A Family of Single-Channel Spectrally-Null-Constrained Sequences With Low Correlation
Spectrally-constrained sequences (SCSs) with good correlation properties, and low spectral power under the spectral constraint have found many practical applications in communication, and radar systems operating over non-contiguous carriers or frequency slots. In this letter, a construction of singl...
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| Veröffentlicht in: | IEEE signal processing letters 2020, Vol.27, p.1645-1649 |
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| creator | Tian, Liying Xu, Chengqian Li, Yubo |
| description | Spectrally-constrained sequences (SCSs) with good correlation properties, and low spectral power under the spectral constraint have found many practical applications in communication, and radar systems operating over non-contiguous carriers or frequency slots. In this letter, a construction of single-channel spectrally-null-constrained sequence (SNCS) families with good correlation is proposed. Following the proposed construction, a single-channel polyphase SNCS family with period N(N + 1), and family size (p-1) can be obtained, which has zero power leakage under the spectral constraint \lbrace 1+a(N+1):a\in \mathbb {Z}_N\rbrace, where N is an odd integer, and p is the minimum prime factor of N. Note that the maximum periodic correlation magnitude of the derived single-channel SNCS family is (N+1), which asymptotically achieves the correlation lower bound as p increasing. |
| doi_str_mv | 10.1109/LSP.2020.3023858 |
| format | Article |
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In this letter, a construction of single-channel spectrally-null-constrained sequence (SNCS) families with good correlation is proposed. Following the proposed construction, a single-channel polyphase SNCS family with period <inline-formula><tex-math notation="LaTeX">N(N</tex-math></inline-formula> + 1), and family size <inline-formula><tex-math notation="LaTeX">(p-1)</tex-math></inline-formula> can be obtained, which has zero power leakage under the spectral constraint <inline-formula><tex-math notation="LaTeX">\lbrace 1+a(N+1):a\in \mathbb {Z}_N\rbrace</tex-math></inline-formula>, where <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula> is an odd integer, and <inline-formula><tex-math notation="LaTeX">p</tex-math></inline-formula> is the minimum prime factor of <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula>. Note that the maximum periodic correlation magnitude of the derived single-channel SNCS family is <inline-formula><tex-math notation="LaTeX">(N+1)</tex-math></inline-formula>, which asymptotically achieves the correlation lower bound as <inline-formula><tex-math notation="LaTeX">p</tex-math></inline-formula> increasing.]]></description><identifier>ISSN: 1070-9908</identifier><identifier>EISSN: 1558-2361</identifier><identifier>DOI: 10.1109/LSP.2020.3023858</identifier><identifier>CODEN: ISPLEM</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Cognitive radio/radar ; Constraints ; Correlation ; Frequency-domain analysis ; good correlation ; Lower bounds ; Multiaccess communication ; Peak to average power ratio ; Radar applications ; Radar equipment ; Signal processing ; spe-ctrally-constrained sequence (SCS) ; Spectra ; spectrally-null-constrained sequence (SNCS)</subject><ispartof>IEEE signal processing letters, 2020, Vol.27, p.1645-1649</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c291t-4625e04f72d1d21f043063870281c6992cab4a90a233cfd124a4fffc4b9dd5c83</citedby><cites>FETCH-LOGICAL-c291t-4625e04f72d1d21f043063870281c6992cab4a90a233cfd124a4fffc4b9dd5c83</cites><orcidid>0000-0002-1109-0414 ; 0000-0002-0037-1528 ; 0000-0002-2990-0550</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9195741$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,4010,27900,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9195741$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Tian, Liying</creatorcontrib><creatorcontrib>Xu, Chengqian</creatorcontrib><creatorcontrib>Li, Yubo</creatorcontrib><title>A Family of Single-Channel Spectrally-Null-Constrained Sequences With Low Correlation</title><title>IEEE signal processing letters</title><addtitle>LSP</addtitle><description><![CDATA[Spectrally-constrained sequences (SCSs) with good correlation properties, and low spectral power under the spectral constraint have found many practical applications in communication, and radar systems operating over non-contiguous carriers or frequency slots. In this letter, a construction of single-channel spectrally-null-constrained sequence (SNCS) families with good correlation is proposed. Following the proposed construction, a single-channel polyphase SNCS family with period <inline-formula><tex-math notation="LaTeX">N(N</tex-math></inline-formula> + 1), and family size <inline-formula><tex-math notation="LaTeX">(p-1)</tex-math></inline-formula> can be obtained, which has zero power leakage under the spectral constraint <inline-formula><tex-math notation="LaTeX">\lbrace 1+a(N+1):a\in \mathbb {Z}_N\rbrace</tex-math></inline-formula>, where <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula> is an odd integer, and <inline-formula><tex-math notation="LaTeX">p</tex-math></inline-formula> is the minimum prime factor of <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula>. Note that the maximum periodic correlation magnitude of the derived single-channel SNCS family is <inline-formula><tex-math notation="LaTeX">(N+1)</tex-math></inline-formula>, which asymptotically achieves the correlation lower bound as <inline-formula><tex-math notation="LaTeX">p</tex-math></inline-formula> increasing.]]></description><subject>Cognitive radio/radar</subject><subject>Constraints</subject><subject>Correlation</subject><subject>Frequency-domain analysis</subject><subject>good correlation</subject><subject>Lower bounds</subject><subject>Multiaccess communication</subject><subject>Peak to average power ratio</subject><subject>Radar applications</subject><subject>Radar equipment</subject><subject>Signal processing</subject><subject>spe-ctrally-constrained sequence (SCS)</subject><subject>Spectra</subject><subject>spectrally-null-constrained sequence (SNCS)</subject><issn>1070-9908</issn><issn>1558-2361</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kN1LwzAUxYMoOKfvgi8BnztvvtrkcRS_oKhQh48hSxPXkbUz6ZD993Zs-HTvhXPOPfwQuiUwIwTUQ1V_zChQmDGgTAp5hiZECJlRlpPzcYcCMqVAXqKrlNYAIIkUE7SY4yezacMe9x7XbfcdXFauTNe5gOuts0M0Ieyzt10IWdl3abzbzjW4dj8711mX8Fc7rHDV_-Kyj9EFM7R9d40uvAnJ3ZzmFC2eHj_Ll6x6f34t51VmqSJDxnMqHHBf0IY0lHjgDHImC6CS2Fwpas2SGwWGMmZ9Qyg33Htv-VI1jbCSTdH9MXcb-7FPGvS638VufKkp54UQORkDpwiOKhv7lKLzehvbjYl7TUAf4OkRnj7A0yd4o-XuaGmdc_9yRZQoOGF__iZqFw</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Tian, Liying</creator><creator>Xu, Chengqian</creator><creator>Li, Yubo</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-1109-0414</orcidid><orcidid>https://orcid.org/0000-0002-0037-1528</orcidid><orcidid>https://orcid.org/0000-0002-2990-0550</orcidid></search><sort><creationdate>2020</creationdate><title>A Family of Single-Channel Spectrally-Null-Constrained Sequences With Low Correlation</title><author>Tian, Liying ; Xu, Chengqian ; Li, Yubo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c291t-4625e04f72d1d21f043063870281c6992cab4a90a233cfd124a4fffc4b9dd5c83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Cognitive radio/radar</topic><topic>Constraints</topic><topic>Correlation</topic><topic>Frequency-domain analysis</topic><topic>good correlation</topic><topic>Lower bounds</topic><topic>Multiaccess communication</topic><topic>Peak to average power ratio</topic><topic>Radar applications</topic><topic>Radar equipment</topic><topic>Signal processing</topic><topic>spe-ctrally-constrained sequence (SCS)</topic><topic>Spectra</topic><topic>spectrally-null-constrained sequence (SNCS)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tian, Liying</creatorcontrib><creatorcontrib>Xu, Chengqian</creatorcontrib><creatorcontrib>Li, Yubo</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE signal processing letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tian, Liying</au><au>Xu, Chengqian</au><au>Li, Yubo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Family of Single-Channel Spectrally-Null-Constrained Sequences With Low Correlation</atitle><jtitle>IEEE signal processing letters</jtitle><stitle>LSP</stitle><date>2020</date><risdate>2020</risdate><volume>27</volume><spage>1645</spage><epage>1649</epage><pages>1645-1649</pages><issn>1070-9908</issn><eissn>1558-2361</eissn><coden>ISPLEM</coden><abstract><![CDATA[Spectrally-constrained sequences (SCSs) with good correlation properties, and low spectral power under the spectral constraint have found many practical applications in communication, and radar systems operating over non-contiguous carriers or frequency slots. In this letter, a construction of single-channel spectrally-null-constrained sequence (SNCS) families with good correlation is proposed. Following the proposed construction, a single-channel polyphase SNCS family with period <inline-formula><tex-math notation="LaTeX">N(N</tex-math></inline-formula> + 1), and family size <inline-formula><tex-math notation="LaTeX">(p-1)</tex-math></inline-formula> can be obtained, which has zero power leakage under the spectral constraint <inline-formula><tex-math notation="LaTeX">\lbrace 1+a(N+1):a\in \mathbb {Z}_N\rbrace</tex-math></inline-formula>, where <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula> is an odd integer, and <inline-formula><tex-math notation="LaTeX">p</tex-math></inline-formula> is the minimum prime factor of <inline-formula><tex-math notation="LaTeX">N</tex-math></inline-formula>. Note that the maximum periodic correlation magnitude of the derived single-channel SNCS family is <inline-formula><tex-math notation="LaTeX">(N+1)</tex-math></inline-formula>, which asymptotically achieves the correlation lower bound as <inline-formula><tex-math notation="LaTeX">p</tex-math></inline-formula> increasing.]]></abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/LSP.2020.3023858</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0002-1109-0414</orcidid><orcidid>https://orcid.org/0000-0002-0037-1528</orcidid><orcidid>https://orcid.org/0000-0002-2990-0550</orcidid></addata></record> |
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| subjects | Cognitive radio/radar Constraints Correlation Frequency-domain analysis good correlation Lower bounds Multiaccess communication Peak to average power ratio Radar applications Radar equipment Signal processing spe-ctrally-constrained sequence (SCS) Spectra spectrally-null-constrained sequence (SNCS) |
| title | A Family of Single-Channel Spectrally-Null-Constrained Sequences With Low Correlation |
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