Irreducible Form

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N. Nagai - One of the best experts on this subject based on the ideXlab platform.

  • Irreducible Form for AP algorithm for detecting the number of coherent signals based on the MDL principle
    2001 IEEE International Conference on Acoustics Speech and Signal Processing. Proceedings (Cat. No.01CH37221), 2001
    Co-Authors: M. Suzuki, H. Sanada, N. Nagai
    Abstract:

    This paper presents an improvement of the alternating projection (AP) algorithm for detecting the number of coherent signals based on the minimum description length (MDL) principle using a uniForm linear array of sensors. The criterion of the AP algorithm for the detection becomes indefinite, when estimated bearings more than one approach to the identical value. This paper derives an Irreducible Form of the AP criterion for the detection, which never get indefinite. The Irreducible Form is represented as a rational function and real-valued version of the FFT can be exploited efficiently. The proposed algorithm reduces the order of the amount of arithmetic operations. Finally, simulation results are shown to demonstrate the validity of the proposed algorithm.

  • ICASSP - Irreducible Form for AP algorithm for detecting the number of coherent signals based on the MDL principle
    2001 IEEE International Conference on Acoustics Speech and Signal Processing. Proceedings (Cat. No.01CH37221), 2001
    Co-Authors: M. Suzuki, H. Sanada, N. Nagai
    Abstract:

    This paper presents an improvement of the alternating projection (AP) algorithm for detecting the number of coherent signals based on the minimum description length (MDL) principle using a uniForm linear array of sensors. The criterion of the AP algorithm for the detection becomes indefinite, when estimated bearings more than one approach to the identical value. This paper derives an Irreducible Form of the AP criterion for the detection, which never get indefinite. The Irreducible Form is represented as a rational function and real-valued version of the FFT can be exploited efficiently. The proposed algorithm reduces the order of the amount of arithmetic operations. Finally, simulation results are shown to demonstrate the validity of the proposed algorithm.

M. Suzuki - One of the best experts on this subject based on the ideXlab platform.

  • Efficient AM Algorithms for Stochastic ML Estimation of DOA
    International Journal of Antennas and Propagation, 2016
    Co-Authors: Haihua Chen, Shibao Li, Yiqing Zhou, M. Suzuki
    Abstract:

    The estimation of direction-of-arrival (DOA) of signals is a basic and important problem in sensor array signal processing. To solve this problem, many algorithms have been proposed, among which the Stochastic Maximum Likelihood (SML) is one of the most concerned algorithms because of its high accuracy of DOA. However, the estimation of SML generally involves the multidimensional nonlinear optimization problem. As a result, its computational complexity is rather high. This paper addresses the issue of reducing computational complexity of SML estimation of DOA based on the Alternating Minimization (AM) algorithm. We have the following two contributions. First using transFormation of matrix and properties of spatial projection, we propose an efficient AM (EAM) algorithm by dividing the SML criterion into two components. One depends on a single variable parameter while the other does not. Second when the array is a uniForm linear array, we get the Irreducible Form of the EAM criterion (IAM) using polynomial Forms. Simulation results show that both EAM and IAM can reduce the computational complexity of SML estimation greatly, while IAM is the best. Another advantage of IAM is that this algorithm can avoid the numerical instability problem which may happen in AM and EAM algorithms when more than one parameter converges to an identical value.

  • Irreducible Form for AP algorithm for detecting the number of coherent signals based on the MDL principle
    2001 IEEE International Conference on Acoustics Speech and Signal Processing. Proceedings (Cat. No.01CH37221), 2001
    Co-Authors: M. Suzuki, H. Sanada, N. Nagai
    Abstract:

    This paper presents an improvement of the alternating projection (AP) algorithm for detecting the number of coherent signals based on the minimum description length (MDL) principle using a uniForm linear array of sensors. The criterion of the AP algorithm for the detection becomes indefinite, when estimated bearings more than one approach to the identical value. This paper derives an Irreducible Form of the AP criterion for the detection, which never get indefinite. The Irreducible Form is represented as a rational function and real-valued version of the FFT can be exploited efficiently. The proposed algorithm reduces the order of the amount of arithmetic operations. Finally, simulation results are shown to demonstrate the validity of the proposed algorithm.

  • ICASSP - Irreducible Form for AP algorithm for detecting the number of coherent signals based on the MDL principle
    2001 IEEE International Conference on Acoustics Speech and Signal Processing. Proceedings (Cat. No.01CH37221), 2001
    Co-Authors: M. Suzuki, H. Sanada, N. Nagai
    Abstract:

    This paper presents an improvement of the alternating projection (AP) algorithm for detecting the number of coherent signals based on the minimum description length (MDL) principle using a uniForm linear array of sensors. The criterion of the AP algorithm for the detection becomes indefinite, when estimated bearings more than one approach to the identical value. This paper derives an Irreducible Form of the AP criterion for the detection, which never get indefinite. The Irreducible Form is represented as a rational function and real-valued version of the FFT can be exploited efficiently. The proposed algorithm reduces the order of the amount of arithmetic operations. Finally, simulation results are shown to demonstrate the validity of the proposed algorithm.

Werner Henkel - One of the best experts on this subject based on the ideXlab platform.

  • VTC Fall - Efficient Nonlinear Detector of Binary Signals in Rayleigh Fading and Impulsive Interference
    2012 IEEE Vehicular Technology Conference (VTC Fall), 2012
    Co-Authors: Khodr A. Saaifan, Khaled Hassan, Werner Henkel
    Abstract:

    The Middleton Class-A (MCA) model is one of the most widely applied models for narrow-band impulsive interference superimposed to additive white Gaussian noise (AWGN). The MCA noise process consists of an infinite number of Gaussian-distributed noise states with different variances. As a result, the optimum detector has Irreducible Form. Here, our analysis is based on a two-state model, where we further approximate it to a single noise state. Therefore, a log-function reduces the likelihood ratio test (LRT) to a closed-Form expression. Since the low-pass equivalent of the noise process can be expressed by in-phase and quadrature (IQ) components. We derive the nonlinear decision rules when the IQ components of noise are independent and identically distributed (i.i.d.). Furthermore, for jointly distributed IQ noise components, we show that the conventional coherent detector over a fading channel with Gaussian noise is still optimum for impulse noise.

  • Efficient Nonlinear Detector of Binary Signals in Rayleigh Fading and Impulsive Interference
    2012 IEEE Vehicular Technology Conference (VTC Fall), 2012
    Co-Authors: Khodr A. Saaifan, Khaled Hassan, Werner Henkel
    Abstract:

    The Middleton Class-A (MCA) model is one of the most widely applied models for narrow-band impulsive interference superimposed to additive white Gaussian noise (AWGN). The MCA noise process consists of an infinite number of Gaussian-distributed noise states with different variances. As a result, the optimum detector has Irreducible Form. Here, our analysis is based on a two-state model, where we further approximate it to a single noise state. Therefore, a log-function reduces the likelihood ratio test (LRT) to a closed-Form expression. Since the low-pass equivalent of the noise process can be expressed by in-phase and quadrature (IQ) components. We derive the nonlinear decision rules when the IQ components of noise are independent and identically distributed (i.i.d.). Furthermore, for jointly distributed IQ noise components, we show that the conventional coherent detector over a fading channel with Gaussian noise is still optimum for impulse noise.

H. Sanada - One of the best experts on this subject based on the ideXlab platform.

  • Irreducible Form for AP algorithm for detecting the number of coherent signals based on the MDL principle
    2001 IEEE International Conference on Acoustics Speech and Signal Processing. Proceedings (Cat. No.01CH37221), 2001
    Co-Authors: M. Suzuki, H. Sanada, N. Nagai
    Abstract:

    This paper presents an improvement of the alternating projection (AP) algorithm for detecting the number of coherent signals based on the minimum description length (MDL) principle using a uniForm linear array of sensors. The criterion of the AP algorithm for the detection becomes indefinite, when estimated bearings more than one approach to the identical value. This paper derives an Irreducible Form of the AP criterion for the detection, which never get indefinite. The Irreducible Form is represented as a rational function and real-valued version of the FFT can be exploited efficiently. The proposed algorithm reduces the order of the amount of arithmetic operations. Finally, simulation results are shown to demonstrate the validity of the proposed algorithm.

  • ICASSP - Irreducible Form for AP algorithm for detecting the number of coherent signals based on the MDL principle
    2001 IEEE International Conference on Acoustics Speech and Signal Processing. Proceedings (Cat. No.01CH37221), 2001
    Co-Authors: M. Suzuki, H. Sanada, N. Nagai
    Abstract:

    This paper presents an improvement of the alternating projection (AP) algorithm for detecting the number of coherent signals based on the minimum description length (MDL) principle using a uniForm linear array of sensors. The criterion of the AP algorithm for the detection becomes indefinite, when estimated bearings more than one approach to the identical value. This paper derives an Irreducible Form of the AP criterion for the detection, which never get indefinite. The Irreducible Form is represented as a rational function and real-valued version of the FFT can be exploited efficiently. The proposed algorithm reduces the order of the amount of arithmetic operations. Finally, simulation results are shown to demonstrate the validity of the proposed algorithm.

Khodr A. Saaifan - One of the best experts on this subject based on the ideXlab platform.

  • VTC Fall - Efficient Nonlinear Detector of Binary Signals in Rayleigh Fading and Impulsive Interference
    2012 IEEE Vehicular Technology Conference (VTC Fall), 2012
    Co-Authors: Khodr A. Saaifan, Khaled Hassan, Werner Henkel
    Abstract:

    The Middleton Class-A (MCA) model is one of the most widely applied models for narrow-band impulsive interference superimposed to additive white Gaussian noise (AWGN). The MCA noise process consists of an infinite number of Gaussian-distributed noise states with different variances. As a result, the optimum detector has Irreducible Form. Here, our analysis is based on a two-state model, where we further approximate it to a single noise state. Therefore, a log-function reduces the likelihood ratio test (LRT) to a closed-Form expression. Since the low-pass equivalent of the noise process can be expressed by in-phase and quadrature (IQ) components. We derive the nonlinear decision rules when the IQ components of noise are independent and identically distributed (i.i.d.). Furthermore, for jointly distributed IQ noise components, we show that the conventional coherent detector over a fading channel with Gaussian noise is still optimum for impulse noise.

  • Efficient Nonlinear Detector of Binary Signals in Rayleigh Fading and Impulsive Interference
    2012 IEEE Vehicular Technology Conference (VTC Fall), 2012
    Co-Authors: Khodr A. Saaifan, Khaled Hassan, Werner Henkel
    Abstract:

    The Middleton Class-A (MCA) model is one of the most widely applied models for narrow-band impulsive interference superimposed to additive white Gaussian noise (AWGN). The MCA noise process consists of an infinite number of Gaussian-distributed noise states with different variances. As a result, the optimum detector has Irreducible Form. Here, our analysis is based on a two-state model, where we further approximate it to a single noise state. Therefore, a log-function reduces the likelihood ratio test (LRT) to a closed-Form expression. Since the low-pass equivalent of the noise process can be expressed by in-phase and quadrature (IQ) components. We derive the nonlinear decision rules when the IQ components of noise are independent and identically distributed (i.i.d.). Furthermore, for jointly distributed IQ noise components, we show that the conventional coherent detector over a fading channel with Gaussian noise is still optimum for impulse noise.