Design of Long Period Pseudo-Random Sequences from the Addition of <inline-formula><graphic file="1687-1499-2004-802851-i1.gif"/></inline-formula>-Sequences over <inline-formula><graphic file="1687-1499-2004-802851-i2.gif"/></inline-formula>
<p/> <p>Pseudo-random sequence with good correlation property and large linear span is widely used in code division multiple access (CDMA) communication systems and cryptology for reliable and secure information transmission. In this paper, sequences with long period, large complexity, b...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2004-01-01
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| Series: | EURASIP Journal on Wireless Communications and Networking |
| Subjects: | |
| Online Access: | http://jwcn.eurasipjournals.com/content/2004/802851 |
| _version_ | 1818929093244092416 |
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| author | Ren Jian |
| author_facet | Ren Jian |
| author_sort | Ren Jian |
| collection | DOAJ |
| description | <p/> <p>Pseudo-random sequence with good correlation property and large linear span is widely used in code division multiple access (CDMA) communication systems and cryptology for reliable and secure information transmission. In this paper, sequences with long period, large complexity, balance statistics, and low cross-correlation property are constructed from the addition of <inline-formula><graphic file="1687-1499-2004-802851-i3.gif"/></inline-formula>-sequences with pairwise-prime linear spans (AMPLS). Using <inline-formula><graphic file="1687-1499-2004-802851-i4.gif"/></inline-formula>-sequences as building blocks, the proposed method proved to be an efficient and flexible approach to construct long period pseudo-random sequences with desirable properties from short period sequences. Applying the proposed method to <inline-formula><graphic file="1687-1499-2004-802851-i5.gif"/></inline-formula>, a signal set <inline-formula><graphic file="1687-1499-2004-802851-i6.gif"/></inline-formula> is constructed.</p> |
| first_indexed | 2024-12-20T03:39:19Z |
| format | Article |
| id | doaj.art-8d96c91d4d3047f695fbf3915872fe60 |
| institution | Directory Open Access Journal |
| issn | 1687-1472 1687-1499 |
| language | English |
| last_indexed | 2024-12-20T03:39:19Z |
| publishDate | 2004-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Wireless Communications and Networking |
| spelling | doaj.art-8d96c91d4d3047f695fbf3915872fe602022-12-21T19:54:47ZengSpringerOpenEURASIP Journal on Wireless Communications and Networking1687-14721687-14992004-01-0120041802851Design of Long Period Pseudo-Random Sequences from the Addition of <inline-formula><graphic file="1687-1499-2004-802851-i1.gif"/></inline-formula>-Sequences over <inline-formula><graphic file="1687-1499-2004-802851-i2.gif"/></inline-formula>Ren Jian<p/> <p>Pseudo-random sequence with good correlation property and large linear span is widely used in code division multiple access (CDMA) communication systems and cryptology for reliable and secure information transmission. In this paper, sequences with long period, large complexity, balance statistics, and low cross-correlation property are constructed from the addition of <inline-formula><graphic file="1687-1499-2004-802851-i3.gif"/></inline-formula>-sequences with pairwise-prime linear spans (AMPLS). Using <inline-formula><graphic file="1687-1499-2004-802851-i4.gif"/></inline-formula>-sequences as building blocks, the proposed method proved to be an efficient and flexible approach to construct long period pseudo-random sequences with desirable properties from short period sequences. Applying the proposed method to <inline-formula><graphic file="1687-1499-2004-802851-i5.gif"/></inline-formula>, a signal set <inline-formula><graphic file="1687-1499-2004-802851-i6.gif"/></inline-formula> is constructed.</p>http://jwcn.eurasipjournals.com/content/2004/802851pseudo-random sequenceslinear span/complexitycross/autocorrelationbalance |
| spellingShingle | Ren Jian Design of Long Period Pseudo-Random Sequences from the Addition of <inline-formula><graphic file="1687-1499-2004-802851-i1.gif"/></inline-formula>-Sequences over <inline-formula><graphic file="1687-1499-2004-802851-i2.gif"/></inline-formula> EURASIP Journal on Wireless Communications and Networking pseudo-random sequences linear span/complexity cross/autocorrelation balance |
| title | Design of Long Period Pseudo-Random Sequences from the Addition of <inline-formula><graphic file="1687-1499-2004-802851-i1.gif"/></inline-formula>-Sequences over <inline-formula><graphic file="1687-1499-2004-802851-i2.gif"/></inline-formula> |
| title_full | Design of Long Period Pseudo-Random Sequences from the Addition of <inline-formula><graphic file="1687-1499-2004-802851-i1.gif"/></inline-formula>-Sequences over <inline-formula><graphic file="1687-1499-2004-802851-i2.gif"/></inline-formula> |
| title_fullStr | Design of Long Period Pseudo-Random Sequences from the Addition of <inline-formula><graphic file="1687-1499-2004-802851-i1.gif"/></inline-formula>-Sequences over <inline-formula><graphic file="1687-1499-2004-802851-i2.gif"/></inline-formula> |
| title_full_unstemmed | Design of Long Period Pseudo-Random Sequences from the Addition of <inline-formula><graphic file="1687-1499-2004-802851-i1.gif"/></inline-formula>-Sequences over <inline-formula><graphic file="1687-1499-2004-802851-i2.gif"/></inline-formula> |
| title_short | Design of Long Period Pseudo-Random Sequences from the Addition of <inline-formula><graphic file="1687-1499-2004-802851-i1.gif"/></inline-formula>-Sequences over <inline-formula><graphic file="1687-1499-2004-802851-i2.gif"/></inline-formula> |
| title_sort | design of long period pseudo random sequences from the addition of inline formula graphic file 1687 1499 2004 802851 i1 gif inline formula sequences over inline formula graphic file 1687 1499 2004 802851 i2 gif inline formula |
| topic | pseudo-random sequences linear span/complexity cross/autocorrelation balance |
| url | http://jwcn.eurasipjournals.com/content/2004/802851 |
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