Quadratic phase S-Transform: Properties and uncertainty principles
In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane. Firstly, we define the novel QPST and give it...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | e-Prime: Advances in Electrical Engineering, Electronics and Energy |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2772671123000578 |
| _version_ | 1797802074332725248 |
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| author | M. Younus Bhat Aamir H. Dar |
| author_facet | M. Younus Bhat Aamir H. Dar |
| author_sort | M. Younus Bhat |
| collection | DOAJ |
| description | In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane. Firstly, we define the novel QPST and give its relation with quadratic phase Fourier transform (QPFT). Secondly, several important properties of newly defined QPST, such as conjugation, translation, modulation, orthogonality relation and reconstruction formula are derived. Finally, we formulate several classes of uncertainty inequalities, such as the Heisenberg uncertainty inequality and logarithmic uncertainty inequality. |
| first_indexed | 2024-03-13T05:01:12Z |
| format | Article |
| id | doaj.art-df418166ec57439fab1d72cfd4e9e00a |
| institution | Directory Open Access Journal |
| issn | 2772-6711 |
| language | English |
| last_indexed | 2024-03-13T05:01:12Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | e-Prime: Advances in Electrical Engineering, Electronics and Energy |
| spelling | doaj.art-df418166ec57439fab1d72cfd4e9e00a2023-06-17T05:21:51ZengElseviere-Prime: Advances in Electrical Engineering, Electronics and Energy2772-67112023-06-014100162Quadratic phase S-Transform: Properties and uncertainty principlesM. Younus Bhat0Aamir H. Dar1Corresponding author.; Department of Mathematical Sciences, Islamic University of Science and Technology, KashmirDepartment of Mathematical Sciences, Islamic University of Science and Technology, KashmirIn this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane. Firstly, we define the novel QPST and give its relation with quadratic phase Fourier transform (QPFT). Secondly, several important properties of newly defined QPST, such as conjugation, translation, modulation, orthogonality relation and reconstruction formula are derived. Finally, we formulate several classes of uncertainty inequalities, such as the Heisenberg uncertainty inequality and logarithmic uncertainty inequality.http://www.sciencedirect.com/science/article/pii/S277267112300057842C4081S3011R5244A35 |
| spellingShingle | M. Younus Bhat Aamir H. Dar Quadratic phase S-Transform: Properties and uncertainty principles e-Prime: Advances in Electrical Engineering, Electronics and Energy 42C40 81S30 11R52 44A35 |
| title | Quadratic phase S-Transform: Properties and uncertainty principles |
| title_full | Quadratic phase S-Transform: Properties and uncertainty principles |
| title_fullStr | Quadratic phase S-Transform: Properties and uncertainty principles |
| title_full_unstemmed | Quadratic phase S-Transform: Properties and uncertainty principles |
| title_short | Quadratic phase S-Transform: Properties and uncertainty principles |
| title_sort | quadratic phase s transform properties and uncertainty principles |
| topic | 42C40 81S30 11R52 44A35 |
| url | http://www.sciencedirect.com/science/article/pii/S2772671123000578 |
| work_keys_str_mv | AT myounusbhat quadraticphasestransformpropertiesanduncertaintyprinciples AT aamirhdar quadraticphasestransformpropertiesanduncertaintyprinciples |