Maximum Total Improper Complex Correntropy Algorithm for Widely Linear Adaptive Filtering
The maximum total complex correntropy (MTCC) algorithm improves the performance of adaptive filtering under the error in variable (EIV) model by integrating both input and output noise information into the total complex correntropy. However, the MTCC algorithm cannot be applied to the widely linear...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2022-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9945970/ |
| _version_ | 1811312665356664832 |
|---|---|
| author | Lianqing Fu Li Zhou |
| author_facet | Lianqing Fu Li Zhou |
| author_sort | Lianqing Fu |
| collection | DOAJ |
| description | The maximum total complex correntropy (MTCC) algorithm improves the performance of adaptive filtering under the error in variable (EIV) model by integrating both input and output noise information into the total complex correntropy. However, the MTCC algorithm cannot be applied to the widely linear model, directly. Compared with a strictly linear model, the widely linear model provides the complete statistical information of signals for adaptive filtering. This paper first constructs a novel cost function for the widely linear model by incorporating the input and output noise information into the improper complex correntropy. Then, a novel widely linear adaptive filter algorithm named widely linear maximum total improper complex correntropy (WL-MTICC) is proposed using the gradient descent method under the maximum total improper correntropy criterion. Finally, the analysis of local stability and convergence in the mean sense regarding the proposed WL-MTICC algorithm is provided. Simulations are used to show the performance advantage of the proposed WL-MTICC algorithm in the presence of both input and output noises. |
| first_indexed | 2024-04-13T10:40:52Z |
| format | Article |
| id | doaj.art-e13539d8e15a4f9d811f5c19ec05fe11 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-13T10:40:52Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-e13539d8e15a4f9d811f5c19ec05fe112022-12-22T02:49:56ZengIEEEIEEE Access2169-35362022-01-011011925911926810.1109/ACCESS.2022.32214419945970Maximum Total Improper Complex Correntropy Algorithm for Widely Linear Adaptive FilteringLianqing Fu0https://orcid.org/0000-0003-2798-9640Li Zhou1InfiRay Microsystem Technology Company Ltd., Chengdu, ChinaSouthwest Electronic Technology Research Institute, Chengdu, ChinaThe maximum total complex correntropy (MTCC) algorithm improves the performance of adaptive filtering under the error in variable (EIV) model by integrating both input and output noise information into the total complex correntropy. However, the MTCC algorithm cannot be applied to the widely linear model, directly. Compared with a strictly linear model, the widely linear model provides the complete statistical information of signals for adaptive filtering. This paper first constructs a novel cost function for the widely linear model by incorporating the input and output noise information into the improper complex correntropy. Then, a novel widely linear adaptive filter algorithm named widely linear maximum total improper complex correntropy (WL-MTICC) is proposed using the gradient descent method under the maximum total improper correntropy criterion. Finally, the analysis of local stability and convergence in the mean sense regarding the proposed WL-MTICC algorithm is provided. Simulations are used to show the performance advantage of the proposed WL-MTICC algorithm in the presence of both input and output noises.https://ieeexplore.ieee.org/document/9945970/Adaptive filterconvergencestabilitytotal complex correntropywidely linear model |
| spellingShingle | Lianqing Fu Li Zhou Maximum Total Improper Complex Correntropy Algorithm for Widely Linear Adaptive Filtering IEEE Access Adaptive filter convergence stability total complex correntropy widely linear model |
| title | Maximum Total Improper Complex Correntropy Algorithm for Widely Linear Adaptive Filtering |
| title_full | Maximum Total Improper Complex Correntropy Algorithm for Widely Linear Adaptive Filtering |
| title_fullStr | Maximum Total Improper Complex Correntropy Algorithm for Widely Linear Adaptive Filtering |
| title_full_unstemmed | Maximum Total Improper Complex Correntropy Algorithm for Widely Linear Adaptive Filtering |
| title_short | Maximum Total Improper Complex Correntropy Algorithm for Widely Linear Adaptive Filtering |
| title_sort | maximum total improper complex correntropy algorithm for widely linear adaptive filtering |
| topic | Adaptive filter convergence stability total complex correntropy widely linear model |
| url | https://ieeexplore.ieee.org/document/9945970/ |
| work_keys_str_mv | AT lianqingfu maximumtotalimpropercomplexcorrentropyalgorithmforwidelylinearadaptivefiltering AT lizhou maximumtotalimpropercomplexcorrentropyalgorithmforwidelylinearadaptivefiltering |