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Journal ArticleDOI

Adaptive nonlinear recursive state-space filters

F.X.Y. Gao, +1 more
- 01 Nov 1994 - 
- Vol. 41, Iss: 11, pp 760-764
TLDR
In this article, a nonlinear state-space structure for adaptive nonlinear filters is proposed, where the adaptive filters are recursive and thus generally have an infinite impulse response (IIR).
Abstract
Adaptive nonlinear filters previously reported often employ truncated Volterra series and have a finite impulse response (FIR). This paper introduces a nonlinear state-space structure for adaptive nonlinear filters. The adaptive filters are recursive and thus generally have an infinite impulse response (IIR). They are expected to be useful for many applications and are especially attractive for those with long memories where adaptive nonlinear FIR filters are too expensive to use. Efficient methods, which significantly reduce computation for gradients, have been developed to facilitate further their application in real-time signal processing. Numerical simulations have been performed to demonstrate the properties of the proposed algorithms. >

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Citations
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Total least mean squares algorithm

TL;DR: The paper gives the statistical analysis for this algorithm, studies the global asymptotic convergence ofThis algorithm by an equivalent energy function, and evaluates the performances of this algorithm via computer simulations.
Proceedings ArticleDOI

Limitations of handsfree acoustic echo cancellers due to nonlinear loudspeaker distortion and enclosure vibration effects

TL;DR: In this article, the effect of the loudspeaker nonlinearity and enclosure vibration has on the steady state ERLE performance and concludes that enclosure vibration is an important limitation which, although rarely mentioned in literature, is probably the major limitation in terms of sound quality.
Journal ArticleDOI

Consistent normalized least mean square filtering with noisy data matrix

TL;DR: A consistent LMS-type algorithm is proposed for the data least square estimation problem, based on the geometry of the mean squared error (MSE) function, rendering the step-size normalization and the heuristic filtered estimation of the noise variance, respectively, for fast convergence and robustness to stochastic noise.
Proceedings ArticleDOI

Acoustic echo cancellation using NLMS-neural network structures

TL;DR: Two new acoustic echo canceller models are developed to improve nonlinear performance and demonstrate that both neural network based structures improve the echo return loss enhancement (ERLE) performance compared to a linear NLMS acoustic echo canceer.
References
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Journal ArticleDOI

Second-order Volterra filtering and its application to nonlinear system identification

TL;DR: The utility of the Volterra filter is demonstrated by utilizing it in studies of nonlinear drift oscillations of moored vessels subject to random sea waves.
Journal ArticleDOI

Nonlinear Echo Cancellation of Data Signals

TL;DR: Numerical results based on computer simulation are given which show that typical nonlinearities encountered in MOS D/A converters can be compensated by a relatively small number of taps added to the linear echo canceller, and substantial improvement in the cancellation results.
Journal ArticleDOI

Adaptive IIR filtering: Current results and open issues

TL;DR: A tutorial-style framework is presented for understanding the current status of adaptive infinite-impulse-response (IIR) filters and the structures of provable convergent adaptive algorithms are derived.
Journal ArticleDOI

Adaptive Cancellation of Nonlinear Intersymbol Interference for Voiceband Data Transmission

TL;DR: Two related cancellation techniques based on "tentative" decisions are proposed for removing intersymbol interference, due to channel nonlinearities, for voiceband data transmission, and can offer substantial performance improvements for 16-point QAM systems.
Journal ArticleDOI

Adaptive equalization of channel nonlinearities in QAM data transmission systems

TL;DR: An investigation of a QAM receiver incorporating adaptive equalization of nonlinearities as well as adaptive decision feedback equalization and data-aided carrier recovery for mitigation of linear distortion and phase jitter, respectively is reported on.
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