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Volumn 9, Issue 2, 2009, Pages 57-68

A short introduction to wavelets and their applications

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS WAVELET TRANSFORM; HISTORICAL BACKGROUND; MULTI-RESOLUTION; TYPICAL APPLICATION; WAVELET PACKET;

EID: 67650498346     PISSN: 1531636X     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCAS.2009.932556     Document Type: Article
Times cited : (85)

References (52)
  • 1
    • 0017552006 scopus 로고
    • A unifi ed approach to short-time Fourier analysis and synthesis
    • J. B. Allen and L. R. Rabiner,"A unifi ed approach to short-time Fourier analysis and synthesis," Proc. IEEE, vol. 65, no. 11, pp. 1558-1564, 1977.
    • (1977) Proc. IEEE , vol.65 , Issue.11 , pp. 1558-1564
    • Allen, J.B.1    Rabiner, L.R.2
  • 2
    • 0000293183 scopus 로고
    • Theory of communication
    • D. Gabor, "Theory of communication," IEE Radio Commun. Eng. J., vol. 93, no. 26, part III, pp. 429-457, 1946.
    • (1946) IEE Radio Commun. Eng. J , vol.93 , Issue.26 PART III , pp. 429-457
    • Gabor, D.1
  • 3
    • 0003833285 scopus 로고
    • Society for Industrial and Applied Mathematics
    • I. Daubechies, Ten Lectures on Wavelets. Society for Industrial and Applied Mathematics, 1992.
    • (1992) Ten Lectures on Wavelets
    • Daubechies, I.1
  • 7
    • 0019895729 scopus 로고
    • Wave propagation and sampling theory - 2. Sampling theory and complex waves
    • J. Morlet, G. Arens, E. Fourgeau, and D. Giard, "Wave propagation and sampling theory - 2. Sampling theory and complex waves," Geophysics, vol. 47, no. 2, pp. 222-236, 1982.
    • (1982) Geophysics , vol.47 , Issue.2 , pp. 222-236
    • Morlet, J.1    Arens, G.2    Fourgeau, E.3    Giard, D.4
  • 8
    • 0030130052 scopus 로고    scopus 로고
    • Wavelets: The mathematical background
    • A. Cohen and J. Kovacevic, "Wavelets: the mathematical background," roc. IEEE, vol. 84, no. 4, pp. 514-522, 1996.
    • (1996) roc. IEEE , vol.84 , Issue.4 , pp. 514-522
    • Cohen, A.1    Kovacevic, J.2
  • 9
    • 0030128269 scopus 로고    scopus 로고
    • Wavelets and time-frequency analysis
    • N. Hess-Nielsen and M. V. Wickerhauser, "Wavelets and time-frequency analysis," roc. IEEE, vol. 84, no. 4, pp. 523-540, 1996.
    • (1996) roc. IEEE , vol.84 , Issue.4 , pp. 523-540
    • Hess-Nielsen, N.1    Wickerhauser, M.V.2
  • 10
  • 11
    • 0024705330 scopus 로고
    • Time -frequency distributions -a review
    • L. Cohen, "Time -frequency distributions -a review," Proc. IEEE, vol. 77, no. 7, pp. 941-981, 1989.
    • (1989) Proc. IEEE , vol.77 , Issue.7 , pp. 941-981
    • Cohen, L.1
  • 12
    • 0033097610 scopus 로고    scopus 로고
    • Joint time-frequency analysis
    • S. Qian and D. Chen, "Joint time-frequency analysis," IEEE Signal Process. Mag., vol. 16, no. 2, pp. 52-67, 1999.
    • (1999) IEEE Signal Process. Mag , vol.16 , Issue.2 , pp. 52-67
    • Qian, S.1    Chen, D.2
  • 16
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • S. G. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, no. 7, pp. 674-693, 1989.
    • (1989) IEEE Trans. Pattern Anal. Machine Intell , vol.11 , Issue.7 , pp. 674-693
    • Mallat, S.G.1
  • 17
    • 0027274183 scopus 로고
    • The binomial QMF-wavelet transform for multiresolution signal decomposition
    • A. N. Akansu, R. A. Haddad, and H. Caglar, "The binomial QMF-wavelet transform for multiresolution signal decomposition," EEE Trans. Signal Process., vol. 41, no. 1, p. 13, 1993.
    • (1993) EEE Trans. Signal Process , vol.41 , Issue.1 , pp. 13
    • Akansu, A.N.1    Haddad, R.A.2    Caglar, H.3
  • 19
    • 0019543409 scopus 로고
    • Interpolation and decimation and of digital signals - A tutorial review
    • R. E. Crochiere and L. R. Rabiner, "Interpolation and decimation and of digital signals - A tutorial review," Proc. IEEE, vol. 69, no. 3, pp. 300-331, 1981.
    • (1981) Proc. IEEE , vol.69 , Issue.3 , pp. 300-331
    • Crochiere, R.E.1    Rabiner, L.R.2
  • 20
    • 0021409464 scopus 로고
    • Quadrature mirror fi lter design in the time domain
    • V. Jain and R. Crochiere, "Quadrature mirror fi lter design in the time domain," EEE Trans. Acoustics Speech Signal Process., vol. 32, no. 2, pp. 353-361, 1984.
    • (1984) EEE Trans. Acoustics Speech Signal Process , vol.32 , Issue.2 , pp. 353-361
    • Jain, V.1    Crochiere, R.2
  • 21
    • 0025244687 scopus 로고
    • Multirate digital filters, filter banks, polyphase networks, and applications: A tutorial
    • P. P. Vaidyanathan, "Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial," Proc. IEEE, vol. 78, no. 1, pp. 56-93, 1990.
    • (1990) Proc. IEEE , vol.78 , Issue.1 , pp. 56-93
    • Vaidyanathan, P.P.1
  • 22
    • 0026922952 scopus 로고
    • Wavelets and fi lter banks: Theory and design
    • M. Vetterli and C. Herley, "Wavelets and fi lter banks: theory and design," EEE Trans. Signal Process., vol. 40, no. 9, pp. 2207-2232, 1992.
    • (1992) EEE Trans. Signal Process , vol.40 , Issue.9 , pp. 2207-2232
    • Vetterli, M.1    Herley, C.2
  • 23
    • 0027649181 scopus 로고
    • Wavelets and recursive fi lter banks
    • C. Herley and M. Vetterli, "Wavelets and recursive fi lter banks," IEEE Trans. Signal Process., vol. 41, no. 8, pp. 2536-2556, 1993.
    • (1993) IEEE Trans. Signal Process , vol.41 , Issue.8 , pp. 2536-2556
    • Herley, C.1    Vetterli, M.2
  • 24
    • 0027842083 scopus 로고
    • Linear phase paraunitary filter banks: Theory, factorizations and designs
    • A. K. Soman, P. P. Vaidyanathan, and T. Q. Nguyen, "Linear phase paraunitary filter banks: Theory, factorizations and designs," IEEE Trans. Signal Process., vol. 41, no. 12, pp. 3480-3496, 1993.
    • (1993) IEEE Trans. Signal Process , vol.41 , Issue.12 , pp. 3480-3496
    • Soman, A.K.1    Vaidyanathan, P.P.2    Nguyen, T.Q.3
  • 25
    • 0027812786 scopus 로고
    • Regular wavelets: A discrete-time approach
    • O. Rioul, "Regular wavelets: A discrete-time approach," EEE Trans. Signal Process., vol. 41, no. 12, pp. 3572-3579, 1993.
    • (1993) EEE Trans. Signal Process , vol.41 , Issue.12 , pp. 3572-3579
    • Rioul, O.1
  • 26
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets, ommun
    • I. Daubechies, "Orthonormal bases of compactly supported wavelets," ommun. Pure Appl. Math., vol. 41, pp. 909-996, 1988.
    • (1988) Pure Appl. Math , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 27
    • 0025482241 scopus 로고
    • The wavelet transform, time-frequency localization and signal analysis
    • I. Daubechies, "The wavelet transform, time-frequency localization and signal analysis," IEEE Trans. Inform. Theory, vol. 36, no. 5, pp. 961-1005, 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , Issue.5 , pp. 961-1005
    • Daubechies, I.1
  • 30
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms
    • G. Beylkin, R. R. Coifman, and V. Rokhlin, "Fast wavelet transforms and numerical algorithms," Commun. Pure Appl. Math., vol. 44, pp. 141-183, 1991.
    • (1991) Commun. Pure Appl. Math , vol.44 , pp. 141-183
    • Beylkin, G.1    Coifman, R.R.2    Rokhlin, V.3
  • 32
    • 0028526477 scopus 로고
    • Removing noise from music using local trigonometric bases and wavelet packets
    • J. Berger, R. R. Coifman, and M. J. Goldberg, "Removing noise from music using local trigonometric bases and wavelet packets," J. Audio Eng. Soc., vol. 42, no. 10, pp. 808-818, 1994.
    • (1994) J. Audio Eng. Soc , vol.42 , Issue.10 , pp. 808-818
    • Berger, J.1    Coifman, R.R.2    Goldberg, M.J.3
  • 33
    • 0024904699 scopus 로고
    • Multifrequency channel decompositions of images and wavelet models
    • S. G. Mallat, "Multifrequency channel decompositions of images and wavelet models," IEEE Trans. Acoustics Speech Signal Process., vol. 37, no. 12, pp. 2091-2110, 1989.
    • (1989) IEEE Trans. Acoustics Speech Signal Process , vol.37 , Issue.12 , pp. 2091-2110
    • Mallat, S.G.1
  • 34
    • 0026852080 scopus 로고    scopus 로고
    • M. Antonini, M. Barlaud, P. Mathieu, a nd I. Daubechies, Image coding using wavelet transform, EEE Trans. Image Process., 1, no. 2, pp. 205-220, 1992.
    • M. Antonini, M. Barlaud, P. Mathieu, a nd I. Daubechies, "Image coding using wavelet transform," EEE Trans. Image Process., vol. 1, no. 2, pp. 205-220, 1992.
  • 35
  • 36
    • 20744459569 scopus 로고    scopus 로고
    • JPEG 2000: Retrospective and new developments
    • D. T. Lee, "JPEG 2000: Retrospective and new developments," Proc. IEEE, vol. 93, no. 1, pp. 32-41, 2005.
    • (2005) Proc. IEEE , vol.93 , Issue.1 , pp. 32-41
    • Lee, D.T.1
  • 37
    • 0026745216 scopus 로고
    • A method of sieves for multiresolution spectrum estimation and radar imaging
    • P. Moulin, J. A. O'Sullivan, and D. L. Snyder, "A method of sieves for multiresolution spectrum estimation and radar imaging," EEE Trans. Inform. Theory, vol. 38, no. 2, pp. 801-813, 1992.
    • (1992) EEE Trans. Inform. Theory , vol.38 , Issue.2 , pp. 801-813
    • Moulin, P.1    O'Sullivan, J.A.2    Snyder, D.L.3
  • 38
    • 0030128561 scopus 로고    scopus 로고
    • Emerging applications of multirate signal processing and wavelets in digital communications
    • G. W. Wornell, "Emerging applications of multirate signal processing and wavelets in digital communications," Proc. IEEE, vol. 84, no. 4, pp. 586-603, 1996.
    • (1996) Proc. IEEE , vol.84 , Issue.4 , pp. 586-603
    • Wornell, G.W.1
  • 39
  • 41
    • 67650397313 scopus 로고    scopus 로고
    • M. Akay and IEEE Engineering in Medicine and Biology Society, Time frequency and Wavelets in Biomedical Signal Processing. IEEE Press, 1998.
    • M. Akay and IEEE Engineering in Medicine and Biology Society, Time frequency and Wavelets in Biomedical Signal Processing. IEEE Press, 1998.
  • 42
    • 0026759942 scopus 로고
    • Two applications of wavelet transforms in magnetic resonance imaging
    • D. M. Healy, Jr., and J. B. Weaver, "Two applications of wavelet transforms in magnetic resonance imaging," IEEE Trans. Inform. Theory, vol. 38, no. 2, pp. 840-860, 1992.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , Issue.2 , pp. 840-860
    • Healy Jr., D.M.1    Weaver, J.B.2
  • 43
    • 0029112889 scopus 로고
    • Adapted waveform denoising for medical signals and images
    • R. R. Coifman and M. V. Wickerhauser, "Adapted waveform denoising" for medical signals and images," IEEE Eng. Med. Biol. Mag., vol. 14, no. 5, pp. 578-586, 1995.
    • (1995) IEEE Eng. Med. Biol. Mag , vol.14 , Issue.5 , pp. 578-586
    • Coifman, R.R.1    Wickerhauser, M.V.2
  • 44
    • 0030127507 scopus 로고    scopus 로고
    • A review of wavelets in biomedical applications
    • M. Unser and A. Aldroubi, "A review of wavelets in biomedical applications," Proc. IEEE, vol. 84, no. 4, pp. 626-638, 1996.
    • (1996) Proc. IEEE , vol.84 , Issue.4 , pp. 626-638
    • Unser, M.1    Aldroubi, A.2
  • 46
    • 0029307534 scopus 로고
    • De-noising by soft-thresholding
    • D. L. Donoho, "De-noising by soft-thresholding," IEEE Trans. Inform. Theory, vol. 41, no. 3, pp. 613-627, 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , Issue.3 , pp. 613-627
    • Donoho, D.L.1
  • 47
    • 0033344876 scopus 로고    scopus 로고
    • On denoising and best signal representation
    • H. Krim, D. Tucker, S. Mallat, and D. Donoho, "On denoising and best signal representation," EEE Trans. Inform. Theory, vol. 45, no. 7, pp. 2225-2238, 1999.
    • (1999) EEE Trans. Inform. Theory , vol.45 , Issue.7 , pp. 2225-2238
    • Krim, H.1    Tucker, D.2    Mallat, S.3    Donoho, D.4
  • 48
    • 0022808786 scopus 로고
    • A computational approach to edge detection
    • J. Canny, "A computational approach to edge detection," IEEE Trans. Pattern Anal. Machine Intell., vol. 8, no. 6, pp. 679-98, 1986.
    • (1986) IEEE Trans. Pattern Anal. Machine Intell , vol.8 , Issue.6 , pp. 679-698
    • Canny, J.1
  • 49
    • 84898785264 scopus 로고
    • Characterization of the signals from multiscale edges
    • July
    • S. G. Mallat and S. Zhong, "Characterization of the signals from multiscale edges," EEE Trans. Pattern Anal. Machine Intell., vol. 14, pp. 710-732, July 1992.
    • (1992) EEE Trans. Pattern Anal. Machine Intell , vol.14 , pp. 710-732
    • Mallat, S.G.1    Zhong, S.2
  • 50
  • 51
    • 33947416035 scopus 로고    scopus 로고
    • Near optimal signal recovery from random projections: Universal encoding strategies?
    • E. Candes and T. Tao, "Near optimal signal recovery from random projections: Universal encoding strategies?" IEEE Trans. Inform. Theory, vol. 52, no. 12, pp. 5406-5425, 2006.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candes, E.1    Tao, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.