从时频分布到连续子波变换

张晓平; 田立生; 彭应宁

从时频分布到连续子波变换

计量
- 文章访问数: 2428
- HTML全文浏览量: 131
- PDF下载量: 437
- 被引次数: 0
出版历程
- 收稿日期: 1994-01-21
- 修回日期: 1994-07-01
- 刊出日期: 1994-11-19

FROM TIME-FREQUENCY DISTRIBUTION TO CONTINUOUS WAVELET TRANSFORM

摘要

摘要: 本文从时频分布的物理概念出发,首先指出了各种时频分析方法的内在联系和差别,然后着重从连续子波变换在信号分析中的物理意义来讨论它的数学表示和特有性质,并和短时傅里叶变换作了比较。接着对连续子波变换在时间尺度平面上的离散化的概念作了扼要描述。最后,基于文中叙述的物理概念,对子波变换的应用和进展作了简要评述。
- 时频分布; 短时傅里叶变换; 子波变换
Abstract: Based on the concept of time-frequency distribution, the relationship and differences among various time-frequency methods are described. Then the mathematical expression of continuous wavelet transform and its significant meaning in signal processing are discussed. Compared with short-time Fourier transform the special characteristics of continuous wavelet transform are shown. The concept of-the discrete case of continuous wavelet transform in time-scale plane is introduced. Finally, some applications and advances of wavelet transforms are reviewed based on concepts proposed in this paper.

HTML全文

参考文献(1)

Gabor D. J. 1EE, 1946, Nov., 93: 429-457.[2]焦李成,保铮.电子学报,1993,21(7): 91-96,84.[3]张晓平,彭应宁,田立生.子波变涣:从连续到离散.〔技术研究报告1.清华大学电子工程系,1994.[4]Cohen L. Proc. IEEE, 1989, 77(7) 941-991.[5]Hlawatsch F, Boudreauz-Bartels G F. IEEE SP Mag., 1992, 9(2):21-67.[6]Classen T A C M, Mecklenbrauer W F G. Phillips J. Res., 1980, 355(3-6): 217-250, 276-300, 372-389.[7]Mandel L. Am. J[J].Phys.1974, 42(5):840-846[8]Rioul O, Vett-rli M. IEEE SP Mag., 1991, 8(4): 14-38.[9]Rioul O, FIandrin P. IEEE Trans. on SP 1992, SP-40(7): 1746-1757.[10]Grossmann A, et al. Wavelets, Time-frequency methods and phase space, Berlin: Springer, 1989, 68-98.[11]Grossmann A, Morlet J. SIAM J. Math. Anal., 1984, 15(4): 723-736.[12]Gohen A, Daubechies I, Feauveau J C. Comm. Pure and Appl. Math., 1992, 45(4):465-560.[13]Cohen A, Daubechies I. SIAM J. Math. Anal., 1993, 24(2): 520-527.[14]Daubecbies I. Comm. Pure and Appl. Math. 1988, 41(7): 906-996.[15]Daubechies I. SIAM J. Math. Anal., 1993, 24(2): 499-519.[16]Daubechies I. IEEE Trans. on IT, 1990, IT-36(5): 961-1005.[17]Danbechies I. Ten Lectures on Wavelets, Philadelphia: SIAM, 1992.[18]Mallat S. Trans. Amer Math. Soc., 1989, 315(1): 69-87.[19]迈耶 Y 著.世界图书出版公司译.小波与算子.北京;1992.[20]Rioul O. SIAM J. Math. Anal., 1992, 23(6): 1544-1576.[21]Scolnik M I.Introduction to Radar Systems, New York: McGraw-Hill, 1980.[22]Mallat S, Hwang W L. IEEE Trans. on IT, 1992, IT-39(2): 617-643.[23]Mallat S. IEEE Trans. on PAMI, 1989, PAM1-11(7): 674-693.[24]Mallat S. IEEE Trans. on ASSP, 1989, ASSP-37(12): 2091-2110.[25]Rioul O. IEEE Trans. on SP, 1993, SP-41(8): 2591-2606.[26]Shensa M J. IEEE Trans. on SP, 1992, SP-40(10): 2464-2482.[27]Vetterli M, Herley C. IEEE Trans. on SP, 1992, SP-40(9): 2207-2232.[28]Akansu A N, Haddad R A.Multiresolution Signal Decomposition. New Jersey; Academic Press, 1992.[29]Steffen P, et al. IEEE Trans. on SP, 1993, SP-41(12): 3497-3511.[30]Somun A K, Vaidyanathan P P. IEEE Trans. on SP, 1993, SP-41(3): 1170-1183.[31]Mallat S, Zhang S. IEEE Trans. on PAMI, 1992, PAM1-14(7): 710-732.[32]Friedlander A, Porat B. IEEE Trans. on IT, 1992, IT-38(2): 665-673.[33]Weiss L G. IEEE SP Mag., 1994, 11(1): 13-32.[34]Altes R. J. Acoust. Soc. Am., 1980, 47(4): 1232-1246.[35]Kumer B V K V, Carroll W C. Opt Eng., 1984, 23(6): 732-737.[36]Cohen L. IEEE Trans. on SP, 1993, SP-41(12): 3275-3292.[37]Claus B. IEEE Trans. on SP, 1993, SP-41(12): 3266-3274.[38]Wornell G W.Proc. IEEE 1993, 81(10): 1428-1450.[39]Mann S, Haykin S. Opt. Eng., 1992, 31(6): 1243-1256.[40]Coifmun R, Wickerhanser M V. IEEE Trans. on IT, 1992, IT-38(2): 713-718.[41]Queiroz R L, et al. IEEE Trans. on SP, 1993, SP-41(12): 3293-3305.[42]Mallat S, Zhang S. IEEE Trans. on SP, 1993, SP-41(12):3397-3415.[43]Pati Y C, Krishnaprasad P S. IEEE Trans. on NN, 1993, NN-4(1): 73-85.

施引文献

资源附件(0)

访问统计