Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra

Volume: 2 Number: 3 December 1, 2014
  • Fariba Tattahi
  • Mohsen Alimohammady
EN TR

Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra

Abstract

This paper describes the moderateness of Short-time Fourier transform via the Caputo fractional derivative. Moreover, weconsider some properties of the generalized STFT in extended Colmbeau algebra

Keywords

References

  1. J. F. Colombeau, New generalized functions and Multiplication of distributions, North-Holland, Amsterdam, 1984.
  2. J. F. Colombeau and A. Y. L. Roux, Multiplications of distributions in elasticity and hydrodynamics, J. Math. Phys., 29 (1988), 315-319.
  3. J. F. Colombeau, Elementary Introduction to New Generalized Functions, North-Holland Math. Studies Vol. 113, North-Holland, Amsterdam 1985.
  4. J. ˘Sahbegovi ´c, Short-Time Fourier Transform and Modulation Spaces in Algebras of Generalized Functions , University of Vienna, (2009).
  5. D. Rajter- ´Ciri ´c, M. Stojanovi ´c , Convolution type derivatives and transforms of Colombeau generalized stochastic processes, Integral Transforms and Special Functions, 22 (2011), 319-326.
  6. M. Oberguggenberger, Multiplication of Distributions and Applications to Partial Differential Equations, Pitman Research Notes in Mathematics 259. Longman Scientific and Technical, 1992.
  7. K. Grochenig.”Foundations of Time-Frequency Analysis”, Birkhauser, Boston, 2001.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Fariba Tattahi This is me

Mohsen Alimohammady This is me

Publication Date

December 1, 2014

Submission Date

March 13, 2015

Acceptance Date

-

Published in Issue

Year 2014 Volume: 2 Number: 3

APA
Tattahi, F., & Alimohammady, M. (2014). Regularization Short-time Fourier transform in extended. New Trends in Mathematical Sciences, 2(3), 233-241. https://izlik.org/JA45LU22PM
AMA
1.Tattahi F, Alimohammady M. Regularization Short-time Fourier transform in extended. New Trends in Mathematical Sciences. 2014;2(3):233-241. https://izlik.org/JA45LU22PM
Chicago
Tattahi, Fariba, and Mohsen Alimohammady. 2014. “Regularization Short-Time Fourier Transform in Extended”. New Trends in Mathematical Sciences 2 (3): 233-41. https://izlik.org/JA45LU22PM.
EndNote
Tattahi F, Alimohammady M (December 1, 2014) Regularization Short-time Fourier transform in extended. New Trends in Mathematical Sciences 2 3 233–241.
IEEE
[1]F. Tattahi and M. Alimohammady, “Regularization Short-time Fourier transform in extended”, New Trends in Mathematical Sciences, vol. 2, no. 3, pp. 233–241, Dec. 2014, [Online]. Available: https://izlik.org/JA45LU22PM
ISNAD
Tattahi, Fariba - Alimohammady, Mohsen. “Regularization Short-Time Fourier Transform in Extended”. New Trends in Mathematical Sciences 2/3 (December 1, 2014): 233-241. https://izlik.org/JA45LU22PM.
JAMA
1.Tattahi F, Alimohammady M. Regularization Short-time Fourier transform in extended. New Trends in Mathematical Sciences. 2014;2:233–241.
MLA
Tattahi, Fariba, and Mohsen Alimohammady. “Regularization Short-Time Fourier Transform in Extended”. New Trends in Mathematical Sciences, vol. 2, no. 3, Dec. 2014, pp. 233-41, https://izlik.org/JA45LU22PM.
Vancouver
1.Fariba Tattahi, Mohsen Alimohammady. Regularization Short-time Fourier transform in extended. New Trends in Mathematical Sciences [Internet]. 2014 Dec. 1;2(3):233-41. Available from: https://izlik.org/JA45LU22PM