Adaptive Filter Coefficient

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S.m. Ghosh - One of the best experts on this subject based on the ideXlab platform.

  • Generation of multidimensional variable step size sequential Adaptive gradient algorithms with identification and noise cancellation applications
    1991. IEEE International Sympoisum on Circuits and Systems, 1991
    Co-Authors: W.b. Mikhael, S.m. Ghosh
    Abstract:

    The development of two-dimensional, gradient-based sequential algorithms with applications in 2-D system identification and noise cancellation is addressed. Existing gradient sequential algorithms use a convergence factor which is used to adjust the two-dimensional Adaptive Filter Coefficients at each iteration. The performance of the algorithm depends entirely on the accuracy of the estimated convergence factor. The objective of the present work is to derive the optimality criterion governing the choice of the convergence factor in the case of 2-D gradient-based sequential algorithms. The 2-D variable step-size sequential algorithms meeting the above constraint are proposed and investigated: the 2-D individual Adaptive (TDIA) and the 2-D homogeneous Adaptive (TDHA) algorithms. The TDIA algorithm uses optimal convergence factors tailored for each 2-D Adaptive Filter Coefficient at each iteration. The TDHA algorithm uses the same convergence factor for all Coefficients but is optimally updated at each iteration.

  • Two-dimensional variable step-size sequential Adaptive gradient algorithms with applications
    IEEE Transactions on Circuits and Systems, 1991
    Co-Authors: W.b. Mikhael, S.m. Ghosh
    Abstract:

    The optimality criterion governing the choice of the convergence factor for the 2-D sequential Adaptive gradient algorithms is developed. Two 2-D variable step-size sequential algorithms satisfying the proposed optimality constraint are derived and investigated. These are the 2-D individual adaptation (TDIA) algorithm and the 2-D homogeneous adaptation (TDHA) algorithm. The TDIA algorithm uses 2-D optimal convergence factors tailored for each 2-D Adaptive Filter Coefficient at each iteration. The TDHA algorithm uses the same convergence factor for all the Filter Coefficients, but the convergence factor is optimally updated at each iteration. Neither algorithm requires any a priori knowledge about the statistics of the system signals. In addition, the convergence factors are easily obtained from readily available signals without any differentiation or matrix inversions. The convergence characteristics and adaptation accuracy are greatly improved at the expense of a modest increase in computational complexity.

Dennis R. Morgan - One of the best experts on this subject based on the ideXlab platform.

  • A PNLMS Algorithm With Individual Activation Factors
    IEEE Transactions on Signal Processing, 2010
    Co-Authors: Francisco Das Chagas De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using individual activation factors for each Adaptive Filter Coefficient, instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, are recursively updated. This approach leads to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.

  • EUSIPCO - Alternative approach for computing the activation factor of the PNLMS algorithm
    2009
    Co-Authors: Francisco Das Chagas De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using an individual activation factor for each Adaptive Filter Coefficient. Such strategy is used instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, lead to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.

  • Alternative approach for computing the activation factor of the PNLMS algorithm
    2009 17th European Signal Processing Conference, 2009
    Co-Authors: Francisco Das C. De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using an individual activation factor for each Adaptive Filter Coefficient. Such strategy is used instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, lead to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.

W.b. Mikhael - One of the best experts on this subject based on the ideXlab platform.

  • Generation of multidimensional variable step size sequential Adaptive gradient algorithms with identification and noise cancellation applications
    1991. IEEE International Sympoisum on Circuits and Systems, 1991
    Co-Authors: W.b. Mikhael, S.m. Ghosh
    Abstract:

    The development of two-dimensional, gradient-based sequential algorithms with applications in 2-D system identification and noise cancellation is addressed. Existing gradient sequential algorithms use a convergence factor which is used to adjust the two-dimensional Adaptive Filter Coefficients at each iteration. The performance of the algorithm depends entirely on the accuracy of the estimated convergence factor. The objective of the present work is to derive the optimality criterion governing the choice of the convergence factor in the case of 2-D gradient-based sequential algorithms. The 2-D variable step-size sequential algorithms meeting the above constraint are proposed and investigated: the 2-D individual Adaptive (TDIA) and the 2-D homogeneous Adaptive (TDHA) algorithms. The TDIA algorithm uses optimal convergence factors tailored for each 2-D Adaptive Filter Coefficient at each iteration. The TDHA algorithm uses the same convergence factor for all Coefficients but is optimally updated at each iteration.

  • Two-dimensional variable step-size sequential Adaptive gradient algorithms with applications
    IEEE Transactions on Circuits and Systems, 1991
    Co-Authors: W.b. Mikhael, S.m. Ghosh
    Abstract:

    The optimality criterion governing the choice of the convergence factor for the 2-D sequential Adaptive gradient algorithms is developed. Two 2-D variable step-size sequential algorithms satisfying the proposed optimality constraint are derived and investigated. These are the 2-D individual adaptation (TDIA) algorithm and the 2-D homogeneous adaptation (TDHA) algorithm. The TDIA algorithm uses 2-D optimal convergence factors tailored for each 2-D Adaptive Filter Coefficient at each iteration. The TDHA algorithm uses the same convergence factor for all the Filter Coefficients, but the convergence factor is optimally updated at each iteration. Neither algorithm requires any a priori knowledge about the statistics of the system signals. In addition, the convergence factors are easily obtained from readily available signals without any differentiation or matrix inversions. The convergence characteristics and adaptation accuracy are greatly improved at the expense of a modest increase in computational complexity.

Rui Seara - One of the best experts on this subject based on the ideXlab platform.

  • A PNLMS Algorithm With Individual Activation Factors
    IEEE Transactions on Signal Processing, 2010
    Co-Authors: Francisco Das Chagas De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using individual activation factors for each Adaptive Filter Coefficient, instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, are recursively updated. This approach leads to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.

  • EUSIPCO - Alternative approach for computing the activation factor of the PNLMS algorithm
    2009
    Co-Authors: Francisco Das Chagas De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using an individual activation factor for each Adaptive Filter Coefficient. Such strategy is used instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, lead to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.

  • Alternative approach for computing the activation factor of the PNLMS algorithm
    2009 17th European Signal Processing Conference, 2009
    Co-Authors: Francisco Das C. De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using an individual activation factor for each Adaptive Filter Coefficient. Such strategy is used instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, lead to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.

Orlando José Tobias - One of the best experts on this subject based on the ideXlab platform.

  • A PNLMS Algorithm With Individual Activation Factors
    IEEE Transactions on Signal Processing, 2010
    Co-Authors: Francisco Das Chagas De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using individual activation factors for each Adaptive Filter Coefficient, instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, are recursively updated. This approach leads to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.

  • EUSIPCO - Alternative approach for computing the activation factor of the PNLMS algorithm
    2009
    Co-Authors: Francisco Das Chagas De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using an individual activation factor for each Adaptive Filter Coefficient. Such strategy is used instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, lead to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.

  • Alternative approach for computing the activation factor of the PNLMS algorithm
    2009 17th European Signal Processing Conference, 2009
    Co-Authors: Francisco Das C. De Souza, Orlando José Tobias, Rui Seara, Dennis R. Morgan
    Abstract:

    This paper presents a proportionate normalized least-mean-square (PNLMS) algorithm using an individual activation factor for each Adaptive Filter Coefficient. Such strategy is used instead of a global activation factor as in the standard PNLMS algorithm. The proposed individual activation factors, determined in terms of the corresponding Adaptive Filter Coefficients, lead to a better distribution of the adaptation energy over the Filter Coefficients than the standard PNLMS does. Thereby, for impulse responses exhibiting high sparseness, the proposed algorithm achieves faster convergence, outperforming both the PNLMS and improved PNLMS (IPNLMS) algorithms.