한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제11권7호
  • /
  • Pages.628-632
  • /
  • 2001
  • /
  • 1976-9172(pISSN)
  • /
  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지

Generalization of the Spreading Function and Weyl Symbol for Time-Frequency Analysis of Linear Time-Varying Systems

  • Iem, Byeong-gwan (IMT-2000 System R&D Team, Telecommunication R&D Center, Samsung Electronics)
  • 발행 : 2001.12.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We propose time-frequency (TF) tools for analyzing linear time-varying (LTV) systems and nonstationary random processes. Obtained warping the narrowband Weyl symbol (WS) and spreading function (SF), the new TF tools are useful for analyzing LTV systems and random processes characterized by generalized frequency shifts, This new Weyl symbol (WS) is useful in wideband signal analysis. We also propose WS an tools for analyzing systems which produce dispersive frequency shifts on the signal. We obtain these generalized, frequency-shift covariant WS by warping conventional, narrowband WS. Using the new, generalized WS, we provide a formulation for the Weyl correspondence for linear systems with instantaneous of linear signal transformation as weighted superpositions of non-linear frequency shifts on the signal. Application examples in signal and detection demonstrate the advantages of our new results.

키워드

참고문헌

  1. Proc. IEEE ICASSP TF representation of broad band signals P. Bertrand;J. Bertrand
  2. Basic Operator Theory I. Gohberg;S. Goldberg
  3. IEEE Signal Proc. Magazine v.9 Linear and quadratic time-frequency signal representations F. Hlawatsch;G. F. Boudreaux-Bartels
  4. Tech. Rept. 0497-0003, ELE Dept., Univ. of RI. Generalizations of the Weyl symbol and the spreading function via TF warpings B. Iem;A. Papandreou-Suppappola
  5. IEEE-SP Int. Symp. on TFTS On the generalized Weyl correspondence and its application to time-frequency analysis of linear time-varying systems W. Kozek
  6. IEEE-SP Int. Symp. on TFTS Correlative TF analysis and classification of nonstationary processes W. Kozek;F. Hlawatsch;H. Kirchauer;U. Trautwein
  7. Int. Symp. on TFTS Time-frequency formulation and design of optimal detectors G. Matz;F. Hlawatsch
  8. IEEE Trans. on Signal Proc. Generalized evolutionary spectral analysis and the Weyl spectrum of nonstationary random processes G. Matz;F. Hlawatsch;W. Kozek
  9. IEEE Trans. on Signal Proc. The hyperbolic class of QTFRs, Part Ⅰ A. Papandreou;F. Hlawatsch;G. F. Boudreaux-Bartels
  10. Int. Symp. on TFTS The exponential class and generalized time-shift covariant quadratic TF representations A. Papandreou-Soppappola;G. F. Boudreaux-Bartels
  11. IEEE Trans. on Signal Proc. Optimal quadratic detection and estimation using generalized joint signal representations A. M. Sayeed;D. L. Jones
  12. IEEE. Trans. on Sig. Proc. The Weyl correspondence and TF analysis R. G. Shenoy;T. W. Parks