Widely Linear Quaternion-Valued Least-Mean Kurtosis Algorithm
Küçük Resim Yok
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
IEEE-Inst Electrical Electronics Engineers Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A widely linear quaternion-valued least-mean kurtosis (WL-QLMK) algorithm is introduced for adaptive filtering of quaternion-valued circular and noncircular signals. In the design, kurtosis-based cost function is first defined in the quaternion domain by integrating the widely linear model, and augmented statistics, and then minimized using the recently developed generalized Hamilton-real (GHR) calculus. In this way, the novel WL-QLMK algorithm is obtained for training quaternion-valued adaptive filter structures. Furthermore, its steady-state performance is theoretically analyzed to determine the bounds of the step size, which provides a theoretical justification for simulations. The simulation results over both benchmark system identification scenarios, and one-step-ahead predictions of real-world 4D pathological resting tremors show that the proposed WL-QLMK algorithm, by virtue of its newly defined cost function, significantly enhances the performance compared to the recently developed quaternion-valued algorithms, especially for noncircular signals.
Açıklama
Anahtar Kelimeler
Quaternions, Signal processing algorithms, Calculus, Covariance matrices, Cost function, Adaptation models, Algebra, Adaptive filters, circular and noncircular quaternion signals, least mean kurtosis, strictly linear, widely linear
Kaynak
Ieee Transactions on Signal Processing
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
68
