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Investigation of Turbo Code Polynimials under Constraints Length Four and Deterministic Interleaver

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Last updated: 04 Jan 2025

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Abstract

Turbo coding Technique is one from very powerful error correction techniques that have made a tremendous impact on channel coding in the last few years. It had been recommended for increased capacity at higher transmission rates due to their superior performance over conventional codes. Recursive systematic convolutional (RSC) turbo code uses two polynomials in its encoding circuit which are feed-forward and feed-back polynomials. Those polynomials make great effects on performance of turbo codes in all regions. In this paper, the primitive and non-primitive polynomials will be investigated which are not clarified until now. Their effects on the performance in water-fall region and error floor regions will be elaborated. The minimum Hamming distance and their multiplicities are the criteria for comparison. Simulation results over the AWGN channel show that primitive polynomials in the Feed-back and feed-forward can achieve better performance at high SNR by improving the minimum distance (large minimum distance) which leads to decrease BER in the region of high signal to noise ratio to be used in the satellites new missions. Moreover, the results give a larger minimum distance by factor of 1.12dB compared with the CCSDS interleaver. The simulation is applied for frame length 1784, and code rate 1/2.

DOI

10.21608/mjeer.2010.66789

Authors

First Name

Alaa Eldin

Last Name

Hassan

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Affiliation

Dept. Space Science, National Authority for Remote Sensing and Space Science (NARSS), Cairo, Egypt.

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First Name

M.

Last Name

Shokair

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Affiliation

Dept. Electrical Communication, El-Minufiya University, Menouf, Egypt.

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First Name

Atef

Last Name

Abou Elazem

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Dept. Electrical Communication, El-Minufiya University, Menouf, Egypt.

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First Name

C.

Last Name

Schlegel

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Affiliation

Dept. of Computing Science University of Alberta, Edmonton, Canada

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First Name

D.

Last Name

Truhachev

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Affiliation

Dept. of Computing Science University of Alberta, Edmonton, Canada.

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Volume

20

Article Issue

1

Related Issue

9634

Issue Date

2010-01-01

Receive Date

2019-12-29

Publish Date

2010-01-01

Page Start

19

Page End

28

Print ISSN

1687-1189

Online ISSN

2682-3535

Link

https://mjeer.journals.ekb.eg/article_66789.html

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https://mjeer.journals.ekb.eg/service?article_code=66789

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8

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Original Article

Type Code

1,088

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Publication Title

Menoufia Journal of Electronic Engineering Research

Publication Link

https://mjeer.journals.ekb.eg/

MainTitle

Investigation of Turbo Code Polynimials under Constraints Length Four and Deterministic Interleaver

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Article

Created At

22 Jan 2023