Balanced nonbinary sequences with good periodic correlation properties obtained from modified Kumar-Moreno sequences
Kumar and Moreno (see ibid., vol.37, no.3, p.603, 1991) presented a new family of nonbinary sequences which has not only good periodic correlation properties but also the largest family size. First, the unbalanced properties for Kumar-Moreno sequences are pointed out. Second, a new family of balance...
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Veröffentlicht in: | IEEE transactions on information theory 1995-03, Vol.41 (2), p.572-576 |
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description | Kumar and Moreno (see ibid., vol.37, no.3, p.603, 1991) presented a new family of nonbinary sequences which has not only good periodic correlation properties but also the largest family size. First, the unbalanced properties for Kumar-Moreno sequences are pointed out. Second, a new family of balanced nonbinary sequences obtained from modified Kumar-Moreno sequences is proposed, and it is shown that the new family has the same optimal periodic nontrivial correlation as the family of Kumar-Moreno sequences and consists of the balanced nonbinary sequences. It is also shown that the cost of making sequences balanced is a decrease of the family size in addition to the condition that n is an even number. In particular, let the length of Kumar-Moreno sequences and the new sequences be the same and equal to p/sup n/-1 with n even, then the family size of the new sequences is p/sup n/2/ which is much smaller than p/sup n/, that of Kumar-Moreno sequences.< > |
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First, the unbalanced properties for Kumar-Moreno sequences are pointed out. Second, a new family of balanced nonbinary sequences obtained from modified Kumar-Moreno sequences is proposed, and it is shown that the new family has the same optimal periodic nontrivial correlation as the family of Kumar-Moreno sequences and consists of the balanced nonbinary sequences. It is also shown that the cost of making sequences balanced is a decrease of the family size in addition to the condition that n is an even number. In particular, let the length of Kumar-Moreno sequences and the new sequences be the same and equal to p/sup n/-1 with n even, then the family size of the new sequences is p/sup n/2/ which is much smaller than p/sup n/, that of Kumar-Moreno sequences.< ></description><identifier>ISSN: 0018-9448</identifier><identifier>EISSN: 1557-9654</identifier><identifier>DOI: 10.1109/18.370153</identifier><identifier>CODEN: IETTAW</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Amplitude modulation ; Applied sciences ; Channel coding ; Communications ; Convolutional codes ; Equations ; Error probability ; Exact sciences and technology ; Information technology ; Information, signal and communications theory ; Lattices ; Mathematical methods ; Modulation coding ; Multiaccess communication ; Satellites ; Signal processing algorithms ; Telecommunications and information theory</subject><ispartof>IEEE transactions on information theory, 1995-03, Vol.41 (2), p.572-576</ispartof><rights>1995 INIST-CNRS</rights><rights>Copyright Institute of Electrical and Electronics Engineers, Inc. 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In particular, let the length of Kumar-Moreno sequences and the new sequences be the same and equal to p/sup n/-1 with n even, then the family size of the new sequences is p/sup n/2/ which is much smaller than p/sup n/, that of Kumar-Moreno sequences.< ></description><subject>Amplitude modulation</subject><subject>Applied sciences</subject><subject>Channel coding</subject><subject>Communications</subject><subject>Convolutional codes</subject><subject>Equations</subject><subject>Error probability</subject><subject>Exact sciences and technology</subject><subject>Information technology</subject><subject>Information, signal and communications theory</subject><subject>Lattices</subject><subject>Mathematical methods</subject><subject>Modulation coding</subject><subject>Multiaccess communication</subject><subject>Satellites</subject><subject>Signal processing algorithms</subject><subject>Telecommunications and information theory</subject><issn>0018-9448</issn><issn>1557-9654</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><recordid>eNqFkc1LxDAQxYMouH4cvHoqIoKHrpmmaZKjil-oeNFzSdOpRrrNmnQR_3tHKgpePIWZ_PJmXh5je8DnANycgJ4LxUGKNTYDKVVuKlmusxnnoHNTlnqTbaX0SmUpoZix8cz2dnDYZkMYGj_Y-JElfFsh9VL27seX7DmENlti9KH1LnMhRuzt6MOQLWOg_uiJDM1o_UAyXQyLbEFo56m6XS1szO9DxCH86u6wjc72CXe_z232dHnxeH6d3z1c3Zyf3uWuMNWYO1fIDpxBU1RatE60Rqi2KYS1nZQNooVGtQCVqBpZgTTk0SKiVEjuhBbb7GjSpUVpdBrrhU8Oe3KMYZXqQoMyXBX_g0qAlooTePAHfA2rOJCJGozUhnNhCDqeIBdDShG7ehk9_cNHDbz-SqkGXU8pEXv4LWiTs30XKQyffh6IkiYLRdj-hHny93s7aXwCyJya4g</recordid><startdate>19950301</startdate><enddate>19950301</enddate><creator>Moriuchi, T.</creator><creator>Imamura, K.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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First, the unbalanced properties for Kumar-Moreno sequences are pointed out. Second, a new family of balanced nonbinary sequences obtained from modified Kumar-Moreno sequences is proposed, and it is shown that the new family has the same optimal periodic nontrivial correlation as the family of Kumar-Moreno sequences and consists of the balanced nonbinary sequences. It is also shown that the cost of making sequences balanced is a decrease of the family size in addition to the condition that n is an even number. In particular, let the length of Kumar-Moreno sequences and the new sequences be the same and equal to p/sup n/-1 with n even, then the family size of the new sequences is p/sup n/2/ which is much smaller than p/sup n/, that of Kumar-Moreno sequences.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/18.370153</doi><tpages>5</tpages></addata></record> |
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subjects | Amplitude modulation Applied sciences Channel coding Communications Convolutional codes Equations Error probability Exact sciences and technology Information technology Information, signal and communications theory Lattices Mathematical methods Modulation coding Multiaccess communication Satellites Signal processing algorithms Telecommunications and information theory |
title | Balanced nonbinary sequences with good periodic correlation properties obtained from modified Kumar-Moreno sequences |
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