The higher-order reassigned local polynomial periodogram and its properties
Recently the second order reassigned local polynomial periodogram (LPP) has been reported to show some desirable properties for signal representation in the time–frequency domain. In this paper, the higher-order reassigned LPPs and their properties are discussed. With the definition of the modified...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/97286 http://hdl.handle.net/10220/12056 |
| _version_ | 1826126434781888512 |
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| author | Li, Xiumei Bi, Guoan Li, Gang |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Li, Xiumei Bi, Guoan Li, Gang |
| author_sort | Li, Xiumei |
| collection | NTU |
| description | Recently the second order reassigned local polynomial periodogram (LPP) has been reported to show some desirable properties for signal representation in the time–frequency domain. In this paper, the higher-order reassigned LPPs and their properties are discussed. With the definition of the modified Wigner–Ville distribution, the reassignment operators of the third, fourth and the arbitrary higher-order reassigned LPP are defined and derived. It is shown that the higher-order reassigned LPPs share the properties with the second order reassigned LPP, such as the non-negativity, non-bilinearity, time and frequency shifts invariance, time-scaling property and energy conservation. The property of the higher-order reassigned LPP to perfectly localize the corresponding order polynomial phase signals is also investigated to obtain improved signal concentration in the time–frequency domain. |
| first_indexed | 2024-10-01T06:52:35Z |
| format | Journal Article |
| id | ntu-10356/97286 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:52:35Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/972862020-03-07T14:02:47Z The higher-order reassigned local polynomial periodogram and its properties Li, Xiumei Bi, Guoan Li, Gang School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering Recently the second order reassigned local polynomial periodogram (LPP) has been reported to show some desirable properties for signal representation in the time–frequency domain. In this paper, the higher-order reassigned LPPs and their properties are discussed. With the definition of the modified Wigner–Ville distribution, the reassignment operators of the third, fourth and the arbitrary higher-order reassigned LPP are defined and derived. It is shown that the higher-order reassigned LPPs share the properties with the second order reassigned LPP, such as the non-negativity, non-bilinearity, time and frequency shifts invariance, time-scaling property and energy conservation. The property of the higher-order reassigned LPP to perfectly localize the corresponding order polynomial phase signals is also investigated to obtain improved signal concentration in the time–frequency domain. 2013-07-23T04:35:56Z 2019-12-06T19:40:54Z 2013-07-23T04:35:56Z 2019-12-06T19:40:54Z 2012 2012 Journal Article Li, X., Bi, G., & Li, G. (2012). The higher-order reassigned local polynomial periodogram and its properties. Signal Processing, 92(12), 2909-2918. 0165-1684 https://hdl.handle.net/10356/97286 http://hdl.handle.net/10220/12056 10.1016/j.sigpro.2012.05.023 en Signal processing © 2012 Elsevier B.V. |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Li, Xiumei Bi, Guoan Li, Gang The higher-order reassigned local polynomial periodogram and its properties |
| title | The higher-order reassigned local polynomial periodogram and its properties |
| title_full | The higher-order reassigned local polynomial periodogram and its properties |
| title_fullStr | The higher-order reassigned local polynomial periodogram and its properties |
| title_full_unstemmed | The higher-order reassigned local polynomial periodogram and its properties |
| title_short | The higher-order reassigned local polynomial periodogram and its properties |
| title_sort | higher order reassigned local polynomial periodogram and its properties |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/97286 http://hdl.handle.net/10220/12056 |
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