Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends

Uche A.K. Chude-Okonkwo; Solomon Nunoo; Razali Ngah; Chollete Olisah Chude; Tharek Abd Rahman; Anthony A. Okafor

doi:10.1109/ICSIPA.2013.6708026

Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends

Uche A.K. Chude-Okonkwo, Solomon Nunoo, Razali Ngah, Chollete Olisah Chude, Tharek Abd Rahman, Anthony A. Okafor

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In some applications, multivariable stochastic processes that are composed of sequentially arranged independent weakly-stationary processes, may arise. Such multivariable process can be categorized as a class of non-summable processes with very complex probability density function. In this paper, we present the formal definition of such non-summable process, and provide a method of parameterizing and defining the statistical trend associated with the process. The illustration of a typical example of a multivariable non-summable process and how a bounded statistical trend can be obtained for the process is presented. The typical example is obtained from the simulation of a time-varying wideband wireless channel.

Original language	English
Title of host publication	IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications
Publisher	IEEE Computer Society
Pages	322-326
Number of pages	5
ISBN (Print)	9781479902675
DOIs	https://doi.org/10.1109/ICSIPA.2013.6708026
Publication status	Published - 2013
Externally published	Yes
Event	2013 3rd IEEE International Conference on Signal and Image Processing Applications, IEEE ICSIPA 2013 - Melaka, Malaysia Duration: 8 Oct 2013 → 10 Oct 2013

Publication series

Name	IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications

Conference

Conference	2013 3rd IEEE International Conference on Signal and Image Processing Applications, IEEE ICSIPA 2013
Country/Territory	Malaysia
City	Melaka
Period	8/10/13 → 10/10/13

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design
Computer Vision and Pattern Recognition

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10.1109/ICSIPA.2013.6708026

Cite this

Chude-Okonkwo, U. A. K., Nunoo, S., Ngah, R., Chude, C. O., Rahman, T. A., & Okafor, A. A. (2013). Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends. In IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications (pp. 322-326). Article 6708026 (IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications). IEEE Computer Society. https://doi.org/10.1109/ICSIPA.2013.6708026

Chude-Okonkwo, Uche A.K. ; Nunoo, Solomon ; Ngah, Razali et al. / Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends. IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications. IEEE Computer Society, 2013. pp. 322-326 (IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications).

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title = "Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends",

abstract = "In some applications, multivariable stochastic processes that are composed of sequentially arranged independent weakly-stationary processes, may arise. Such multivariable process can be categorized as a class of non-summable processes with very complex probability density function. In this paper, we present the formal definition of such non-summable process, and provide a method of parameterizing and defining the statistical trend associated with the process. The illustration of a typical example of a multivariable non-summable process and how a bounded statistical trend can be obtained for the process is presented. The typical example is obtained from the simulation of a time-varying wideband wireless channel.",

author = "Chude-Okonkwo, {Uche A.K.} and Solomon Nunoo and Razali Ngah and Chude, {Chollete Olisah} and Rahman, {Tharek Abd} and Okafor, {Anthony A.}",

year = "2013",

doi = "10.1109/ICSIPA.2013.6708026",

language = "English",

isbn = "9781479902675",

series = "IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications",

publisher = "IEEE Computer Society",

pages = "322--326",

booktitle = "IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications",

address = "United States",

note = "2013 3rd IEEE International Conference on Signal and Image Processing Applications, IEEE ICSIPA 2013 ; Conference date: 08-10-2013 Through 10-10-2013",

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Chude-Okonkwo, UAK, Nunoo, S, Ngah, R, Chude, CO, Rahman, TA & Okafor, AA 2013, Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends. in IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications., 6708026, IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications, IEEE Computer Society, pp. 322-326, 2013 3rd IEEE International Conference on Signal and Image Processing Applications, IEEE ICSIPA 2013, Melaka, Malaysia, 8/10/13. https://doi.org/10.1109/ICSIPA.2013.6708026

Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends. / Chude-Okonkwo, Uche A.K.; Nunoo, Solomon; Ngah, Razali et al.
IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications. IEEE Computer Society, 2013. p. 322-326 6708026 (IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In some applications, multivariable stochastic processes that are composed of sequentially arranged independent weakly-stationary processes, may arise. Such multivariable process can be categorized as a class of non-summable processes with very complex probability density function. In this paper, we present the formal definition of such non-summable process, and provide a method of parameterizing and defining the statistical trend associated with the process. The illustration of a typical example of a multivariable non-summable process and how a bounded statistical trend can be obtained for the process is presented. The typical example is obtained from the simulation of a time-varying wideband wireless channel.

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Chude-Okonkwo UAK, Nunoo S, Ngah R, Chude CO, Rahman TA, Okafor AA. Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends. In IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications. IEEE Computer Society. 2013. p. 322-326. 6708026. (IEEE ICSIPA 2013 - IEEE International Conference on Signal and Image Processing Applications). doi: 10.1109/ICSIPA.2013.6708026

Characterization and parameterization of a class of multivariable non-summable stochastic processes with bounded stochastic trends

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