quaternion adaptive filters (QAFs) are extensively used in processing three- or four-dimensional signals effectively. However, their performance can significantly deteriorate or even diverge when system inputs and out...
详细信息
quaternion adaptive filters (QAFs) are extensively used in processing three- or four-dimensional signals effectively. However, their performance can significantly deteriorate or even diverge when system inputs and outputs are contaminated by complex noises. Therefore, this letter addresses the issue of parameter estimation in the quaternionerrors-in-variables (QEIV) in asymmetric noise. First, a novel robust criterion, called improved quaternion minimum error entropy criterion with fiducial points (IQMEEF), is constructed. Then, a minimum total quaternion error entropy algorithm with fiducial points (MTQEEF) is proposed by integrating the IQMEEF criterion with the total least squares (TLS) method, leveraging stochastic gradient and quaternion generalized Hamilton-real (GHR) calculus theory. Finally, simulations validate the superior performance of MTQEEF in the QEIV model under asymmetric noise environments.
quaternion adaptive filters have been widely used in processing three-dimensional (3-D) and 4-D signals. To improve the filtering performance of quaternion adaptive filtering algorithms when both the input and output ...
详细信息
quaternion adaptive filters have been widely used in processing three-dimensional (3-D) and 4-D signals. To improve the filtering performance of quaternion adaptive filtering algorithms when both the input and output signals are disturbed by non-Gaussian noises, this brief addresses the issue of quaternion parameter estimation in the quaternionerrors-in-variables (QEIV) model. First a novel maximum total quaternion generalized correntropy (MTQGC) criterion is proposed to resist non-Gaussian noises. And the stochastic gradient method is used to implement the quaternion parameter estimation. Then, combined with the total least squares (TLS) method, an MTQGC algorithm is proposed using quaternion generalized Hamilton-real (GHR) calculus. Moreover, the convergence condition of the proposed MTQGC algorithm is obtained. Finally, simulations demonstrate the improved filtering performance in the QEIV model.
暂无评论