IEICE TRANSACTIONS on Communications
Reconstruction of Feedback Polynomial of Synchronous Scrambler Based on Triple Correlation Characteristics of M-Sequences
Summary :
For the reconstruction of the feedback polynomial of a synchronous scrambler placed after a convolutional encoder, the existing algorithms require the prior knowledge of a dual word of the convolutional code. To address the case of a dual word being unknown, a new algorithm for the reconstruction of the feedback polynomial based on triple correlation characteristic of an m-sequence is proposed. First, the scrambled convolutional code sequence is divided into bit blocks; the product of the scrambled bit blocks with a dual word is proven to be an m-sequence with the same period as the synchronous scrambler. Second, based on the triple correlation characteristic of the generated m-sequence, a dual word is estimated; the generator polynomial of the generated m-sequence is computed by two locations of the triple correlation peaks. Finally, the feedback polynomial is reconstructed using the generator polynomial of the generated m-sequence. As the received sequence may contain bit errors, a method for detecting triple correlation peaks based on the constant false-alarm criterion is elaborated. Experimental results show that the proposed algorithm is effective. Ulike the existing algorithms available, there is no need to know a dual word a priori and the reconstruction result is more accurate. Moreover, the proposed algorithm is robust to bit errors.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E101-B No.7 pp.1723-1732
- Publication Date
- 2018/07/01
- Publicized
- 2018/01/16
- Online ISSN
- 1745-1345
- DOI
- 10.1587/transcom.2017EBP3173
- Type of Manuscript
- PAPER
- Category
- Wireless Communication Technologies
Authors
Shu nan HAN
National University of Defense Technology
Min ZHANG
National University of Defense Technology
Xin hao LI
National University of Defense Technology
Keyword
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Shu nan HAN, Min ZHANG, Xin hao LI, "Reconstruction of Feedback Polynomial of Synchronous Scrambler Based on Triple Correlation Characteristics of M-Sequences" in IEICE TRANSACTIONS on Communications,
vol. E101-B, no. 7, pp. 1723-1732, July 2018, doi: 10.1587/transcom.2017EBP3173.
Abstract: For the reconstruction of the feedback polynomial of a synchronous scrambler placed after a convolutional encoder, the existing algorithms require the prior knowledge of a dual word of the convolutional code. To address the case of a dual word being unknown, a new algorithm for the reconstruction of the feedback polynomial based on triple correlation characteristic of an m-sequence is proposed. First, the scrambled convolutional code sequence is divided into bit blocks; the product of the scrambled bit blocks with a dual word is proven to be an m-sequence with the same period as the synchronous scrambler. Second, based on the triple correlation characteristic of the generated m-sequence, a dual word is estimated; the generator polynomial of the generated m-sequence is computed by two locations of the triple correlation peaks. Finally, the feedback polynomial is reconstructed using the generator polynomial of the generated m-sequence. As the received sequence may contain bit errors, a method for detecting triple correlation peaks based on the constant false-alarm criterion is elaborated. Experimental results show that the proposed algorithm is effective. Ulike the existing algorithms available, there is no need to know a dual word a priori and the reconstruction result is more accurate. Moreover, the proposed algorithm is robust to bit errors.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.2017EBP3173/_p
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@ARTICLE{e101-b_7_1723,
author={Shu nan HAN, Min ZHANG, Xin hao LI, },
journal={IEICE TRANSACTIONS on Communications},
title={Reconstruction of Feedback Polynomial of Synchronous Scrambler Based on Triple Correlation Characteristics of M-Sequences},
year={2018},
volume={E101-B},
number={7},
pages={1723-1732},
abstract={For the reconstruction of the feedback polynomial of a synchronous scrambler placed after a convolutional encoder, the existing algorithms require the prior knowledge of a dual word of the convolutional code. To address the case of a dual word being unknown, a new algorithm for the reconstruction of the feedback polynomial based on triple correlation characteristic of an m-sequence is proposed. First, the scrambled convolutional code sequence is divided into bit blocks; the product of the scrambled bit blocks with a dual word is proven to be an m-sequence with the same period as the synchronous scrambler. Second, based on the triple correlation characteristic of the generated m-sequence, a dual word is estimated; the generator polynomial of the generated m-sequence is computed by two locations of the triple correlation peaks. Finally, the feedback polynomial is reconstructed using the generator polynomial of the generated m-sequence. As the received sequence may contain bit errors, a method for detecting triple correlation peaks based on the constant false-alarm criterion is elaborated. Experimental results show that the proposed algorithm is effective. Ulike the existing algorithms available, there is no need to know a dual word a priori and the reconstruction result is more accurate. Moreover, the proposed algorithm is robust to bit errors.},
keywords={},
doi={10.1587/transcom.2017EBP3173},
ISSN={1745-1345},
month={July},}
Copy
TY - JOUR
TI - Reconstruction of Feedback Polynomial of Synchronous Scrambler Based on Triple Correlation Characteristics of M-Sequences
T2 - IEICE TRANSACTIONS on Communications
SP - 1723
EP - 1732
AU - Shu nan HAN
AU - Min ZHANG
AU - Xin hao LI
PY - 2018
DO - 10.1587/transcom.2017EBP3173
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E101-B
IS - 7
JA - IEICE TRANSACTIONS on Communications
Y1 - July 2018
AB - For the reconstruction of the feedback polynomial of a synchronous scrambler placed after a convolutional encoder, the existing algorithms require the prior knowledge of a dual word of the convolutional code. To address the case of a dual word being unknown, a new algorithm for the reconstruction of the feedback polynomial based on triple correlation characteristic of an m-sequence is proposed. First, the scrambled convolutional code sequence is divided into bit blocks; the product of the scrambled bit blocks with a dual word is proven to be an m-sequence with the same period as the synchronous scrambler. Second, based on the triple correlation characteristic of the generated m-sequence, a dual word is estimated; the generator polynomial of the generated m-sequence is computed by two locations of the triple correlation peaks. Finally, the feedback polynomial is reconstructed using the generator polynomial of the generated m-sequence. As the received sequence may contain bit errors, a method for detecting triple correlation peaks based on the constant false-alarm criterion is elaborated. Experimental results show that the proposed algorithm is effective. Ulike the existing algorithms available, there is no need to know a dual word a priori and the reconstruction result is more accurate. Moreover, the proposed algorithm is robust to bit errors.
ER -
English
