Splitting Magnitude Response into Real and Imaginary Parts
The determination of real and imaginary parts from magnitude responses is studied for causal linear time-invariant systems having monotonic impulse responses. It is demonstrated that the problem can be interpreted as a special filtering task in the Mellin transform domain having a diffuse magnitude...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2017-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201712505004 |
| _version_ | 1818622389868560384 |
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| author | Shtrauss Vairis Kalpinsh Aldis Lomanovskis Uldis |
| author_facet | Shtrauss Vairis Kalpinsh Aldis Lomanovskis Uldis |
| author_sort | Shtrauss Vairis |
| collection | DOAJ |
| description | The determination of real and imaginary parts from magnitude responses is studied for causal linear time-invariant systems having monotonic impulse responses. It is demonstrated that the problem can be interpreted as a special filtering task in the Mellin transform domain having a diffuse magnitude response bounded by the magnitude responses of the filters corresponding to zero and maximum imaginary parts prescribed by the Kronig-Kramers relations. Discrete-time filters processing geometrically sampled magnitude responses are designed for determining the real and imaginary parts. Testing results are presented verifying the performance of the filters. |
| first_indexed | 2024-12-16T18:24:24Z |
| format | Article |
| id | doaj.art-8ccbc6960773499486892ac669000577 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-16T18:24:24Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-8ccbc6960773499486892ac6690005772022-12-21T22:21:28ZengEDP SciencesMATEC Web of Conferences2261-236X2017-01-011250500410.1051/matecconf/201712505004matecconf_cscc2017_05004Splitting Magnitude Response into Real and Imaginary PartsShtrauss VairisKalpinsh AldisLomanovskis UldisThe determination of real and imaginary parts from magnitude responses is studied for causal linear time-invariant systems having monotonic impulse responses. It is demonstrated that the problem can be interpreted as a special filtering task in the Mellin transform domain having a diffuse magnitude response bounded by the magnitude responses of the filters corresponding to zero and maximum imaginary parts prescribed by the Kronig-Kramers relations. Discrete-time filters processing geometrically sampled magnitude responses are designed for determining the real and imaginary parts. Testing results are presented verifying the performance of the filters.https://doi.org/10.1051/matecconf/201712505004 |
| spellingShingle | Shtrauss Vairis Kalpinsh Aldis Lomanovskis Uldis Splitting Magnitude Response into Real and Imaginary Parts MATEC Web of Conferences |
| title | Splitting Magnitude Response into Real and Imaginary Parts |
| title_full | Splitting Magnitude Response into Real and Imaginary Parts |
| title_fullStr | Splitting Magnitude Response into Real and Imaginary Parts |
| title_full_unstemmed | Splitting Magnitude Response into Real and Imaginary Parts |
| title_short | Splitting Magnitude Response into Real and Imaginary Parts |
| title_sort | splitting magnitude response into real and imaginary parts |
| url | https://doi.org/10.1051/matecconf/201712505004 |
| work_keys_str_mv | AT shtraussvairis splittingmagnituderesponseintorealandimaginaryparts AT kalpinshaldis splittingmagnituderesponseintorealandimaginaryparts AT lomanovskisuldis splittingmagnituderesponseintorealandimaginaryparts |