Construction method of optimal codebook based on Zadoff-Chu matrix
Codebooks with low-coherence have wide utilization in code division multiple access (CDMA) communications,quantum information theory,compressed sensing and so on.In order to expand the number of codebooks,the restrictions on the transformation matrix were relaxed.Based on the Zadoff-Chu matrix,new c...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2020-03-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020021/ |
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| _version_ | 1841539349511929856 |
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| author | Yubo LI Shengyi LIU Jingjing ZHANG Dongyan JIA |
| author_facet | Yubo LI Shengyi LIU Jingjing ZHANG Dongyan JIA |
| author_sort | Yubo LI |
| collection | DOAJ |
| description | Codebooks with low-coherence have wide utilization in code division multiple access (CDMA) communications,quantum information theory,compressed sensing and so on.In order to expand the number of codebooks,the restrictions on the transformation matrix were relaxed.Based on the Zadoff-Chu matrix,new codebooks were constructed using the difference set,almost difference set,and finite field character sum.The proposed codebooks were optimal or near optimal according to the Welch bound or Levenstein bound.Through experimental simulation,it is found that the deterministic measurement matrices constructed using these codebooks also have good performance in the process of compressed sensing. |
| format | Article |
| id | doaj-art-5ea98fde614f434683479e7c0e1d8b8e |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2020-03-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-5ea98fde614f434683479e7c0e1d8b8e2025-01-14T07:18:45ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2020-03-014111211959733759Construction method of optimal codebook based on Zadoff-Chu matrixYubo LIShengyi LIUJingjing ZHANGDongyan JIACodebooks with low-coherence have wide utilization in code division multiple access (CDMA) communications,quantum information theory,compressed sensing and so on.In order to expand the number of codebooks,the restrictions on the transformation matrix were relaxed.Based on the Zadoff-Chu matrix,new codebooks were constructed using the difference set,almost difference set,and finite field character sum.The proposed codebooks were optimal or near optimal according to the Welch bound or Levenstein bound.Through experimental simulation,it is found that the deterministic measurement matrices constructed using these codebooks also have good performance in the process of compressed sensing.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020021/codebookdifference setalmost difference setWelch boundLevenstein bound |
| spellingShingle | Yubo LI Shengyi LIU Jingjing ZHANG Dongyan JIA Construction method of optimal codebook based on Zadoff-Chu matrix Tongxin xuebao codebook difference set almost difference set Welch bound Levenstein bound |
| title | Construction method of optimal codebook based on Zadoff-Chu matrix |
| title_full | Construction method of optimal codebook based on Zadoff-Chu matrix |
| title_fullStr | Construction method of optimal codebook based on Zadoff-Chu matrix |
| title_full_unstemmed | Construction method of optimal codebook based on Zadoff-Chu matrix |
| title_short | Construction method of optimal codebook based on Zadoff-Chu matrix |
| title_sort | construction method of optimal codebook based on zadoff chu matrix |
| topic | codebook difference set almost difference set Welch bound Levenstein bound |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020021/ |
| work_keys_str_mv | AT yuboli constructionmethodofoptimalcodebookbasedonzadoffchumatrix AT shengyiliu constructionmethodofoptimalcodebookbasedonzadoffchumatrix AT jingjingzhang constructionmethodofoptimalcodebookbasedonzadoffchumatrix AT dongyanjia constructionmethodofoptimalcodebookbasedonzadoffchumatrix |