System Identification Problem

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Silviu Ciochina - One of the best experts on this subject based on the ideXlab platform.

  • A Proportionate Affine Projection Algorithm for the Identification of Sparse Bilinear Forms
    2019 International Symposium on Signals Circuits and Systems (ISSCS), 2019
    Co-Authors: Laura Maria Dogariu, Camelia Elisei-iliescu, Constantin Paleologu, Jacob Benesty, Silviu Ciochina
    Abstract:

    Identification of sparse impulse responses was addressed mainly in the last two decades with the development of the so-called “proportionate”-type algorithms. These algorithms are meant to exploit the sparseness of the Systems that need to be identified, with the purpose of improving the convergence rate and tracking of the conventional adaptive algorithms used in this framework. Nevertheless, the System Identification Problem becomes more challenging when the parameter space is large. This issue can be addressed with tensor decompositions and modelling. In this paper, we aim to identify sparse bilinear forms, in which the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In this context, we derive a proportionate affine projection algorithm for the Identification of such bilinear forms. Experimental results highlight the good behavior of the proposed solution.

  • a recursive least squares algorithm based on the nearest kronecker product decomposition
    International Conference on Acoustics Speech and Signal Processing, 2019
    Co-Authors: Camelia Eliseiiliescu, Jacob Benesty, Constantin Paleologu, Silviu Ciochina
    Abstract:

    The recursive least-squares (RLS) adaptive filter is an appealing choice in System Identification Problems, mainly due to its fast convergence rate. However, this algorithm is computationally very complex, which may make it useless for the Identification of high length impulse responses, like in echo cancellation. In this paper, we focus on a new approach to improve the efficiency of the RLS algorithm. The basic idea is to exploit the impulse response decomposition based on the nearest Kronecker product and low-rank approximation. Thus, a high-dimension System Identification Problem is reformulated in terms of low-dimension Problems, which are tensorized together. Simulations performed in the context of echo cancellation indicate the good performance of the RLS algorithm based on this approach.

  • ICASSP - A Recursive Least-squares Algorithm Based on the Nearest Kronecker Product Decomposition
    ICASSP 2019 - 2019 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP), 2019
    Co-Authors: Camelia Elisei-iliescu, Constantin Paleologu, Jacob Benesty, Silviu Ciochina
    Abstract:

    The recursive least-squares (RLS) adaptive filter is an appealing choice in System Identification Problems, mainly due to its fast convergence rate. However, this algorithm is computationally very complex, which may make it useless for the Identification of high length impulse responses, like in echo cancellation. In this paper, we focus on a new approach to improve the efficiency of the RLS algorithm. The basic idea is to exploit the impulse response decomposition based on the nearest Kronecker product and low-rank approximation. Thus, a high-dimension System Identification Problem is reformulated in terms of low-dimension Problems, which are tensorized together. Simulations performed in the context of echo cancellation indicate the good performance of the RLS algorithm based on this approach.

  • Regularized Recursive Least-Squares Algorithms for the Identification of Bilinear Forms
    2018 International Symposium on Electronics and Telecommunications (ISETC), 2018
    Co-Authors: Camelia Elisei-iliescu, Silviu Ciochina, Cristian Stanciu, Cristian Anghel, Constantin Paleologu, Jacob Benesty
    Abstract:

    The System Identification Problem is more challenging when the parameter space becomes large. This paper addresses the Identification of bilinear Systems based on the regularized recursive least-squares algorithm. Here, the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In order to improve the robustness of the algorithm in noisy environments, a variable-regularized version is also developed, where the regularization parameters are adjusted using an estimation of the signal-to-noise ratio. Simulation results outline the appealing features of these algorithms.

  • TSP - A Proportionate NLMS Algorithm for the Identification of Sparse Bilinear Forms
    2018 41st International Conference on Telecommunications and Signal Processing (TSP), 2018
    Co-Authors: Constantin Paleologu, Camelia Elisei-iliescu, Cristian Stanciu, Cristian Anghel, Jacob Benesty, Silviu Ciochina
    Abstract:

    Proportionate-type algorithms are designed to exploit the sparseness character of the Systems to be identified, in order to improve the overall convergence of the adaptive filters used in this context. However, when the parameter space is large, the System Identification Problem becomes more challenging. In this paper, we focus on the Identification of bilinear forms, where the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In this framework, we develop a proportionate normalized least-mean-square algorithm tailored for the Identification of such bilinear forms. Simulation results indicate the good performance of the proposed algorithm, in terms of both convergence rate and computational complexity.

Jacob Benesty - One of the best experts on this subject based on the ideXlab platform.

  • A Proportionate Affine Projection Algorithm for the Identification of Sparse Bilinear Forms
    2019 International Symposium on Signals Circuits and Systems (ISSCS), 2019
    Co-Authors: Laura Maria Dogariu, Camelia Elisei-iliescu, Constantin Paleologu, Jacob Benesty, Silviu Ciochina
    Abstract:

    Identification of sparse impulse responses was addressed mainly in the last two decades with the development of the so-called “proportionate”-type algorithms. These algorithms are meant to exploit the sparseness of the Systems that need to be identified, with the purpose of improving the convergence rate and tracking of the conventional adaptive algorithms used in this framework. Nevertheless, the System Identification Problem becomes more challenging when the parameter space is large. This issue can be addressed with tensor decompositions and modelling. In this paper, we aim to identify sparse bilinear forms, in which the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In this context, we derive a proportionate affine projection algorithm for the Identification of such bilinear forms. Experimental results highlight the good behavior of the proposed solution.

  • a recursive least squares algorithm based on the nearest kronecker product decomposition
    International Conference on Acoustics Speech and Signal Processing, 2019
    Co-Authors: Camelia Eliseiiliescu, Jacob Benesty, Constantin Paleologu, Silviu Ciochina
    Abstract:

    The recursive least-squares (RLS) adaptive filter is an appealing choice in System Identification Problems, mainly due to its fast convergence rate. However, this algorithm is computationally very complex, which may make it useless for the Identification of high length impulse responses, like in echo cancellation. In this paper, we focus on a new approach to improve the efficiency of the RLS algorithm. The basic idea is to exploit the impulse response decomposition based on the nearest Kronecker product and low-rank approximation. Thus, a high-dimension System Identification Problem is reformulated in terms of low-dimension Problems, which are tensorized together. Simulations performed in the context of echo cancellation indicate the good performance of the RLS algorithm based on this approach.

  • ICASSP - A Recursive Least-squares Algorithm Based on the Nearest Kronecker Product Decomposition
    ICASSP 2019 - 2019 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP), 2019
    Co-Authors: Camelia Elisei-iliescu, Constantin Paleologu, Jacob Benesty, Silviu Ciochina
    Abstract:

    The recursive least-squares (RLS) adaptive filter is an appealing choice in System Identification Problems, mainly due to its fast convergence rate. However, this algorithm is computationally very complex, which may make it useless for the Identification of high length impulse responses, like in echo cancellation. In this paper, we focus on a new approach to improve the efficiency of the RLS algorithm. The basic idea is to exploit the impulse response decomposition based on the nearest Kronecker product and low-rank approximation. Thus, a high-dimension System Identification Problem is reformulated in terms of low-dimension Problems, which are tensorized together. Simulations performed in the context of echo cancellation indicate the good performance of the RLS algorithm based on this approach.

  • Regularized Recursive Least-Squares Algorithms for the Identification of Bilinear Forms
    2018 International Symposium on Electronics and Telecommunications (ISETC), 2018
    Co-Authors: Camelia Elisei-iliescu, Silviu Ciochina, Cristian Stanciu, Cristian Anghel, Constantin Paleologu, Jacob Benesty
    Abstract:

    The System Identification Problem is more challenging when the parameter space becomes large. This paper addresses the Identification of bilinear Systems based on the regularized recursive least-squares algorithm. Here, the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In order to improve the robustness of the algorithm in noisy environments, a variable-regularized version is also developed, where the regularization parameters are adjusted using an estimation of the signal-to-noise ratio. Simulation results outline the appealing features of these algorithms.

  • TSP - A Proportionate NLMS Algorithm for the Identification of Sparse Bilinear Forms
    2018 41st International Conference on Telecommunications and Signal Processing (TSP), 2018
    Co-Authors: Constantin Paleologu, Camelia Elisei-iliescu, Cristian Stanciu, Cristian Anghel, Jacob Benesty, Silviu Ciochina
    Abstract:

    Proportionate-type algorithms are designed to exploit the sparseness character of the Systems to be identified, in order to improve the overall convergence of the adaptive filters used in this context. However, when the parameter space is large, the System Identification Problem becomes more challenging. In this paper, we focus on the Identification of bilinear forms, where the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In this framework, we develop a proportionate normalized least-mean-square algorithm tailored for the Identification of such bilinear forms. Simulation results indicate the good performance of the proposed algorithm, in terms of both convergence rate and computational complexity.

Constantin Paleologu - One of the best experts on this subject based on the ideXlab platform.

  • A Proportionate Affine Projection Algorithm for the Identification of Sparse Bilinear Forms
    2019 International Symposium on Signals Circuits and Systems (ISSCS), 2019
    Co-Authors: Laura Maria Dogariu, Camelia Elisei-iliescu, Constantin Paleologu, Jacob Benesty, Silviu Ciochina
    Abstract:

    Identification of sparse impulse responses was addressed mainly in the last two decades with the development of the so-called “proportionate”-type algorithms. These algorithms are meant to exploit the sparseness of the Systems that need to be identified, with the purpose of improving the convergence rate and tracking of the conventional adaptive algorithms used in this framework. Nevertheless, the System Identification Problem becomes more challenging when the parameter space is large. This issue can be addressed with tensor decompositions and modelling. In this paper, we aim to identify sparse bilinear forms, in which the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In this context, we derive a proportionate affine projection algorithm for the Identification of such bilinear forms. Experimental results highlight the good behavior of the proposed solution.

  • a recursive least squares algorithm based on the nearest kronecker product decomposition
    International Conference on Acoustics Speech and Signal Processing, 2019
    Co-Authors: Camelia Eliseiiliescu, Jacob Benesty, Constantin Paleologu, Silviu Ciochina
    Abstract:

    The recursive least-squares (RLS) adaptive filter is an appealing choice in System Identification Problems, mainly due to its fast convergence rate. However, this algorithm is computationally very complex, which may make it useless for the Identification of high length impulse responses, like in echo cancellation. In this paper, we focus on a new approach to improve the efficiency of the RLS algorithm. The basic idea is to exploit the impulse response decomposition based on the nearest Kronecker product and low-rank approximation. Thus, a high-dimension System Identification Problem is reformulated in terms of low-dimension Problems, which are tensorized together. Simulations performed in the context of echo cancellation indicate the good performance of the RLS algorithm based on this approach.

  • ICASSP - A Recursive Least-squares Algorithm Based on the Nearest Kronecker Product Decomposition
    ICASSP 2019 - 2019 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP), 2019
    Co-Authors: Camelia Elisei-iliescu, Constantin Paleologu, Jacob Benesty, Silviu Ciochina
    Abstract:

    The recursive least-squares (RLS) adaptive filter is an appealing choice in System Identification Problems, mainly due to its fast convergence rate. However, this algorithm is computationally very complex, which may make it useless for the Identification of high length impulse responses, like in echo cancellation. In this paper, we focus on a new approach to improve the efficiency of the RLS algorithm. The basic idea is to exploit the impulse response decomposition based on the nearest Kronecker product and low-rank approximation. Thus, a high-dimension System Identification Problem is reformulated in terms of low-dimension Problems, which are tensorized together. Simulations performed in the context of echo cancellation indicate the good performance of the RLS algorithm based on this approach.

  • Regularized Recursive Least-Squares Algorithms for the Identification of Bilinear Forms
    2018 International Symposium on Electronics and Telecommunications (ISETC), 2018
    Co-Authors: Camelia Elisei-iliescu, Silviu Ciochina, Cristian Stanciu, Cristian Anghel, Constantin Paleologu, Jacob Benesty
    Abstract:

    The System Identification Problem is more challenging when the parameter space becomes large. This paper addresses the Identification of bilinear Systems based on the regularized recursive least-squares algorithm. Here, the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In order to improve the robustness of the algorithm in noisy environments, a variable-regularized version is also developed, where the regularization parameters are adjusted using an estimation of the signal-to-noise ratio. Simulation results outline the appealing features of these algorithms.

  • TSP - A Proportionate NLMS Algorithm for the Identification of Sparse Bilinear Forms
    2018 41st International Conference on Telecommunications and Signal Processing (TSP), 2018
    Co-Authors: Constantin Paleologu, Camelia Elisei-iliescu, Cristian Stanciu, Cristian Anghel, Jacob Benesty, Silviu Ciochina
    Abstract:

    Proportionate-type algorithms are designed to exploit the sparseness character of the Systems to be identified, in order to improve the overall convergence of the adaptive filters used in this context. However, when the parameter space is large, the System Identification Problem becomes more challenging. In this paper, we focus on the Identification of bilinear forms, where the bilinear term is defined with respect to the impulse responses of a spatiotemporal model. In this framework, we develop a proportionate normalized least-mean-square algorithm tailored for the Identification of such bilinear forms. Simulation results indicate the good performance of the proposed algorithm, in terms of both convergence rate and computational complexity.

Wang Jun - One of the best experts on this subject based on the ideXlab platform.

Zhang Yuan - One of the best experts on this subject based on the ideXlab platform.