THE MAXIMUM-ENTROPY METHOD AND FOURIER TRANSFORMATION COMPARED
The relationship between NMR spectra obtained by the maximum entropy method and by conventional processing (Fourier transformation) is explored. In certain circumstances, the maximum entropy reconstruction is simply a nonlinearly amplified form of the Fourier transform spectrum and is therefore esse...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
1991
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| _version_ | 1826297962973626368 |
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| author | Jones, J Hore, P |
| author_facet | Jones, J Hore, P |
| author_sort | Jones, J |
| collection | OXFORD |
| description | The relationship between NMR spectra obtained by the maximum entropy method and by conventional processing (Fourier transformation) is explored. In certain circumstances, the maximum entropy reconstruction is simply a nonlinearly amplified form of the Fourier transform spectrum and is therefore essentially worthless. More complex and interesting behavior is found under conditions more likely to be met in practice. Using simple examples, it is argued that a maximum entropy reconstruction can reveal information that could not be obtained from a single Fourier transform spectrum. © 1991. |
| first_indexed | 2024-03-07T04:39:34Z |
| format | Journal article |
| id | oxford-uuid:d1252a0f-db78-4524-92d1-0262520f5536 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:39:34Z |
| publishDate | 1991 |
| record_format | dspace |
| spelling | oxford-uuid:d1252a0f-db78-4524-92d1-0262520f55362022-03-27T07:55:05ZTHE MAXIMUM-ENTROPY METHOD AND FOURIER TRANSFORMATION COMPAREDJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d1252a0f-db78-4524-92d1-0262520f5536EnglishSymplectic Elements at Oxford1991Jones, JHore, PThe relationship between NMR spectra obtained by the maximum entropy method and by conventional processing (Fourier transformation) is explored. In certain circumstances, the maximum entropy reconstruction is simply a nonlinearly amplified form of the Fourier transform spectrum and is therefore essentially worthless. More complex and interesting behavior is found under conditions more likely to be met in practice. Using simple examples, it is argued that a maximum entropy reconstruction can reveal information that could not be obtained from a single Fourier transform spectrum. © 1991. |
| spellingShingle | Jones, J Hore, P THE MAXIMUM-ENTROPY METHOD AND FOURIER TRANSFORMATION COMPARED |
| title | THE MAXIMUM-ENTROPY METHOD AND FOURIER TRANSFORMATION COMPARED |
| title_full | THE MAXIMUM-ENTROPY METHOD AND FOURIER TRANSFORMATION COMPARED |
| title_fullStr | THE MAXIMUM-ENTROPY METHOD AND FOURIER TRANSFORMATION COMPARED |
| title_full_unstemmed | THE MAXIMUM-ENTROPY METHOD AND FOURIER TRANSFORMATION COMPARED |
| title_short | THE MAXIMUM-ENTROPY METHOD AND FOURIER TRANSFORMATION COMPARED |
| title_sort | maximum entropy method and fourier transformation compared |
| work_keys_str_mv | AT jonesj themaximumentropymethodandfouriertransformationcompared AT horep themaximumentropymethodandfouriertransformationcompared AT jonesj maximumentropymethodandfouriertransformationcompared AT horep maximumentropymethodandfouriertransformationcompared |