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Volumn 236, Issue 6, 2011, Pages 1481-1496

Theory, implementation and applications of nonstationary Gabor frames

Author keywords

Adaptive representation; Constant Q transform; Invertibility; Timefrequency analysis

Indexed keywords

ADAPTIVE REPRESENTATIONS; AUTOMATIC ADAPTATION; CONSTANT-Q TRANSFORM; DUAL FRAMES; EXPLICIT FORMULA; GABOR FRAMES; GABOR THEORY; INVERTIBILITY; NONSTATIONARY; PERFECT RECONSTRUCTION; TIME-FREQUENCY PLANES; TIME-FREQUENCY RESOLUTION; TIMEFREQUENCY ANALYSIS;

EID: 80955130704     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2011.09.011     Document Type: Article
Times cited : (136)

References (37)
  • 2
    • 80955142012 scopus 로고
    • CBMS-NSF Regional Conference Series in Applied Mathematics SIAM Philadelphia
    • I. Daubechies Ten Lectures on Wavelets CBMS-NSF Regional Conference Series in Applied Mathematics 1992 SIAM Philadelphia
    • (1992) Ten Lectures on Wavelets
    • Daubechies, I.1
  • 3
    • 0026471285 scopus 로고
    • An efficient algorithm for the calculation of a constant Q transform
    • J.C. Brown, and M.S. Puckette An efficient algorithm for the calculation of a constant Q transform J. Acoust. Soc. Am. 92 1992 2698 2701
    • (1992) J. Acoust. Soc. Am. , vol.92 , pp. 2698-2701
    • Brown, J.C.1    Puckette, M.S.2
  • 7
    • 0027798111 scopus 로고
    • Adapted local trigonometric transforms and speech processing
    • E. Wesfreid, and M.V. Wickerhauser Adapted local trigonometric transforms and speech processing IEEE Trans. Signal Process. 41 1993 3596 3600
    • (1993) IEEE Trans. Signal Process. , vol.41 , pp. 3596-3600
    • Wesfreid, E.1    Wickerhauser, M.V.2
  • 8
    • 0031077325 scopus 로고    scopus 로고
    • Flexible tree-structured signal expansions using time-varying wavelet packets
    • K. Ramchandran, Z. Xiong, C. Herley, and M. Orchard Flexible tree-structured signal expansions using time-varying wavelet packets IEEE Trans. Signal Process. 45 1997 233 245
    • (1997) IEEE Trans. Signal Process. , vol.45 , pp. 233-245
    • Ramchandran, K.1    Xiong, Z.2    Herley, C.3    Orchard, M.4
  • 9
    • 77951147585 scopus 로고    scopus 로고
    • Superposition frames for adaptive timefrequency analysis and fast reconstruction
    • D. Rudoy, B. Prabahan, and P. Wolfe Superposition frames for adaptive timefrequency analysis and fast reconstruction IEEE Trans. Signal Process. 58 2010 2581 2596
    • (2010) IEEE Trans. Signal Process. , vol.58 , pp. 2581-2596
    • Rudoy, D.1    Prabahan, B.2    Wolfe, P.3
  • 17
    • 0001736880 scopus 로고    scopus 로고
    • The art of frame theory
    • P.G. Casazza The art of frame theory Taiwanese J. Math. 4 2000 129 202
    • (2000) Taiwanese J. Math. , vol.4 , pp. 129-202
    • Casazza, P.G.1
  • 19
    • 0000293183 scopus 로고
    • Theory of communications
    • D. Gabor Theory of communications J. IEE 93 26 1946 429 457
    • (1946) J. IEE , vol.93 , Issue.26 , pp. 429-457
    • Gabor, D.1
  • 25
    • 2442697562 scopus 로고    scopus 로고
    • Localization of frames, Banach frames, and the invertibility of the frame operator
    • K. Gröchenig Localization of frames, Banach frames, and the invertibility of the frame operator J. Fourier Anal. Appl. 10 2004 105 132
    • (2004) J. Fourier Anal. Appl. , vol.10 , pp. 105-132
    • Gröchenig, K.1
  • 26
    • 35549004574 scopus 로고    scopus 로고
    • On multivariate compactly supported bi-frames
    • M. Ehler On multivariate compactly supported bi-frames J. Fourier Anal. Appl. 13 2007 511 532
    • (2007) J. Fourier Anal. Appl. , vol.13 , pp. 511-532
    • Ehler, M.1
  • 27
    • 53049104556 scopus 로고    scopus 로고
    • Wavelet bi-frames with few generators from multivariate refinable functions
    • M. Ehler, and B. Han Wavelet bi-frames with few generators from multivariate refinable functions Appl. Comput. Harmon. Anal. 25 2008 407 414
    • (2008) Appl. Comput. Harmon. Anal. , vol.25 , pp. 407-414
    • Ehler, M.1    Han, B.2
  • 28
    • 70349932851 scopus 로고    scopus 로고
    • Nonlinear approximation associated with nonseparable wavelet bi-frames
    • M. Ehler Nonlinear approximation associated with nonseparable wavelet bi-frames J. Approx. Theory 161 2009 292 313
    • (2009) J. Approx. Theory , vol.161 , pp. 292-313
    • Ehler, M.1
  • 29
    • 79956197754 scopus 로고    scopus 로고
    • The multiresolution structure of pairs of dual wavelet frames for a pair of sobolev spaces
    • M. Ehler The multiresolution structure of pairs of dual wavelet frames for a pair of sobolev spaces Jaen J. Approx. 2 2010 193 214
    • (2010) Jaen J. Approx. , vol.2 , pp. 193-214
    • Ehler, M.1
  • 31
    • 33947535809 scopus 로고    scopus 로고
    • Time-frequency jigsaw puzzle: Adaptive multiwindow and multilayered gabor representations
    • F. Jaillet, and B. Torrésani Time-frequency jigsaw puzzle: adaptive multiwindow and multilayered gabor representations Int. J. Wavelets Multiresolut. Inf. Process. 5 2007 293 316
    • (2007) Int. J. Wavelets Multiresolut. Inf. Process. , vol.5 , pp. 293-316
    • Jaillet, F.1    Torrésani, B.2
  • 34
    • 0026057076 scopus 로고
    • Calculation of a constant Q spectral transform
    • J. Brown Calculation of a constant Q spectral transform J. Acoust. Soc. Am. 89 1991 425 434
    • (1991) J. Acoust. Soc. Am. , vol.89 , pp. 425-434
    • Brown, J.1
  • 35
    • 68249150714 scopus 로고    scopus 로고
    • Frequency-domain design of overcomplete rational-dilation wavelet transforms
    • . Bayram, and I.W. Selesnick Frequency-domain design of overcomplete rational-dilation wavelet transforms IEEE Trans. Signal Process. 57 2009 2957 2972
    • (2009) IEEE Trans. Signal Process. , vol.57 , pp. 2957-2972
    • Bayram1    Selesnick, I.W.2
  • 36
    • 0043093905 scopus 로고    scopus 로고
    • Order tracking by discrete Gabor expansion
    • H. Shao, W. Jin, and S. Qian Order tracking by discrete Gabor expansion IEEE Trans. Instrum. Meas. 52 2003 754 761
    • (2003) IEEE Trans. Instrum. Meas. , vol.52 , pp. 754-761
    • Shao, H.1    Jin, W.2    Qian, S.3
  • 37
    • 80052456189 scopus 로고    scopus 로고
    • Quilted Gabor framesa new concept for adaptive timefrequency representation
    • M. Dörfler Quilted Gabor framesa new concept for adaptive timefrequency representation Adv. Appl. Math. 47 2011 668 687
    • (2011) Adv. Appl. Math. , vol.47 , pp. 668-687
    • Dörfler, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.