On sequency-complete and sequency-ordered matrices
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913236175028224 |
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| author | Shukla, Alok Vedula, Prakash |
| author_facet | Shukla, Alok Vedula, Prakash |
| contents | The concept of sequency holds a fundamental significance in signal analysis using Walsh basis functions. In this study, we closely examine the concept of sequency and explore the properties of sequency-complete and sequency-ordered matrices. We obtain results on cardinalities of sets containing sequency-complete and sequency-ordered matrices of arbitrary sizes. We present methods for obtaining interesting classes of sequency-complete and sequency-ordered matrices of arbitrary sizes. We also provide results on the sequencies of columns in tensor products involving two or more matrices. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_11003 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On sequency-complete and sequency-ordered matrices Shukla, Alok Vedula, Prakash Combinatorics 05B20, 15B34 The concept of sequency holds a fundamental significance in signal analysis using Walsh basis functions. In this study, we closely examine the concept of sequency and explore the properties of sequency-complete and sequency-ordered matrices. We obtain results on cardinalities of sets containing sequency-complete and sequency-ordered matrices of arbitrary sizes. We present methods for obtaining interesting classes of sequency-complete and sequency-ordered matrices of arbitrary sizes. We also provide results on the sequencies of columns in tensor products involving two or more matrices. |
| title | On sequency-complete and sequency-ordered matrices |
| topic | Combinatorics 05B20, 15B34 |
| url | https://arxiv.org/abs/2402.11003 |