TY - GEN
T1 - Wigner–Ville Distribution with Multiple Quaternion Correlations via the Offset Linear Canonical Transform
AU - Yang, Zishuo
AU - Li, Bingzhao
N1 - Publisher Copyright:
©2025 IEEE.
PY - 2025
Y1 - 2025
N2 - Statistical methods for quaternion enhancement, which are based on multiple quaternion correlations, have found extensive applications in areas such as unmanned aerial vehicle positioning and multiplicative noise removal. However, research on the Wigner-Ville distribution associated with the quaternionic offset linear canonical transform (WVD-QOLCT) fields only utilizes one quaternion correlation based on the conjugate of all imaginary parts of quaternions. In this study, to fully exploit the multiple correlations inherent in quaternions, we propose a novel Wigner–Ville distribution with multiple quaternion correlations via the offset linear canonical transform (WVD-QCOLCT), which introduces the multiple correlation characteristics of quaternions into the WVD-QOLCT. Subsequently, we derive some properties of the WVD-QCOLCT, such as the inverse, the relationship between multiple quaternion correlations in the WVD-QCOLCT, and the uncertainty principle. Finally, a detection algorithm for quaternion signals is proposed to evaluate the performance of the WVD-QCOLCT.
AB - Statistical methods for quaternion enhancement, which are based on multiple quaternion correlations, have found extensive applications in areas such as unmanned aerial vehicle positioning and multiplicative noise removal. However, research on the Wigner-Ville distribution associated with the quaternionic offset linear canonical transform (WVD-QOLCT) fields only utilizes one quaternion correlation based on the conjugate of all imaginary parts of quaternions. In this study, to fully exploit the multiple correlations inherent in quaternions, we propose a novel Wigner–Ville distribution with multiple quaternion correlations via the offset linear canonical transform (WVD-QCOLCT), which introduces the multiple correlation characteristics of quaternions into the WVD-QOLCT. Subsequently, we derive some properties of the WVD-QCOLCT, such as the inverse, the relationship between multiple quaternion correlations in the WVD-QCOLCT, and the uncertainty principle. Finally, a detection algorithm for quaternion signals is proposed to evaluate the performance of the WVD-QCOLCT.
KW - multiple quaternion correlations
KW - offset linear canonical transform
KW - signal detection
KW - wigner-ville distribution
UR - https://www.scopus.com/pages/publications/105031419139
U2 - 10.1109/CCISP67522.2025.11282120
DO - 10.1109/CCISP67522.2025.11282120
M3 - Conference contribution
AN - SCOPUS:105031419139
T3 - Proceedings - 2025 10th International Conference on Communication, Image and Signal Processing, CCISP 2025
SP - 116
EP - 122
BT - Proceedings - 2025 10th International Conference on Communication, Image and Signal Processing, CCISP 2025
A2 - Jiang, Yizhang
A2 - He, Ling
A2 - Zhang, Jing
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 10th International Conference on Communication, Image and Signal Processing, CCISP 2025
Y2 - 20 November 2025 through 23 November 2025
ER -