TY - GEN
T1 - Performance advantage of quaternion widely linear estimation
T2 - 41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016
AU - Xiang, Min
AU - Kanna, Sithan
AU - Douglas, Scott C.
AU - Mandic, Danilo P.
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/5/18
Y1 - 2016/5/18
N2 - Widely linear processing has been shown to be superior to the traditional strictly linear processing in quaternion minimum mean square error (MMSE) estimation. However, a quantifiable performance difference between strictly and widely linear processing and the relationship between the performance and quaternion impropriety are still lacking. To this end, we present a proof for the performance advantage of widely linear estimation and relate the performance bounds to signal properties by exploiting the approximate joint diagonalisation of quaternion covariance matrices. In that sense, this work can be seen as a generalisation of complex-valued MMSE estimation, and can thus also be applied to the complex-valued case. Simulations on synthetic signals support the analysis.
AB - Widely linear processing has been shown to be superior to the traditional strictly linear processing in quaternion minimum mean square error (MMSE) estimation. However, a quantifiable performance difference between strictly and widely linear processing and the relationship between the performance and quaternion impropriety are still lacking. To this end, we present a proof for the performance advantage of widely linear estimation and relate the performance bounds to signal properties by exploiting the approximate joint diagonalisation of quaternion covariance matrices. In that sense, this work can be seen as a generalisation of complex-valued MMSE estimation, and can thus also be applied to the complex-valued case. Simulations on synthetic signals support the analysis.
KW - impropriety
KW - minimum mean square error (MMSE)
KW - Quaternion estimation
KW - widely linear modelling
UR - https://www.scopus.com/pages/publications/84973301118
U2 - 10.1109/ICASSP.2016.7472498
DO - 10.1109/ICASSP.2016.7472498
M3 - 会议稿件
AN - SCOPUS:84973301118
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 4348
EP - 4352
BT - 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 20 March 2016 through 25 March 2016
ER -