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...

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Main Authors: Udaya, Paramapalli, Siddiqi, Mohammad Umar
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers Inc. 1996
Subjects:
Online Access: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
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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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic TK5101 Telecommunication. Including telegraphy, radio, radar, television
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
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.
format Article
author Udaya, Paramapalli
Siddiqi, Mohammad Umar
author_facet Udaya, Paramapalli
Siddiqi, Mohammad Umar
author_sort Udaya, Paramapalli
title 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_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_sort optimal biphase sequences with large linear complexity derived from sequences over z4
publisher Institute of Electrical and Electronics Engineers Inc.
publishDate 1996
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
first_indexed 2023-09-18T20:23:23Z
last_indexed 2023-09-18T20:23:23Z
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