Digital adaptive filters: Conditions for convergence, rates of convergence, effects of noise and errors arising from the implementation

@article{Weiss1979DigitalAF,
  title={Digital adaptive filters: Conditions for convergence, rates of convergence, effects of noise and errors arising from the implementation},
  author={Alan Weiss and Debasis Mitra},
  journal={IEEE Trans. Information Theory},
  year={1979},
  volume={25},
  pages={637-652}
}
where i(r)$t)‘x(t) and K is the control loop gain. ‘Ibe effectiveness of tbe fik is deter@ned by the convergence propert ies of the mMignment vector f(f) = h-h(r). It is shown that a certain nondegeneracy “mixh@ condit ion on the input {x(r)} is necess~ly and sufficient for the exponentid convqence of the misaiignment. Quaiitativeiy identical upper and lower bounds are der ived for the rate of convergence. Situations where noise is present in z(r) and x(r) and the coefficient vector h is t ime… CONTINUE READING
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