Transient analysis of adaptive filters
نویسندگان
چکیده
This paper develops a framework for the mean-square analysis of adaptive lters with general data and error nonlinearities. The approach relies on energy conservation arguments and is carried out without restrictions on the probability distribution of the input sequence. In particular, for adaptive lters with diagonal matrix nonlinearities, we provide closed form expressions for the steady-state performance and necessary and suu-cient conditions for stability. We carry out a similar study for long adaptive lters that employ error nonlin-earities relying on a weaker form of the independence assumption. We provide expressions for the steady-state error and bounds on the step-size for stability by exploiting the Cramer-Rao bound of the underlying estimation process.
منابع مشابه
Transient analysis of adaptive filters with error nonlinearities
This paper develops a unified approach to the transient analysis of adaptive filters with error nonlinearities. In addition to deriving earlier results in a unified manner, the approach also leads to new performance results without restricting the regression data to being Gaussian or white. The framework is based on energy-conservation arguments and avoids the need for explicit recursions for t...
متن کاملOutput signal based combination of two NLMS adaptive filters – transient analysis
A combination of two complex normalized least mean square (NLMS) adaptive filters that adapt on the same input signal at the same time is investigated. One of the filters has a large and the other one has a small step size. The outputs of the filters are combined together through a mixing parameter λ . This combination is an interesting new way of achieving simultaneously a fast initial converg...
متن کاملDesing And Implementation of Adaptive Active Filters for Exact Estimation And Elimination of AC Network Distortions
In recent years, active filters have been considered and developed for elimation of harmonics in power networks. Comparing with passive, they are smaller and have better compensating characteristics and resistance to line distortions. In this paper, a novel idea based on adaptive filter theory in presented to develop an active filter to eliminate the distortions of an arbitrary signal. Using th...
متن کاملDesing And Implementation of Adaptive Active Filters for Exact Estimation And Elimination of AC Network Distortions
In recent years, active filters have been considered and developed for elimation of harmonics in power networks. Comparing with passive, they are smaller and have better compensating characteristics and resistance to line distortions. In this paper, a novel idea based on adaptive filter theory in presented to develop an active filter to eliminate the distortions of an arbitrary signal. Using th...
متن کاملAdaptive Line Enhancement Using a Parallel IIR Filter with A Step-By-step Algorithm
A step-by-step algorithm for enhancement of periodic signals that are highly corrupted by additive uncorrelated white gausian noise is proposed. In each adaptation step a new parallel second-order section is added to the previous filters. Every section has only one adjustable parameter, i.e., the center frequency of the self-tuning filter. The bandwidth and the convergence factor of each secti...
متن کاملTransient analysis of data-normalized adaptive filters
This paper develops an approach to the transient analysis of adaptive filters with data normalization. Among other results, the derivation characterizes the transient behavior of such filters in terms of a linear time-invariant state-space model. The stability of the model then translates into the mean-square stability of the adaptive filters. Likewise, the steady-state operation of the model p...
متن کامل