Zipf's law in short-time timbral codings of speech, music, and environmental sound signals

PLoS ONE

Volumn 7, Issue 3, 2012, Pages

  Haro, Martín ^a   Serrà, Joan ^a,b   Herrera, Perfecto ^a   Corral, Álvaro ^c  

^a UNIVERSITAT POMPEU FABRA   (Spain)

^b ARTIFICIAL INTELLIGENCE RESEARCH INSTITUTE IIIA CSIC   (Spain)

^c CENTRE DE RECERCA MATEMÀTICA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; AUDITORY SYSTEM PARAMETERS; CONTROLLED STUDY; DATA BASE; MATHEMATICAL PARAMETERS; MEMORY; MUSIC; SOUND; SOUND DETECTION; SPEECH; TIMBRE; ZIPF LAW;

ALGORITHMS; MODELS, STATISTICAL; MUSIC; PITCH DISCRIMINATION; SOUND; SOUND SPECTROGRAPHY; SPEECH ACOUSTICS;

EID: 84859036701     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0033993     Document Type: Article

References (56)

1. Bak P, (1996) How nature works: the science of self-organized criticality. Copernicus, New York.
2. Sethna JP, Dahmen KA, Myers CR, (2001) Crackling noise. Nature 410: 242-250.
3. Adamic LA, Huberman BA, (2002) Zipf's law and the Internet. Glottometrics 3: 143-150.
4. Malamud BD, (2004) Tails of natural hazards. Phys World 17 (8): 31-35.
5. Newman MEJ, (2005) Power laws, Pareto distributions and Zipf's law. Contemporary Physics 46: 323.
6. Zipf GK, (1949) Human behavior and the principle of least effort. Addison-Wesley.
7. Simon HA, (1955) On a class of skew distribution functions. Biometrika 42: 425-440.
8. Montroll EW, Shlesinger MF, (1982) On 1/f noise and other distributions with long tails. Proc Natl Acad Sci USA 79: 3380-3383.
9. Sornette D, (2004) Critical phenomena in natural sciences. Springer, Berlin, 2nd edition.
10. Mitzenmacher M, (2004) A brief history of generative models for power law and lognormal distributions. Internet Math 1 (2): 226-251.
11. Ferrer i Cancho R, Solé RV, (2003) Least effort and the origins of scaling in human language. Proc Natl Acad Sci USA 100: 788-791.
12. Barabasi AL, (2005) The origin of bursts and heavy tails in human dynamics. Nature 435: 207-211.
13. Cattuto C, Loreto V, Pietronero L, (2007) Semiotic dynamics and collaborative tagging. Proc Natl Acad Sci USA 104: 1461-1464.
14. Eliazar I, Klafter J, (2009) A unified and universal explanation for Levy laws and 1/f noises. Proc Natl Acad Sci USA 106: 12251-12254.
15. Saichev A, Malevergne Y, Sornette D, (2009) Theory of Zipf's law and of general power law distributions with Gibrat's law of proportional growth. Lecture Notes in Economics and Mathematical Systems. Springer Verlag, Berlin.
16. Corominas-Murtra B, Solé RV, (2010) Universality of Zipf's law. Phys Rev E 82: 011102.
17. Peterson GJ, Presse S, Dill KA, (2010) Nonuniversal power law scaling in the probability distribution of scientific citations. Proc Natl Acad Sci USA 107: 16023-16027.
18. Manning CD, Schütze H, (1999) Foundations of statistical natural language processing. The MIT Press, 1 edition.
19. Baeza-Yates R, (1999) Modern information retrieval. ACM Press, Addison-Wesley.
20. Hsü KJ, Hsü AJ, (1990) Fractal geometry of music. Proc Natl Acad Sci USA 87: 938-941.
21. Hsü KJ, Hsü AJ, (1991) Self-similarity of the "1/f noise" called music. Proc Natl Acad Sci USA 88: 3507-3509.
22. Manaris B, Romero J, Machado P, Krehbiel D, Hirzel T, et al. (2005) Zipf's law, music classification, and aesthetics. Computer Music Journal 29: 55-69.
23. Zanette DH, (2006) Zipf's law and the creation of musical context. Musicae Scientiae 10: 3-18.
24. Beltrán del Río M, Cocho G, Naumis GG, (2008) Universality in the tail of musical note rank distribution. Physica A 387: 5552-5560.
25. Zanette DH, (2008) Playing by numbers. Nature 453: 988-989.
26. Voss RF, Clarke J, (1975) 1/f noise in music and speech. Nature 258: 317-318.
27. Kramer EM, Lobkovsky AE, (1996) Universal power law in the noise from a crumpled elastic sheet. Phys Rev E 53: 1465.
28. Berg RE, Stork DG, (1995) The physics of sound. Prentice Hall, 2 edition.
29. American National Standards Institute (1973) Psychoacoustical terminology S3.20. ANSI/ASA.
30. Moore BCJ, (2005) Loudness, pitch and timbre. In: Blackwell handbook of sensation and perception, Blackwell Pub.
31. Quatieri TF, (2001) Discrete-time speech signal processing: principles and practice. Prentice Hall, 1 edition.
32. Müller M, Ellis DPW, Klapuri A, Richard G, (2011) Signal processing for music analysis. Selected Topics in Signal Processing, IEEE Journal of 5: 1088-1110.
33. Casey MA, Veltkamp R, Goto M, Leman M, Rhodes C, et al. (2008) Content-based music information retrieval: current directions and future challenges. Proceedings of the IEEE 96: 668-696.
34. Oceák A, Winkler I, Sussman E, (2008) Units of sound representation and temporal integration: A mismatch negativity study. Neurosci Lett 436: 85-89.
35. Zwicker E, (1961) Subdivision of the audible frequency range into critical bands (Frequenzgruppen). J Acoust Soc Am 33: 248.
36. Zwicker E, Terhardt E, (1980) Analytical expressions for critical-band rate and critical bandwidth as a function of frequency. J Acoust Soc Am 68: 1523.
37. Bethge M, Rotermund D, Pawelzik K, (2003) Second order phase transition in neural rate coding: binary encoding is optimal for rapid signal transmission. Phys Rev Lett 90: 088104.
38. Haitsma J, Kalker T, (2002) A highly robust audio fingerprinting system. pp. 107-115 In: Proceedings of the 3rd Conference on Music Information Retrieval (ISMIR).
39. Wilson BS, Finley CC, Lawson DT, Wolford RD, Eddington DK, et al. (1991) Better speech recognition with cochlear implants. Nature 352: 236-238.
40. Clauset A, Shalizi CR, Newman MEJ, (2009) Power-law distributions in empirical data. SIAM Review 51: 661.
41. Corral A, Font F, Camacho J, (2011) Non-characteristic half-lives in radioactive decay. Phys Rev E 83: 066103.
42. Ferrer i Cancho R, Elvevåg B, (2010) Random texts do not exhibit the real Zipf's law-like rank distribution. PLoS ONE 5: e9411.
43. Stevens SS, Volkmann J, Newman EB, (1937) A scale for the measurement of the psychological magnitude pitch. J Acoust Soc Am 8: 185-190.
44. Moore BCJ, Glasberg BR, (1996) A revision of Zwicker's loudness model. Acta Acustica united with Acustica 82: 335-345.
45. Bregman AS, (1990) Auditory scene analysis: the perceptual organization of sound. The MIT Press.
46. Hauser MD, Chomsky N, Fitch WT, (2002) The faculty of language: What is it, who has it, and how did it evolve? Science 298: 1569-1579.
47. Assaneo MF, Nichols JI, Trevisan MA, (2011) The anatomy of onomatopoeia. PLoS ONE 6: e28317.
48. Chater N, Brown GDA, (1999) Scale-invariance as a unifying psychological principle. Cognition 69: B17-B24.
49. Bigand E, Delbé C, Gérard Y, Tillmann B, (2011) Categorization of extremely brief auditory stimuli: Domain-Specific or Domain-General processes? PLoS ONE 6: e27024.
50. Plazak J, Huron D, (2011) The first three seconds. Musicae Scientiae 15: 29-44.
51. Harding S, Cooke M, König P, (2008) Auditory gist perception: an alternative to attentional selection of auditory streams? Springer-Verlag, Attention in Cognitive Systems, Lecture Notes in Artificial Intelligence.
52. Aucouturier JJ, Defreville B, Pachet F, (2007) The bag-of-frame approach to audio pattern recognition: A sufficient model for urban soundscapes but not for polyphonic music. Journal of the Acoustical Society of America 122 (2): 881-891.
53. Klapuri A, Davy M, eds. (2006) Signal Processing Methods for Music Transcription. Springer, 1 edition.
54. Liu B, (2011) Web data mining: exploring hyperlinks, contents, and usage data New York Springer, 2nd edition.
55. Fletcher H, Munson WA, (1933) Loudness, its definition, measurement and calculation. J Acoust Soc Am 5: 82.
56. Madisetti V, (1997) The digital signal processing handbook. CRC Press.