Adaptive signal processing algorithms are often used in order to "track" an unknown time-varying parameter vector. This work develops an upper bound on the mean of the norm-squared error between the unknown parameter vector being tracked and the value obtained by the algorithm. The results require very mild covariance decay rate conditions on the training data and a bounded algorithm. The upper bound illustrates the relationship between the algorithm step size and the maximum rate of variation in the parameter vector being tracked.
Published in:
Acoustics, Speech and Signal Processing, IEEE Transactions on
(Volume:29
,
Issue:
3
)
Date of Publication: Jun 1981