Sayed, Ali H.Rupp, Markus2017-12-192017-12-192017-12-19199610.1109/78.533719https://infoscience.epfl.ch/handle/20.500.14299/142910The paper establishes robustness, optimality, and convergence properties of the widely used class of instantaneous-gradient adaptive algorithms. The analysis is carried out in a purely deterministic framework and assumes no a priori statistical information. It employs the Cauchy-Schwarz inequality for vectors in an Euclidean space and derives local and global error-energy bounds that are shown to highlight, as well as explain, relevant aspects of the robust performance of adaptive gradient filters (along the lines of H/sup /spl infin// theory).text::journal::journal article::research article