Compressive Optical Spectrometry Based on Sequency-Ordered Hadamard Transform
We propose a compressive Hadamard transform spectrometer (CHTS) based on the energy compaction trait of the sequency-ordered Hadamard matrix (SOHM), in which the spectrum is reconstructed from compressed measurements using simple matrix multiplication. The evaluation of a 128-channel CHTS on the mea...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
|
| Series: | IEEE Photonics Journal |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9206000/ |
| _version_ | 1819120630418636800 |
|---|---|
| author | Yi Zhang Jian Kang Chao-Mao Hsieh Quan Liu |
| author_facet | Yi Zhang Jian Kang Chao-Mao Hsieh Quan Liu |
| author_sort | Yi Zhang |
| collection | DOAJ |
| description | We propose a compressive Hadamard transform spectrometer (CHTS) based on the energy compaction trait of the sequency-ordered Hadamard matrix (SOHM), in which the spectrum is reconstructed from compressed measurements using simple matrix multiplication. The evaluation of a 128-channel CHTS on the measurements of a fluorescence spectrum demonstrates compression ratios up to 8:1, with a relative root mean square error of around 3%. |
| first_indexed | 2024-12-22T06:23:43Z |
| format | Article |
| id | doaj.art-f9f1989072be4f6fa3f915d4951a13ab |
| institution | Directory Open Access Journal |
| issn | 1943-0655 |
| language | English |
| last_indexed | 2024-12-22T06:23:43Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj.art-f9f1989072be4f6fa3f915d4951a13ab2022-12-21T18:35:54ZengIEEEIEEE Photonics Journal1943-06552020-01-011251810.1109/JPHOT.2020.30268299206000Compressive Optical Spectrometry Based on Sequency-Ordered Hadamard TransformYi Zhang0https://orcid.org/0000-0002-1704-4144Jian Kang1Chao-Mao Hsieh2Quan Liu3https://orcid.org/0000-0001-7730-5775School of Chemical and Biomedical Engineering, Nanyang Technological University, SingaporeSchool of Chemical and Biomedical Engineering, Nanyang Technological University, SingaporeSchool of Chemical and Biomedical Engineering, Nanyang Technological University, SingaporeSchool of Chemical and Biomedical Engineering, Nanyang Technological University, SingaporeWe propose a compressive Hadamard transform spectrometer (CHTS) based on the energy compaction trait of the sequency-ordered Hadamard matrix (SOHM), in which the spectrum is reconstructed from compressed measurements using simple matrix multiplication. The evaluation of a 128-channel CHTS on the measurements of a fluorescence spectrum demonstrates compression ratios up to 8:1, with a relative root mean square error of around 3%.https://ieeexplore.ieee.org/document/9206000/Optical spectrometrySequency-ordered Hadamard matrixHadamard transform |
| spellingShingle | Yi Zhang Jian Kang Chao-Mao Hsieh Quan Liu Compressive Optical Spectrometry Based on Sequency-Ordered Hadamard Transform IEEE Photonics Journal Optical spectrometry Sequency-ordered Hadamard matrix Hadamard transform |
| title | Compressive Optical Spectrometry Based on Sequency-Ordered Hadamard Transform |
| title_full | Compressive Optical Spectrometry Based on Sequency-Ordered Hadamard Transform |
| title_fullStr | Compressive Optical Spectrometry Based on Sequency-Ordered Hadamard Transform |
| title_full_unstemmed | Compressive Optical Spectrometry Based on Sequency-Ordered Hadamard Transform |
| title_short | Compressive Optical Spectrometry Based on Sequency-Ordered Hadamard Transform |
| title_sort | compressive optical spectrometry based on sequency ordered hadamard transform |
| topic | Optical spectrometry Sequency-ordered Hadamard matrix Hadamard transform |
| url | https://ieeexplore.ieee.org/document/9206000/ |
| work_keys_str_mv | AT yizhang compressiveopticalspectrometrybasedonsequencyorderedhadamardtransform AT jiankang compressiveopticalspectrometrybasedonsequencyorderedhadamardtransform AT chaomaohsieh compressiveopticalspectrometrybasedonsequencyorderedhadamardtransform AT quanliu compressiveopticalspectrometrybasedonsequencyorderedhadamardtransform |