New fractional cosine transform and its application
A new Fractional Cosine Transform was proposed. It was a weighted combination of the first two integer-order cosine transforms of the original signal, and it has the same eigenvectors as the cosine transform’s, but the different eigenvalues which have a periodicity of two. When the periodicity from...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2005-01-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/74665854/ |
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| _version_ | 1841537295038021632 |
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| author | ZHANG Yong-liang ZENG Yi-cheng |
| author_facet | ZHANG Yong-liang ZENG Yi-cheng |
| author_sort | ZHANG Yong-liang |
| collection | DOAJ |
| description | A new Fractional Cosine Transform was proposed. It was a weighted combination of the first two integer-order cosine transforms of the original signal, and it has the same eigenvectors as the cosine transform’s, but the different eigenvalues which have a periodicity of two. When the periodicity from two to K was extended, K period fractional cosine transform was obtained. Two algorithms were deduced and the advantages of the new fractional cosine transform were analyzed. At last, the application in digital watermark of aural signals was discussed. |
| format | Article |
| id | doaj-art-b90f5f72f714472f8dc9e63d32c935bd |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2005-01-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-b90f5f72f714472f8dc9e63d32c935bd2025-01-14T08:41:37ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2005-01-0111111574665854New fractional cosine transform and its applicationZHANG Yong-liangZENG Yi-chengA new Fractional Cosine Transform was proposed. It was a weighted combination of the first two integer-order cosine transforms of the original signal, and it has the same eigenvectors as the cosine transform’s, but the different eigenvalues which have a periodicity of two. When the periodicity from two to K was extended, K period fractional cosine transform was obtained. Two algorithms were deduced and the advantages of the new fractional cosine transform were analyzed. At last, the application in digital watermark of aural signals was discussed.http://www.joconline.com.cn/zh/article/74665854/signal and information processingfractional cosine transformeigenvalueeigenvectordigital watermark |
| spellingShingle | ZHANG Yong-liang ZENG Yi-cheng New fractional cosine transform and its application Tongxin xuebao signal and information processing fractional cosine transform eigenvalue eigenvector digital watermark |
| title | New fractional cosine transform and its application |
| title_full | New fractional cosine transform and its application |
| title_fullStr | New fractional cosine transform and its application |
| title_full_unstemmed | New fractional cosine transform and its application |
| title_short | New fractional cosine transform and its application |
| title_sort | new fractional cosine transform and its application |
| topic | signal and information processing fractional cosine transform eigenvalue eigenvector digital watermark |
| url | http://www.joconline.com.cn/zh/article/74665854/ |
| work_keys_str_mv | AT zhangyongliang newfractionalcosinetransformanditsapplication AT zengyicheng newfractionalcosinetransformanditsapplication |