Algorithm for implementing 32-bits represented Bernoulli map using an 8-bits microcontroller

Ricardo F. Martinez-Gonzalez; J. Alejandro Diaz-Mendez; Ruben Vazquez-Medina

doi:10.1109/IESummit.2016.7459773

Algorithm for implementing 32-bits represented Bernoulli map using an 8-bits microcontroller

Ricardo F. Martinez-Gonzalez, J. Alejandro Diaz-Mendez, Ruben Vazquez-Medina

Centro de Investigación en Ciencia Aplicada y Tecnología Avanzada (CICATA), Unidad Querétaro

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

1 Scopus citations

Abstract

The current work proposes an algorithm for implementing a 32-bits chaotic map; which is implemented in an 8-bits microcontroller. For the algorithm, many operations are modified. The operations consist on multiplication, accommodation, addition, and shifting; the modifications are needed because the embedded operations were originally designed for 8-bit numbers. Once the microcontroller algorithm is described, it is translated for its Matlab implementation. Matlab is used for validating the microcontroller code. Using Matlab code, several random sequences are generated and stored in a 'txt' file; a statistical testing suite was applied to them, and validating the proposed algorithm.

Original language	English
Title of host publication	2016 IEEE International Engineering Summit, IE-Summit 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509024582
DOIs	https://doi.org/10.1109/IESummit.2016.7459773
State	Published - 26 Apr 2016
Event	IEEE International Engineering Summit, IE-Summit 2016 - Boca del Rio, Veracruz, Mexico Duration: 2 Mar 2016 → 5 Mar 2016

Publication series

Name	2016 IEEE International Engineering Summit, IE-Summit 2016

Conference

Conference	IEEE International Engineering Summit, IE-Summit 2016
Country/Territory	Mexico
City	Boca del Rio, Veracruz
Period	2/03/16 → 5/03/16

Keywords

Pseudo-Random Number Generator
Tent Map
VHDL Implementation

Access to Document

10.1109/IESummit.2016.7459773

Cite this

Martinez-Gonzalez, R. F., Diaz-Mendez, J. A., & Vazquez-Medina, R. (2016). Algorithm for implementing 32-bits represented Bernoulli map using an 8-bits microcontroller. In 2016 IEEE International Engineering Summit, IE-Summit 2016 Article 7459773 (2016 IEEE International Engineering Summit, IE-Summit 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IESummit.2016.7459773

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abstract = "The current work proposes an algorithm for implementing a 32-bits chaotic map; which is implemented in an 8-bits microcontroller. For the algorithm, many operations are modified. The operations consist on multiplication, accommodation, addition, and shifting; the modifications are needed because the embedded operations were originally designed for 8-bit numbers. Once the microcontroller algorithm is described, it is translated for its Matlab implementation. Matlab is used for validating the microcontroller code. Using Matlab code, several random sequences are generated and stored in a 'txt' file; a statistical testing suite was applied to them, and validating the proposed algorithm.",

keywords = "Pseudo-Random Number Generator, Tent Map, VHDL Implementation",

author = "Martinez-Gonzalez, {Ricardo F.} and Diaz-Mendez, {J. Alejandro} and Ruben Vazquez-Medina",

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Martinez-Gonzalez, RF, Diaz-Mendez, JA & Vazquez-Medina, R 2016, Algorithm for implementing 32-bits represented Bernoulli map using an 8-bits microcontroller. in 2016 IEEE International Engineering Summit, IE-Summit 2016., 7459773, 2016 IEEE International Engineering Summit, IE-Summit 2016, Institute of Electrical and Electronics Engineers Inc., IEEE International Engineering Summit, IE-Summit 2016, Boca del Rio, Veracruz, Mexico, 2/03/16. https://doi.org/10.1109/IESummit.2016.7459773

Algorithm for implementing 32-bits represented Bernoulli map using an 8-bits microcontroller. / Martinez-Gonzalez, Ricardo F.; Diaz-Mendez, J. Alejandro; Vazquez-Medina, Ruben.
2016 IEEE International Engineering Summit, IE-Summit 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7459773 (2016 IEEE International Engineering Summit, IE-Summit 2016).

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

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N2 - The current work proposes an algorithm for implementing a 32-bits chaotic map; which is implemented in an 8-bits microcontroller. For the algorithm, many operations are modified. The operations consist on multiplication, accommodation, addition, and shifting; the modifications are needed because the embedded operations were originally designed for 8-bit numbers. Once the microcontroller algorithm is described, it is translated for its Matlab implementation. Matlab is used for validating the microcontroller code. Using Matlab code, several random sequences are generated and stored in a 'txt' file; a statistical testing suite was applied to them, and validating the proposed algorithm.

AB - The current work proposes an algorithm for implementing a 32-bits chaotic map; which is implemented in an 8-bits microcontroller. For the algorithm, many operations are modified. The operations consist on multiplication, accommodation, addition, and shifting; the modifications are needed because the embedded operations were originally designed for 8-bit numbers. Once the microcontroller algorithm is described, it is translated for its Matlab implementation. Matlab is used for validating the microcontroller code. Using Matlab code, several random sequences are generated and stored in a 'txt' file; a statistical testing suite was applied to them, and validating the proposed algorithm.

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M3 - Contribución a la conferencia

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Martinez-Gonzalez RF, Diaz-Mendez JA, Vazquez-Medina R. Algorithm for implementing 32-bits represented Bernoulli map using an 8-bits microcontroller. In 2016 IEEE International Engineering Summit, IE-Summit 2016. Institute of Electrical and Electronics Engineers Inc. 2016. 7459773. (2016 IEEE International Engineering Summit, IE-Summit 2016). doi: 10.1109/IESummit.2016.7459773

Algorithm for implementing 32-bits represented Bernoulli map using an 8-bits microcontroller

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