Multi-output kernel adaptive filtering with reduced complexity

TitleMulti-output kernel adaptive filtering with reduced complexity
Publication TypeConference Paper
Year of Publication2021
AuthorsCuevas, D., and I. Santamaría
Conference NameIEEE Statistical Signal Processing Workshop
Month PublishedJuly
AbstractIn this paper, two new multi-output kernel adaptive filtering algorithms are developed that exploit the temporal and spatial correlations among the input-output multivariate time series. They are multi-output versions of the popular kernel least mean squares (KLMS) algorithm with two different sparsification criteria. The first one, denoted as MO-QKLMS, uses the coherence criterion in order to limit the dictionary size. The second one, denoted as MORFF-KLMS, uses random Fourier features (RFF) to approximate the kernel functions by linear inner products. Simulation results with synthetic and real data are presented to assess convergence speed, steady-state performance and complexities of the proposed algorithms.