Spectral density correction of a signal at frequency variable transformation
The goal of this paper is to determine analytical expression for the spectral density function of a signal, affected by a known frequency transformation, which do not modify the process energy. Such transformations of frequency variable can frequently appear on spectral density function of a signal,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universitatea Dunarea de Jos
2006-12-01
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| Series: | Analele Universităţii "Dunărea de Jos" Galaţi: Fascicula III, Electrotehnică, Electronică, Automatică, Informatică |
| Subjects: | |
| Online Access: | http://www.ann.ugal.ro/eeai/archives/2006/Lucrare-08-Nicolau.pdf |
| _version_ | 1819086800338026496 |
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| author | Viorel NICOLAU Rustem POPA Constantin MIHOLCA |
| author_facet | Viorel NICOLAU Rustem POPA Constantin MIHOLCA |
| author_sort | Viorel NICOLAU |
| collection | DOAJ |
| description | The goal of this paper is to determine analytical expression for the spectral density function of a signal, affected by a known frequency transformation, which do not modify the process energy. Such transformations of frequency variable can frequently appear on spectral density function of a signal, due to physical events (e.g. Doppler effect) or mathematical considerations (e.g. changing the coordinate system). In this case, all components of the spectral density function are modified. The formulas are valid for every spectral component and can be used in signal processing, for model simulation or implementation of advanced algorithm. A case study is illustrated on wave spectrum correction. |
| first_indexed | 2024-12-21T21:26:00Z |
| format | Article |
| id | doaj.art-b6860e83f8ba4bd69b14e3d16da8e3ac |
| institution | Directory Open Access Journal |
| issn | 1221-454X |
| language | English |
| last_indexed | 2024-12-21T21:26:00Z |
| publishDate | 2006-12-01 |
| publisher | Universitatea Dunarea de Jos |
| record_format | Article |
| series | Analele Universităţii "Dunărea de Jos" Galaţi: Fascicula III, Electrotehnică, Electronică, Automatică, Informatică |
| spelling | doaj.art-b6860e83f8ba4bd69b14e3d16da8e3ac2022-12-21T18:49:46ZengUniversitatea Dunarea de JosAnalele Universităţii "Dunărea de Jos" Galaţi: Fascicula III, Electrotehnică, Electronică, Automatică, Informatică1221-454X2006-12-01200614348Spectral density correction of a signal at frequency variable transformationViorel NICOLAURustem POPAConstantin MIHOLCAThe goal of this paper is to determine analytical expression for the spectral density function of a signal, affected by a known frequency transformation, which do not modify the process energy. Such transformations of frequency variable can frequently appear on spectral density function of a signal, due to physical events (e.g. Doppler effect) or mathematical considerations (e.g. changing the coordinate system). In this case, all components of the spectral density function are modified. The formulas are valid for every spectral component and can be used in signal processing, for model simulation or implementation of advanced algorithm. A case study is illustrated on wave spectrum correction.http://www.ann.ugal.ro/eeai/archives/2006/Lucrare-08-Nicolau.pdfspectral densityfrequency transformationfinite energywave spectrum |
| spellingShingle | Viorel NICOLAU Rustem POPA Constantin MIHOLCA Spectral density correction of a signal at frequency variable transformation Analele Universităţii "Dunărea de Jos" Galaţi: Fascicula III, Electrotehnică, Electronică, Automatică, Informatică spectral density frequency transformation finite energy wave spectrum |
| title | Spectral density correction of a signal at frequency variable transformation |
| title_full | Spectral density correction of a signal at frequency variable transformation |
| title_fullStr | Spectral density correction of a signal at frequency variable transformation |
| title_full_unstemmed | Spectral density correction of a signal at frequency variable transformation |
| title_short | Spectral density correction of a signal at frequency variable transformation |
| title_sort | spectral density correction of a signal at frequency variable transformation |
| topic | spectral density frequency transformation finite energy wave spectrum |
| url | http://www.ann.ugal.ro/eeai/archives/2006/Lucrare-08-Nicolau.pdf |
| work_keys_str_mv | AT viorelnicolau spectraldensitycorrectionofasignalatfrequencyvariabletransformation AT rustempopa spectraldensitycorrectionofasignalatfrequencyvariabletransformation AT constantinmiholca spectraldensitycorrectionofasignalatfrequencyvariabletransformation |