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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 8
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Original Articles

Integral representations of the TT-transform

C. R. Pinnegar Calgary Scientific, Inc., 208-1210 20th Avenue SE, Calgary, Alberta T2G 1M8, Canada
,
M. W. Wong Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, CanadaCorrespondence[email protected]
&
Hongmei Zhu Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
Pages 933-940 | Received 17 Mar 2006, Published online: 04 Sep 2006

References

  • Wong , MW . 1999 . An Introduction to Pseudo-Differential Operators, , 2nd , Singapore : World Scientific .
  • Stockwell , RG , Mansinha , L and Lowe , RP . 1996 . “ Localization of the complex spectrum: the S transform ” . In IEEE Transactions on Signal Processing Vol. 44 , 998 – 1001 .
  • Wong , MW and Zhu , H . “ A characterization of the Stockwell transform ” . In Modern Trends in Pseudo-Differential Operators. Operator Theory: Adv. Appl. , Basel : Birkhäuser . (to appear)
  • Cohen , L . 1995 . Time–Frequency Analysis , Englewood Cliffs, NJ : Prentice Hall .
  • Cordero , E and Gröchenig , K . 2003 . Time–frequency analysis of localization operators . Journal of Functional Analysis , 205 : 107 – 131 .
  • Cordero , E and Rodino , L . 2005 . Wick calculus: a time–frequency approach . Osaka Journal of Mathematics , 42 : 43 – 63 .
  • Cordero , E and Tabacco , A . 2004 . “ Localization operators via time–frequency analysis ” . In Advances in Pseudo-differential Operators, Operator Theory: Adv. Appl. , Vol. 155 , 131 – 147 . Basel : Birkhäuser .
  • Gröchenig , K . 2001 . Foundations of Time–Frequency Analysis , San Diego : Birkhäuser .
  • Wong , MW . 2002 . Wavelet Transforms and Localization Operators , Basel : Birkhäuser .
  • Pinnegar , CR and Mansinha , L . 2003 . “ A method of time–time analysis: the TT-transform ” . In Digital Signal Processing Vol. 13 , 588 – 603 .
  • Mallat , S . 1998 . A Wavelet Tour of Signal Processing , Boston : Academic Press .
  • Daubechies , I . 1992 . “ Ten lectures on wavelets ” . Philadelphia : SIAM .

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