Adaptive Frequency-Domain Normalized Implementations of Widely-Linear Complex-Valued Filter
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
---|---|
Pages (from-to) | 5801-5814 |
Journal / Publication | IEEE Transactions on Signal Processing |
Volume | 69 |
Online published | 14 Oct 2021 |
Publication status | Published - 2021 |
Link(s)
Abstract
The widely-linear complex-valued least-mean-square (WL-CLMS) algorithm exhibits slow convergence in the presence of non-circular and highly correlated filter input signals. To tackle such an issue with reduced computational complexity, this paper introduces adaptive frequency-domain normalized implementations of widely-linear complex-valued filter. Two normalized algorithms are firstly devised based on the circulant matrices of weight coefficients and the regression vector, respectively. In the design, the normalization matrix using the second-order complementary statistical information of the input signal helps increase the algorithm convergence speed. Then, mean-square and complementary mean-square performance of periodic update frequency-domain widely-linear NLMS (P-FDWL-NLMS) algorithm for non-circular complex signals is analyzed. In addition, by introducing a variable-periodic (VP) mechanism, we propose the VP-FDWL-NLMS method that provides faster convergence than the P-FDWL-NLMS scheme. Computer simulation results show the superiority of the proposed approach over the fullband widely-linear complex-valued least-mean-square, augmented affine projection algorithm and its variable step-size version, in terms of both complexity and convergence rate.
Research Area(s)
- Adaptation models, Adaptive filter, Adaptive filters, Convergence, Filtering algorithms, frequency domain, Frequency-domain analysis, Information filters, mean-square analysis, Signal processing algorithms, variable-periodic method, widely-linear model
Citation Format(s)
Adaptive Frequency-Domain Normalized Implementations of Widely-Linear Complex-Valued Filter. / Zhang, Sheng; Zhang, Jiashu; Xia, Yili et al.
In: IEEE Transactions on Signal Processing, Vol. 69, 2021, p. 5801-5814.
In: IEEE Transactions on Signal Processing, Vol. 69, 2021, p. 5801-5814.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review