A Stochastic Theory of Wavelets

Milovanović, Miloš; Tomić, Bojan

2019

TINKOS_2019.pdf (1.421Mb)

Authors

Milovanović, Miloš
Tomić, Bojan

Conference object (Published version)

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Abstract

The term wavelet implies a function generating base for decomposition of the finite energy signals both in spatial and in frequency domain concurrently. Construction of wavelets that have compact support and arbitrary high regularity was ultimately done by Ingrid Daubechies in 1988. Detailed subspaces of the multiresolution analyses are regarded to be the age eigenstates wandering in terms of the evolution. Future expansion of this topic would be useful.

Keywords:

stochastic processes / time operator / multiresolution / real and p-adic analysis

Source:
The Seventh Conference on Information Theory and Complex Systems TINKOS 2019, 2019, 8-9

Publisher:

Mathematical Institute of the Serbian Academy of Sciences and Arts
Institute of Physics Belgrade

Funding / projects:

TY  - CONF
AU  - Milovanović, Miloš
AU  - Tomić, Bojan
PY  - 2019
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1708
AB  - The term wavelet implies a function generating base for decomposition of the finite energy signals both in spatial and in frequency domain concurrently. Construction of wavelets that have compact support and arbitrary high regularity was ultimately done by Ingrid Daubechies in 1988. Detailed subspaces of the multiresolution analyses are regarded to be the age eigenstates wandering in terms of the evolution. Future expansion of this topic would be useful.
PB  - Mathematical Institute of the Serbian Academy of Sciences and Arts
PB  - Institute of Physics Belgrade
C3  - The Seventh Conference on Information Theory and Complex Systems TINKOS 2019
T1  - A Stochastic Theory of Wavelets
EP  - 9
SP  - 8
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_1708
ER  -

@conference{
author = "Milovanović, Miloš and Tomić, Bojan",
year = "2019",
abstract = "The term wavelet implies a function generating base for decomposition of the finite energy signals both in spatial and in frequency domain concurrently. Construction of wavelets that have compact support and arbitrary high regularity was ultimately done by Ingrid Daubechies in 1988. Detailed subspaces of the multiresolution analyses are regarded to be the age eigenstates wandering in terms of the evolution. Future expansion of this topic would be useful.",
publisher = "Mathematical Institute of the Serbian Academy of Sciences and Arts, Institute of Physics Belgrade",
journal = "The Seventh Conference on Information Theory and Complex Systems TINKOS 2019",
title = "A Stochastic Theory of Wavelets",
pages = "9-8",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_1708"
}

Milovanović, M.,& Tomić, B.. (2019). A Stochastic Theory of Wavelets. in The Seventh Conference on Information Theory and Complex Systems TINKOS 2019
Mathematical Institute of the Serbian Academy of Sciences and Arts., 8-9.
https://hdl.handle.net/21.15107/rcub_rimsi_1708

Milovanović M, Tomić B. A Stochastic Theory of Wavelets. in The Seventh Conference on Information Theory and Complex Systems TINKOS 2019. 2019;:8-9.
https://hdl.handle.net/21.15107/rcub_rimsi_1708 .

Milovanović, Miloš, Tomić, Bojan, "A Stochastic Theory of Wavelets" in The Seventh Conference on Information Theory and Complex Systems TINKOS 2019 (2019):8-9,
https://hdl.handle.net/21.15107/rcub_rimsi_1708 .