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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
- J. F. Colombeau, New generalized functions and Multiplication of distributions, North-Holland, Amsterdam, 1984.
- J. F. Colombeau and A. Y. L. Roux, Multiplications of distributions in elasticity and hydrodynamics, J. Math. Phys., 29 (1988), 315-319.
- J. F. Colombeau, Elementary Introduction to New Generalized Functions, North-Holland Math. Studies Vol. 113, North-Holland, Amsterdam 1985.
- J. ˘Sahbegovi ´c, Short-Time Fourier Transform and Modulation Spaces in Algebras of Generalized Functions , University of Vienna, (2009).
- 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.
- M. Oberguggenberger, Multiplication of Distributions and Applications to Partial Differential Equations, Pitman Research Notes in Mathematics 259. Longman Scientific and Technical, 1992.
- K. Grochenig.”Foundations of Time-Frequency Analysis”, Birkhauser, Boston, 2001.
Details
Primary Language
Turkish
Subjects
-
Journal Section
-
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