Instantaneous spectrum

被引:0
|
作者
Meno, FM [1 ]
机构
[1] Univ Pittsburgh, Pittsburgh, PA 15213 USA
关键词
spectrum; instantaneous spectrum; time-frequency distribution; uncertainty relations; signal analysis; Fourier transform;
D O I
10.4006/1.3028766
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A brief summary of the Fourier and other transforms is presented, and their applicability is discussed. The issue of the uncertainty relations in conjunction with these transforms is clarified; and finally, a method for obtaining the instantaneous spectrum, which corresponds to infinite resolution in time-frequency energy density distributions with zero uncertainty, is outlined.
引用
收藏
页码:60 / 68
页数:9
相关论文
共 50 条
  • [21] Instantaneous reactive power theory and methods
    Zhao, He
    Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, 2014, 34 : 47 - 53
  • [22] Positive-instantaneous frequency and approximation
    Qian, Tao
    FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (03) : 337 - 371
  • [23] ON THE INSTANTANEOUS FREQUENCY OF GAUSSIAN STOCHASTIC PROCESSES
    Wahlberg, Patrik
    Schreier, Peter J.
    PROBABILITY AND MATHEMATICAL STATISTICS-POLAND, 2012, 32 (01): : 69 - 92
  • [24] Spectrum of Periodically Correlated Fields
    Dehay, Dominique
    Hurd, Harry
    Makagon, Andrzej
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 7 (03): : 343 - 368
  • [25] Determination of instantaneous curvature and twist by digital shearography
    Fu, Yu
    Guo, Min
    Liu, Huan
    OPTICAL ENGINEERING, 2012, 51 (08)
  • [26] Instantaneous frequencies of signals obtained by the analytic signal method
    Suzuki, Hideo
    Ma, Furong
    Izumi, Hideaki
    Yamazaki, Osamu
    Okawa, Shigeki
    Kido, Ken'iti
    ACOUSTICAL SCIENCE AND TECHNOLOGY, 2006, 27 (03) : 163 - 170
  • [27] Bearing damage classification using instantaneous energy density
    Shakya, Piyush
    Darpe, Ashish K.
    Kulkarni, Makarand S.
    JOURNAL OF VIBRATION AND CONTROL, 2017, 23 (16) : 2578 - 2618
  • [28] The Wave Front Set of the Wigner Distribution and Instantaneous Frequency
    Boggiatto, Paolo
    Oliaro, Alessandro
    Wahlberg, Patrik
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2012, 18 (02) : 410 - 438
  • [29] A direct algebraic method of instantaneous wave source localization
    Koyama, Shoichi
    Kurihara, Toru
    Ando, Shigeru
    2008 PROCEEDINGS OF SICE ANNUAL CONFERENCE, VOLS 1-7, 2008, : 501 - 506
  • [30] Real Spectrum Versus ℓ-Spectrum via Brumfiel Spectrum
    Friedrich Wehrung
    Algebras and Representation Theory, 2023, 26 : 137 - 158