Optimal biphase sequences with large linear complexity derived from sequences over Z4
New families of biphase sequences of size 2T-1 + I, r being a positive integer, are derived from families of in- terleaved maximal-length sequences over 24 of period 2(Zr - 1). These sequences have applications in code-division spread- spectrum multiuser communication systems. The families s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Electrical and Electronics Engineers Inc.
1996
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/14202/ http://irep.iium.edu.my/14202/1/Optimal_Biphase_Sequences_with_Large_Linear_Complexity_Derived_from_Sequences_over_Z4.pdf |
| _version_ | 1848777665112178688 |
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| author | Udaya, Paramapalli Siddiqi, Mohammad Umar |
| author_facet | Udaya, Paramapalli Siddiqi, Mohammad Umar |
| author_sort | Udaya, Paramapalli |
| building | IIUM Repository |
| collection | Online Access |
| description | New families of biphase sequences of size 2T-1 + I,
r being a positive integer, are derived from families of in-
terleaved maximal-length sequences over 24 of period 2(Zr -
1). These sequences have applications in code-division spread-
spectrum multiuser communication systems. The families satisfy
Sidelnikov bound with equality on Omax, which denotes the
maximum magnitude of the periodic crosscorreslation and out-of-
phase antocorrelatiou values. One of the families satisfies Welch
bound on Om,, with equality. The linear complexity and the
period of all sequences are equal to T(T + 3)/2 and 2(2' - l),
respectively, with an exception of the single m-sequence which
has linear complexity r and period 2' - 1. Sequence imbalance
and correlation distributions are also computed. |
| first_indexed | 2025-11-14T14:49:35Z |
| format | Article |
| id | iium-14202 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:49:35Z |
| publishDate | 1996 |
| publisher | Institute of Electrical and Electronics Engineers Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-142022013-07-22T02:51:28Z http://irep.iium.edu.my/14202/ Optimal biphase sequences with large linear complexity derived from sequences over Z4 Udaya, Paramapalli Siddiqi, Mohammad Umar TK5101 Telecommunication. Including telegraphy, radio, radar, television New families of biphase sequences of size 2T-1 + I, r being a positive integer, are derived from families of in- terleaved maximal-length sequences over 24 of period 2(Zr - 1). These sequences have applications in code-division spread- spectrum multiuser communication systems. The families satisfy Sidelnikov bound with equality on Omax, which denotes the maximum magnitude of the periodic crosscorreslation and out-of- phase antocorrelatiou values. One of the families satisfies Welch bound on Om,, with equality. The linear complexity and the period of all sequences are equal to T(T + 3)/2 and 2(2' - l), respectively, with an exception of the single m-sequence which has linear complexity r and period 2' - 1. Sequence imbalance and correlation distributions are also computed. Institute of Electrical and Electronics Engineers Inc. 1996 Article PeerReviewed application/pdf en http://irep.iium.edu.my/14202/1/Optimal_Biphase_Sequences_with_Large_Linear_Complexity_Derived_from_Sequences_over_Z4.pdf Udaya, Paramapalli and Siddiqi, Mohammad Umar (1996) Optimal biphase sequences with large linear complexity derived from sequences over Z4. IEEE Transactions on Information Theory, 42 (1). pp. 206-216. ISSN 0018-9448 http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=481790&sortType%3Dasc_p_Sequence%26filter%3DAND%28p_IS_Number%3A10301%29%26pageNumber%3D2 10.1109/18.481790 |
| spellingShingle | TK5101 Telecommunication. Including telegraphy, radio, radar, television Udaya, Paramapalli Siddiqi, Mohammad Umar Optimal biphase sequences with large linear complexity derived from sequences over Z4 |
| title | Optimal biphase sequences with large linear complexity derived from sequences over Z4 |
| title_full | Optimal biphase sequences with large linear complexity derived from sequences over Z4 |
| title_fullStr | Optimal biphase sequences with large linear complexity derived from sequences over Z4 |
| title_full_unstemmed | Optimal biphase sequences with large linear complexity derived from sequences over Z4 |
| title_short | Optimal biphase sequences with large linear complexity derived from sequences over Z4 |
| title_sort | optimal biphase sequences with large linear complexity derived from sequences over z4 |
| topic | TK5101 Telecommunication. Including telegraphy, radio, radar, television |
| url | http://irep.iium.edu.my/14202/ http://irep.iium.edu.my/14202/ http://irep.iium.edu.my/14202/ http://irep.iium.edu.my/14202/1/Optimal_Biphase_Sequences_with_Large_Linear_Complexity_Derived_from_Sequences_over_Z4.pdf |