Notch Filters

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

  • DSL - Adaptive Normal-Form State-Space Notch Filters
    2018 IEEE 23rd International Conference on Digital Signal Processing (DSP), 2018
    Co-Authors: Yoichi Hinamoto, S. Nishimura
    Abstract:

    This paper explores novel adaptive state-space Notch Filters with novel update laws by applying the normal-form state-space realization of a single frequency second-order IIR Notch filter. An adaptive iterative algorithm is obtained by employing a gradient descent method for minimizing the mean-squared output error of an adaptive Notch filter. An alternative adaptive iterative algorithm is found to be a simplified form of the above technique. Moreover, the step-size bound characterized by the gradient of the mean update term is deduced in each case. It is noted that the normal-form state-space realization has minimum pole sensitivity. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive state-space Notch Filters.

  • Adaptive Normal-Form State-Space Notch Filters
    2018 IEEE 23rd International Conference on Digital Signal Processing (DSP), 2018
    Co-Authors: Yoichi Hinamoto, S. Nishimura
    Abstract:

    This paper explores novel adaptive state-space Notch Filters with novel update laws by applying the normal-form state-space realization of a single frequency second-order IIR Notch filter. An adaptive iterative algorithm is obtained by employing a gradient descent method for minimizing the mean-squared output error of an adaptive Notch filter. An alternative adaptive iterative algorithm is found to be a simplified form of the above technique. Moreover, the step-size bound characterized by the gradient of the mean update term is deduced in each case. It is noted that the normal-form state-space realization has minimum pole sensitivity. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive state-space Notch Filters.

  • Frequency and amplitude estimation of noncircular sinusoid using complex adaptive Notch Filters
    2017 IEEE 60th International Midwest Symposium on Circuits and Systems (MWSCAS), 2017
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    In this paper, a technique for estimating frequency and amplitude of noncircular complex sinusoid has been presented. A cascade scheme of first-order complex Notch Filters has been introduced where complex sequence with negative frequency is rejected in the first section and sequence with positive frequency is removed in the second section. Closed-form expressions for bias and mean square error (MSE) for frequency estimation have been presented. By using band-pass outputs of first-order Notch Filters, amplitudes of sinusoidal sequences with positive and negative frequencies have been also estimated. Computer simulations show the effectiveness of the proposed analyses.

  • APCCAS - Normal-form state-space realization of single frequency IIR Notch Filters and its application to adaptive Notch Filters
    2016 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS), 2016
    Co-Authors: Yoichi Hinamoto, S. Nishimura
    Abstract:

    This paper deals with the normal-form state-space realization of second-order IIR Notch Filters. A method for approximately realizing a normal-form state-space model from the transfer function of a single frequency Notch filter is developed. The pole and zero sensitivity of the normal-form state-space model is then analyzed, and it is shown that the normal-form state-space Notch filter has minimum pole sensitivity. In addition, a single frequency adaptive Notch filter is constructed by applying the normal-form state-space model. In this connection, a method for generating gradients required to adjust the coefficients of a normal-form state-space adaptive Notch filter is explored. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive Notch filter.

  • Normal-form state-space realization of single frequency IIR Notch Filters and its application to adaptive Notch Filters
    2016 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS), 2016
    Co-Authors: Yoichi Hinamoto, S. Nishimura
    Abstract:

    This paper deals with the normal-form state-space realization of second-order IIR Notch Filters. A method for approximately realizing a normal-form state-space model from the transfer function of a single frequency Notch filter is developed. The pole and zero sensitivity of the normal-form state-space model is then analyzed, and it is shown that the normal-form state-space Notch filter has minimum pole sensitivity. In addition, a single frequency adaptive Notch filter is constructed by applying the normal-form state-space model. In this connection, a method for generating gradients required to adjust the coefficients of a normal-form state-space adaptive Notch filter is explored. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive Notch filter.

Takao Hinamoto - One of the best experts on this subject based on the ideXlab platform.

  • Frequency and amplitude estimation of noncircular sinusoid using complex adaptive Notch Filters
    2017 IEEE 60th International Midwest Symposium on Circuits and Systems (MWSCAS), 2017
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    In this paper, a technique for estimating frequency and amplitude of noncircular complex sinusoid has been presented. A cascade scheme of first-order complex Notch Filters has been introduced where complex sequence with negative frequency is rejected in the first section and sequence with positive frequency is removed in the second section. Closed-form expressions for bias and mean square error (MSE) for frequency estimation have been presented. By using band-pass outputs of first-order Notch Filters, amplitudes of sinusoidal sequences with positive and negative frequencies have been also estimated. Computer simulations show the effectiveness of the proposed analyses.

  • Frequency estimation in unbalanced three-phase power systems using complex adaptive Notch Filters
    2016 IEEE 59th International Midwest Symposium on Circuits and Systems (MWSCAS), 2016
    Co-Authors: Takao Hinamoto, S. Nishimura
    Abstract:

    This paper presents a steady-state analysis of first-order complex adaptive Notch Filters in unbalanced three-phase power systems. By using first-order difference equation with respect to steady-state estimation error, analytical expressions of estimation bias and amplitude of oscillation error in an unbalanced condition have been derived. Closed-form expressions for bias and amplitude of oscillating error due to third harmonic have been also presented. Computer simulations show the effectiveness of the proposed analyses.

  • Frequency estimation of three-phase power systems using complex adaptive Notch Filters
    2014 IEEE International Symposium on Circuits and Systems (ISCAS), 2014
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    This paper presents a new technique for adaptive estimation of the frequency of unbalanced three-phase power systems using complex coefficient first-order Notch Filters. The input complex sinusoid is given by a sum of sequences with positive and negative frequencies. Analytical expressions of mean square error due to an oscillating error introduced by the sequence with negative frequency and input noise have been derived. Closed form expression for frequency tracking error has been also derived. Computer simulation results are presented to validate the analysis.

  • Oscillator based complex adaptive Notch Filters
    2014 IEEE 57th International Midwest Symposium on Circuits and Systems (MWSCAS), 2014
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    In this paper, a new complex adaptive Notch Filters using the oscillator based algorithm has been proposed. The approach presented for second-order real coefficient IIR Filters has been applied to derive a coefficient-update algorithm for a first-order complex adaptive Notch filter. Convergence characteristics of the proposed algorithm have been analyzed. Unbiased frequency estimation of a complex sinusoid has been achieved by thinning the Notch bandwidth. Computer simulations show the effectiveness of the proposed algorithm.

  • complex adaptive Notch Filters for frequency estimation of three phase power systems
    European Conference on Circuit Theory and Design, 2013
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    This paper presents a new technique for adaptive estimation of the frequency of unbalanced three-phase power systems using complex coefficient first-order Notch Filters. The input complex sinusoid is given by a sum of sequences with positive and negative frequencies. The analytical expression of a estimation error oscillation introduced by the sequence with negative frequency has been derived. Closed form expression for frequency tracking error has been also derived for a complex linear chirp signal. Computer simulation results are presented to validate the analysis.

J. Szczupak - One of the best experts on this subject based on the ideXlab platform.

  • adaptive sinusoid detection using iir Notch Filters and multirate techniques
    IEEE Transactions on Circuits and Systems Ii: Analog and Digital Signal Processing, 1994
    Co-Authors: M R Petraglia, S K Mitra, J. Szczupak
    Abstract:

    In this paper, a new structure for the detection of sinusoids using adaptive IIR Notch Filters and multirate techniques is presented. By using the frequency enhancement property of the decimation in time process, the proposed structure avoids the use of almost unity radius Notch Filters. A stochastic analysis of the convergence properties of the proposed multirate IIR Notch filter structure is discussed. The analysis verifies the low adaptation coefficient variance of the proposed structure, and the small bias in the frequency estimates of multiple sinusoidal signal. Computer simulations show the superior performance of the proposed structure for the detection of closely-spaced sinusoids and tracking of nonstationary sinusoidal signals. >

  • Adaptive sinusoid detection using IIR Notch Filters and multirate techniques
    IEEE International Symposium on Circuits and Systems, 1990
    Co-Authors: S K Mitra, J. Szczupak
    Abstract:

    A structure for the detection of sinusoids using adaptive infinite impulse response (IIR) Notch Filters and multirate techniques is presented. By using the frequency enhancement property of the decimation in time process the structure avoids the use of almost unity radius Notch Filters. Computer simulations are used to demonstrate the performance of this method for the detection of closely spaced sinusoids and tracking of nonstationary signals. The method seems to be particularly useful for real-time and low-cost applications.

Aloys Mvuma - One of the best experts on this subject based on the ideXlab platform.

  • Frequency and amplitude estimation of noncircular sinusoid using complex adaptive Notch Filters
    2017 IEEE 60th International Midwest Symposium on Circuits and Systems (MWSCAS), 2017
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    In this paper, a technique for estimating frequency and amplitude of noncircular complex sinusoid has been presented. A cascade scheme of first-order complex Notch Filters has been introduced where complex sequence with negative frequency is rejected in the first section and sequence with positive frequency is removed in the second section. Closed-form expressions for bias and mean square error (MSE) for frequency estimation have been presented. By using band-pass outputs of first-order Notch Filters, amplitudes of sinusoidal sequences with positive and negative frequencies have been also estimated. Computer simulations show the effectiveness of the proposed analyses.

  • Frequency estimation of three-phase power systems using complex adaptive Notch Filters
    2014 IEEE International Symposium on Circuits and Systems (ISCAS), 2014
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    This paper presents a new technique for adaptive estimation of the frequency of unbalanced three-phase power systems using complex coefficient first-order Notch Filters. The input complex sinusoid is given by a sum of sequences with positive and negative frequencies. Analytical expressions of mean square error due to an oscillating error introduced by the sequence with negative frequency and input noise have been derived. Closed form expression for frequency tracking error has been also derived. Computer simulation results are presented to validate the analysis.

  • Oscillator based complex adaptive Notch Filters
    2014 IEEE 57th International Midwest Symposium on Circuits and Systems (MWSCAS), 2014
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    In this paper, a new complex adaptive Notch Filters using the oscillator based algorithm has been proposed. The approach presented for second-order real coefficient IIR Filters has been applied to derive a coefficient-update algorithm for a first-order complex adaptive Notch filter. Convergence characteristics of the proposed algorithm have been analyzed. Unbiased frequency estimation of a complex sinusoid has been achieved by thinning the Notch bandwidth. Computer simulations show the effectiveness of the proposed algorithm.

  • complex adaptive Notch Filters for frequency estimation of three phase power systems
    European Conference on Circuit Theory and Design, 2013
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    This paper presents a new technique for adaptive estimation of the frequency of unbalanced three-phase power systems using complex coefficient first-order Notch Filters. The input complex sinusoid is given by a sum of sequences with positive and negative frequencies. The analytical expression of a estimation error oscillation introduced by the sequence with negative frequency has been derived. Closed form expression for frequency tracking error has been also derived for a complex linear chirp signal. Computer simulation results are presented to validate the analysis.

  • Adaptive IIR Notch Filters: state-space approach
    2005 IEEE International Symposium on Circuits and Systems, 2005
    Co-Authors: Aloys Mvuma, S. Nishimura, Takao Hinamoto
    Abstract:

    In this paper, a novel state-space approach to the analysis of the effects of roundoff errors on the steady-state characteristics of a gradient algorithm (GA) for a second-order adaptive infinite impulse response (IIR) Notch filter is proposed. First, a general expression for the steady-state sinusoid frequency estimation mean square error (MSE) in terms of state-space matrices of a third-order complex-coefficient system is derived. Then, closed form expressions for direct form and orthogonal adaptive IIR Notch Filters are derived from the general expression. Lastly, computer simulation results are presented to confirm the accuracy of the analysis.

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

  • complex adaptive Notch Filters for frequency estimation of three phase power systems
    European Conference on Circuit Theory and Design, 2013
    Co-Authors: S. Nishimura, Aloys Mvuma, Takao Hinamoto
    Abstract:

    This paper presents a new technique for adaptive estimation of the frequency of unbalanced three-phase power systems using complex coefficient first-order Notch Filters. The input complex sinusoid is given by a sum of sequences with positive and negative frequencies. The analytical expression of a estimation error oscillation introduced by the sequence with negative frequency has been derived. Closed form expression for frequency tracking error has been also derived for a complex linear chirp signal. Computer simulation results are presented to validate the analysis.

  • Design of two-dimensional adaptive digital Notch Filters
    WCC 2000 - ICSP 2000. 2000 5th International Conference on Signal Processing Proceedings. 16th World Computer Congress 2000, 2000
    Co-Authors: T. Hinamoto, N. Ikeda, S. Nishimura
    Abstract:

    A method for realizing a two-dimensional (2-D) adaptive Notch filter is proposed. The obtained 2-D structure contains a pair of one-dimensional (1-D) second-order IIR Notch Filters and a pair of 1-D first-order allpass Filters. The method has been successfully applied to the removal of a sinusoidal interference superimposed on an image.

  • Convergence analysis of complex adaptive IIR Notch Filters with colored noisy signal
    1999 IEEE Pacific Rim Conference on Communications Computers and Signal Processing (PACRIM 1999). Conference Proceedings (Cat. No.99CH36368), 1999
    Co-Authors: S. Nishimura, Hai-yun Jiang, T. Hinamoto
    Abstract:

    In this paper, we present a method to obtain the convergence properties of adaptive complex IIR Notch Filters. The adaptive detection of a complex sinusoid with additive noise has been investigated. The effects of the colored noise on the convergence speed have been presented. The bias in the frequency estimate assuming colored input noise has also been derived for the single sinusoid case. The results of computer simulation are shown which confirm the theoretical prediction.

  • Performance analysis of complex adaptive IIR Notch Filters
    ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344), 1998
    Co-Authors: S. Nishimura, Hai-yun Jiang, T. Hinamoto
    Abstract:

    We present a new structure for complex adaptive IIR Notch Filters which is useful for the rejection of narrowband interference from broadband signals in QPSK communications systems. The proposed structure is based on a gradient algorithm. A performance analysis for convergence properties is developed. It is shown that the convergence speed does not depend on the variance of input white noise. The effects of colored Gaussian noise on convergence speed are analyzed. The results of computer simulation are shown which confirm the theoretical prediction.

  • A steady-state analysis of adaptive Notch Filters realized with fixed-point arithmetic
    1993 IEEE International Symposium on Circuits and Systems, 1993
    Co-Authors: S. Nishimura
    Abstract:

    A mean square error analysis is presented of the steady-state coefficient fluctuation of infinite impulse response (IIR) adaptive Notch Filters realized with fixed-point arithmetic. The reduction of quantization noise by means of error spectrum shaping is discussed. The variances of coefficient error due to quantization noise are derived in simple closed-form for gradient and normalized gradient algorithms. The results of computer simulations are presented to substantiate the analysis.