An Augmented Complex-Valued Least-Mean Kurtosis Algorithm for the Filtering of Noncircular Signals


Menguc E. C. , Acir N.

IEEE TRANSACTIONS ON SIGNAL PROCESSING, cilt.66, sa.2, ss.438-448, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 66 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1109/tsp.2017.2768024
  • Dergi Adı: IEEE TRANSACTIONS ON SIGNAL PROCESSING
  • Sayfa Sayıları: ss.438-448

Özet

In this paper, a novel augmented complex-valued least-mean kurtosis (ACLMK) algorithm is proposed for processing complex-valued signals. The negated kurtosis of the complex-valued error signal is defined as a cost function by using augmented statistics. As a result of the minimization of this cost function, the ACLMK algorithm containing all second-order statistical properties is obtained for processing noncircular complex-valued signals. Moreover, in this paper, convergence and misadjustment conditions of the proposed ACLMK algorithm are derived from the steady-state analysis. The simulation results on complex-valued system identification, prediction, and adaptive noise cancelling problems show that the use of the cost function defined by the negated kurtosis of the complex-valued error signal based on augmented statistics enables the processing of the noncircular complex-valued signals, and significantly improves the performance of the proposed ACLMK algorithm in terms of the mean square deviation, the mean square error, the prediction gain and the convergence rate when compared to other algorithms.