A Derivation of the Phase Difference between n-Tuples of an M-Sequence by Arithmetic a Finite Field
Summary :
This paper presents a new method to derive the phase difference between n-tuples of an m-sequence over GF(p) of period pn-1. For the binary m-sequence of the characteristic polynomial f(x)=xn+xd+1 with d=1,2c or n-2c, the explicit formulas of the phase difference from the initial n-tuple are efficiently derived by our method for specific n-tuples such as that consisting of all 1's and that cosisting of one 1 and n-1 0's, although the previously known formula exists only for that consisting of all 1's.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E76-A No.10 pp.1874-1876
- Publication Date
- 1993/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Information Theory and Coding Theory
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Tsutomu MORIUCHI, Kyoki IMAMURA, "A Derivation of the Phase Difference between n-Tuples of an M-Sequence by Arithmetic a Finite Field" in IEICE TRANSACTIONS on Fundamentals,
vol. E76-A, no. 10, pp. 1874-1876, October 1993, doi: .
Abstract: This paper presents a new method to derive the phase difference between n-tuples of an m-sequence over GF(p) of period pn-1. For the binary m-sequence of the characteristic polynomial f(x)=xn+xd+1 with d=1,2c or n-2c, the explicit formulas of the phase difference from the initial n-tuple are efficiently derived by our method for specific n-tuples such as that consisting of all 1's and that cosisting of one 1 and n-1 0's, although the previously known formula exists only for that consisting of all 1's.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e76-a_10_1874/_p
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@ARTICLE{e76-a_10_1874,
author={Tsutomu MORIUCHI, Kyoki IMAMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Derivation of the Phase Difference between n-Tuples of an M-Sequence by Arithmetic a Finite Field},
year={1993},
volume={E76-A},
number={10},
pages={1874-1876},
abstract={This paper presents a new method to derive the phase difference between n-tuples of an m-sequence over GF(p) of period pn-1. For the binary m-sequence of the characteristic polynomial f(x)=xn+xd+1 with d=1,2c or n-2c, the explicit formulas of the phase difference from the initial n-tuple are efficiently derived by our method for specific n-tuples such as that consisting of all 1's and that cosisting of one 1 and n-1 0's, although the previously known formula exists only for that consisting of all 1's.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - A Derivation of the Phase Difference between n-Tuples of an M-Sequence by Arithmetic a Finite Field
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1874
EP - 1876
AU - Tsutomu MORIUCHI
AU - Kyoki IMAMURA
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E76-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1993
AB - This paper presents a new method to derive the phase difference between n-tuples of an m-sequence over GF(p) of period pn-1. For the binary m-sequence of the characteristic polynomial f(x)=xn+xd+1 with d=1,2c or n-2c, the explicit formulas of the phase difference from the initial n-tuple are efficiently derived by our method for specific n-tuples such as that consisting of all 1's and that cosisting of one 1 and n-1 0's, although the previously known formula exists only for that consisting of all 1's.
ER -
English
