Publication Cover
Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 2
96
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

System identification based on distribution theory and wavelet transform

, &
Pages 165-195 | Received 01 Feb 2004, Published online: 15 Aug 2006

References

  • Ashino R Mandai T Morimoto A Applications of wavelet transform to system identification Advances in Pseudo-differential Operators Birkhäuser, Basel (to appear)
  • Coifman R Donoho D 1995 Translation invariant de-noising Lecture Notes in Statistics 103 pp. 125–150 New York NY Springer-Verlag
  • Daubechies I 1992 Ten lectures on wavelets Regional Conference Series in Applied Math. Philadelphia PA SIAM
  • Friedlander FG 1982 Introduction to the Theory of Distributions Cambridge MA Cambridge University Press
  • Gröchenig K 2001 Foundations of Time-Frequency Analysis Cambridge MA Birkhäuser Boston
  • Hörmander , L . 1960 . Estimates for translation invariant operators in Lp spaces . Acta Mathematica , 104 : 93 – 140 .
  • Hörmander L 1990 The Analysis of Linear Partial Differential Operators I 2nd Edn. Berlin Springer-Verlag
  • Igari S 1998 Real analysis – with an introduction to wavelet theory Translations of Mathematical Monographs 177 Providence RI AMS
  • Lax PD 2002 Functional Analysis New York NY John Wiley and Sons
  • Ljung L 1987 System Identification: Theory for the User Upper Saddle River NJ Prentice Hall PTR
  • Mallat , S . 1989 . A theory for multiresolution signal decomposition: the wavelet representation . IEEE Pattern Anal. and Machine Intell. , 11 ( 7 ) : 674 – 693 .
  • Mallat S 1999 A Wavelet Tour of Signal Processing 2nd Edn. San Diego CA Academic Press
  • Nason G Silverman B 1995 Stationary wavelet transform and some statistical applications Lecture Notes in Statistics 103 pp. 281–299 New York NY Springer-Verlag
  • Pesquet , J , Krim , H and Carfatan , H . 1996 . Time-invariant orthonormal wavelet representations . IEEE Transactions on Signal Processing , 44 ( 8 ) : 1964 – 1970 .
  • Rudin W 1966 Real and Complex Analysis 2nd Edn. New York NY McGraw-Hill
  • Rudin W 1973 Functional Analysis New York NY McGraw-Hill
  • Schwartz L 1966 Théeorie des Distributions Nouvelle edition Paris Hermann
  • Stein EM 1970 Singular Integrals and Differentiability Properties of Functions Princeton NJ Princeton University Press
  • Stein EM Weiss G 1971 Introduction to Fourier Analysis on Euclidean Spaces Princeton NJ Princeton University Press
  • Treves F 1967 Topological Vector Spaces, Distributions and Kernels New York NY Academic Press
  • Wong MW 2002 Wavelet transforms and localization operators Operator Theory: Advances and Applications 136 Birkhäuser, Basel
  • Yosida K 1971 Functional Analysis 3rd Edn. Berlin Springer-Verlag
  • Zemanian AH 1965 Distribution Theory and Transform Analysis New York NY McGraw-Hill

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.