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Journal ArticleDOI

A system identification algorithm using orthogonal functions

H. Perez, +1 more
- 01 Mar 1991 - 
- Vol. 39, Iss: 3, pp 752-755
TLDR
Computer simulations in which the proposed adaptive filter structure is used to identify actual acoustic echo path impulse responses show that the Legendre ADF has better convergence performance than the transversal ADF when identifying systems with long impulse response.
Abstract
An adaptive filter (ADF) structure is proposed for applications in which large-order ADFs are required. It is based on modeling the impulse response of the system to be identified as a linear combination of a set of discrete Legendre orthogonal functions. The proposed adaptive filter structure has desirable stability features and a unimodal mean-square error surface as well as a modular structure that permits an easy increase of the filter order without changing the previous stages. Computer simulations in which the proposed structure is used to identify actual acoustic echo path impulse responses show that the Legendre ADF has better convergence performance than the transversal ADF when identifying systems with long impulse response. >

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Citations
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Journal ArticleDOI

The gamma-filter-a new class of adaptive IIR filters with restricted feedback

TL;DR: Generalized feedforward filters, a class of adaptive filters that combines attractive properties of finite impulse response filters with some of the power of infinite impulse response filter filters, are described and preliminary results indicate that the gamma filter is more efficient than the adaptive transversal filter.
Journal ArticleDOI

Orthonormal basis functions for modelling continuous-time systems

TL;DR: It is established that the obtained model sets are complete in all of the Hardy spaces H p (P), 1(p(R, and the right half plane algebra A(P) provided that a mild condition on the choice of basis poles is satis"ed.
Journal ArticleDOI

On the determination of the optimal pole position of Laguerre filters

TL;DR: A very efficient way to compute the derivatives of each one of these coefficients with respect to the pole position of the Laguerre filter is described, making possible the computation of high-order approximations to the coefficients in question, such as truncated Taylor series and Pade approximants.
Journal ArticleDOI

Online optimization of the time scale in adaptive Laguerre-based filters

TL;DR: A new online method to optimize the free parameter in adaptive Laguerre-based filters is presented, it is based on the minimization of a criterion that is equivalent to an upper bound for the quadratic approximation error.
References
More filters
Book

Adaptive Signal Processing

TL;DR: This chapter discusses Adaptive Arrays and Adaptive Beamforming, as well as other Adaptive Algorithms and Structures, and discusses the Z-Transform in Adaptive Signal Processing.
Journal ArticleDOI

Estimation and classification of polynomial-phase signals

TL;DR: A novel new integral transform that is adapted for signals of this type is introduced and used to derive estimation and classification algorithms that are simple to implement and that exhibit good performance.
Journal ArticleDOI

Transient synthesis in the time domain

TL;DR: This method, which is based upon the use of orthogonal exponential functions, is carried out prin- cipally by time-domain rather than the more common frequency- domain operations.