenres of music. We find quantitative differences in the correlation properties\nof high art music, popular music, and dance music. We discuss the relevance of\nthese objective findings in relation to the subjective experience of music.\n
Keywords
Computer ScienceEconomics, Econometrics and FinanceBiochemistry, Genetics and Molecular Biology
Choice Reviews OnlineNumerical recipes in C: the art of scientific computing
17,989 Citations1993Press, William H, Flannery, Brian P +2 more
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsMosaic organization of DNA nucleotides
5,023 Citations1994Chung‐Kang Peng, Sergey V. Buldyrev +4 more
This work analyzes two classes of controls consisting of patchy nucleotide sequences generated by different algorithms--one without and one with long-range power-law correlations, finding that both types of sequences are quantitatively distinguishable by an alternative fluctuation analysis method.
Chaos An Interdisciplinary Journal of Nonlinear ScienceQuantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
3,859 Citations1995Chung‐Kang Peng, Shlomo Havlin +2 more
A new method--detrended fluctuation analysis (DFA)--for quantifying this correlation property in non-stationary physiological time series is described and application of this technique shows evidence for a crossover phenomenon associated with a change in short and long-range scaling exponents.
Physica A Statistical Mechanics and its ApplicationsDetecting long-range correlations with detrended fluctuation analysis
1,380 Citations2001Jan W. Kantelhardt, Eva Koscielny–Bunde +3 more
It is shown that deviations from scaling which appear at small time scales become stronger in higher orders of detrended fluctuation analysis, and a modified DFA method is suggested to remove them.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsEffect of trends on detrended fluctuation analysis
1,279 Citations2001Kun Hu, Plamen Ch. Ivanov +3 more
It is shown how to use DFA appropriately to minimize the effects of trends, how to recognize if a crossover indicates indeed a transition from one type to a different type of underlying correlation, or if the crossover is due to a trend without any transition in the dynamical properties of the noise.
FractalsESTIMATORS FOR LONG-RANGE DEPENDENCE: AN EMPIRICAL STUDY
1,187 Citations1995Murad S. Taqqu, Vadim Teverovsky +1 more
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsEffect of nonstationarities on detrended fluctuation analysis
953 Citations2002Zhi Chen, Plamen Ch. Ivanov +2 more
It is found that introducing nonstationarities to stationary correlated signals leads to the appearance of crossovers in the scaling behavior and it is shown how to develop strategies for preprocessing "raw" data prior to analysis, which will minimize the effects of non stationarities on the scaling properties of the data.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsLong-range correlation properties of coding and noncoding DNA sequences: GenBank analysis
592 Citations1995Sergey V. Buldyrev, Ary L. Goldberger +6 more
An open question in computational molecular biology is whether long-range correlations are present in both coding and noncoding DNA or only in the latter, and the near-perfect agreement between the two independent analysis methods, FFT and DFA, increases the confidence in the reliability of the conclusion.
Chaos An Interdisciplinary Journal of Nonlinear ScienceFrom 1/f noise to multifractal cascades in heartbeat dynamics
410 Citations2001Plamen Ch. Ivanov, Luı́s A. Nunes Amaral +5 more
The degree to which concepts developed in statistical physics can be usefully applied to physiological signals is explored, and very recent work that quantifies multifractal features in these cascades is described, and the discovery that the multifractional structure of healthy dynamics is lost with congestive heart failure is described.
The MIT Press eBooksCircuits, Signals, and Systems
389 Citations1985William M. Siebert
These twenty lectures have been developed and refined by Professor Siebert during the more than two decades he has been teaching introductory Signals and Systems courses at MIT and are designed to familiarize students with the properties of a fundamental set of analytical tools.
Journal of the American Academy of Child & Adolescent PsychiatryAdolescent Suicide: Music Preference as an Indicator of Vulnerability
175 Citations1993Graham Martin, Mike Clarke +1 more
Both preference for rock/metal music, particularly in girls, and feeling worse after listening to the music may be indicators in adolescents of vulnerability to suicidal thoughts and actions.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsDeviations from uniform power law scaling in nonstationary time series
100 Citations1997G. M. Viswanathan, Chung‐Kang Peng +2 more
This work test the hypothesis that the scaling properties of the dynamics of healthy physiological systems are more stable than those of pathological systems by studying beat-to-beat fluctuations in the human heart rate, and develops techniques based on the Fano factor and Allan factor functions for quantifying deviations from uniform power-law scaling in nonstationary time series.
Physiological MeasurementRelationship between detrended fluctuation analysis and spectral analysis of heart-rate variability
74 Citations2002Keith Willson, Dárrel P. Francis +3 more
The alpha coefficient of DFA can be described in power-spectral terms, which facilitates exploration of its physiological basis, and it is shown F2 can be obtained from a frequency-weighted power spectrum without DFA.
Journal of New Music ResearchTime-Frequency Analysis for Music Signals: A Mathematical Approach
51 Citations2001Monika D�rfler
A link between certain problems that arise when digital audio signals are processed, and a branch of mathematical theory, called Gabor analysis, is established, and the idea of locally adaptive sets of building blocks will yield a generalisation of spectral domain methods especially helpful in the investigation of music signals.
Chaos An Interdisciplinary Journal of Nonlinear ScienceDynamical systems theory for music dynamics
48 Citations1995Jean Pierre Boon, Olivier Decroly
It is shown that, when music pieces are cast in the form of time series of pitch variations, the concepts and tools of dynamical systems theory can be applied to the analysis of temporal dynamics in music.
Biophysical JournalQuantification of DNA Patchiness Using Long-Range Correlation Measures
43 Citations1997G. M. Viswanathan, Sergey V. Buldyrev +2 more
It is found that, by themselves, neither the alternation of coding and noncoding regions, nor repetitive sequences, can fully explain the long-range correlation properties of DNA.
PsychiatryMusic Effects on EEG in Intrusive and Withdrawn Mothers with Depressive Symptoms
35 Citations2003Alexandra Tornek, Tiffany Field +3 more
Although more positive EEGs were noted for rock music in both groups, only the withdrawn Mothers showed a significant change in EEG toward symmetry following rock music, and only the intrusive mothers showed a decrease in cortisol levels following the rock music.
Physica A Statistical Mechanics and its ApplicationsThe origin of fat-tailed distributions in financial time series
32 Citations2003G. M. Viswanathan, Umberto L. Fulco +2 more
Artificial Intelligence ReviewVisualization of rhythm, time and metre
28 Citations1996Neil P. McAngus Todd, Guy J. Brown
The relationship between rhythm, time perception and metre is discussed in the light of a recent “auditory-motor” theory of beat induction.
Europhysics Letters (EPL)Natural Flicker Noise (“1/ <i>f</i> Noise”) in Music
18 Citations1987Yu. L. Klimontovich, Jean Pierre Boon
