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We propose a novel multikernel adaptive filtering algorithm based on the iterative projections in the sum space of reproducing kernel Hilbert spaces. We employ linear and Gaussian kernels, envisioning an application to partially-linear-system identification/estimation. The algorithm is derived by reformulating the hyperplane projection along affine subspace (HYPASS) algorithm in the sum space. The...
This paper aims at the H∞ fixed-interval smoothing problem for linear continuous-time systems with l + 1 time-delay observations. Such problem will be converted into H2 fixed-interval smoothing problem for linear time-delay systems in indefinite space. Therefore, the H∞ fixed-interval smoothing problem is solved by using the orthogonal projection theory in indefinite space, and the fixed-interval...
The space-frequency-polarization (SFP) beam-former using an electromagnetic vector sensor was studied in this paper. An improved robust beamformer algorithm was put forward which was based on Capon and joint constraint. As the three domains joint information was used, the SFP beamformer substantially outperforms any two-domain joint beamformer. Finally, Simulation results verified the effectiveness...
Besides basis expansions, frames representations play a key role in signal processing. We thus consider the problem of frame domain signal processing, which is more complex and challenging than transform domain processing. Examples of such processing abound, from overlap-add/save convolution, to frequency domain LMS, and frame magnitude reconstruction. We develop a unified view of all these situations...
The behavior of over-determined blind source separation(ODBSS) algorithm with unknown number of sources, proposed by Cichocki et al. is analyzed. It is found it is the redundant movement of demixing matrix among an equivalent class that causes the divergence of the algorithm. We cancel the redundant component among natural gradient, which corresponding to the redundant movement of the demixing matrix,...
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