Noise Distribution

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

  • Set-theoretic estimation based on a priori knowledge of the Noise Distribution
    IEEE Transactions on Signal Processing, 2000
    Co-Authors: J.r. Deller, Y.c. Tsai
    Abstract:

    A new algorithm for estimation of a linear-in-parameters model is developed and tested by simulation. The method is based on the assumption of independent, identically distributed Noise samples with a triangular density function. Such a Noise model well approximates the symmetrically distributed sources of Noise frequently encountered in practice, and the inclusion of a Distribution assumption allows the computation of a pseudo-mean estimate to complement the set solution. The proposed algorithm recursively incorporates incoming observations with decreasing computational complexity as the number of updates increases. Simulations demonstrate that the algorithm has very favorable convergence rates and estimation accuracy and is very robust to deviations from the assumed Noise properties. Comparisons with other set-theoretic algorithms and with conventional RLS are given.

  • ISCAS (3) - Set theoretic estimation through triangular Noise Distribution
    ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349), 1999
    Co-Authors: J.r. Deller
    Abstract:

    In most digital signal processing applications, we need to estimate an object from the observations of a physical system which is Noise corrupted. In this paper, we propose a general set theoretic estimation by using a preassumed Noise Distribution. Although Noise is usually unbounded and nonuniformly distributed, we propose using the triangular Distribution to approximate the unknown Noise Distribution. With this approximation, we can construct the local feasible solution sets from the solution space and more local feasible sets can also yield a smaller global feasibility set and more reliable estimates. Besides we can obtain a single estimate from the global feasibility set by using the assumed Distribution. Simulation shows that our scheme cannot only provide a solution set as set theoretic estimation does but also a correct estimate as recursive least-square (RLS) does. The mismatch effects between the assumed triangular and actual Noise Distribution are also studied and are not severe. It is shown that our algorithm converges much faster than the conventional RLS estimation even under the Distribution mismatch.

  • Set theoretic estimation through triangular Noise Distribution
    1999 IEEE International Symposium on Circuits and Systems (ISCAS), 1999
    Co-Authors: J.r. Deller
    Abstract:

    In most digital signal processing applications, we need to estimate an object from the observations of a physical system which is Noise corrupted. In this paper, we propose a general set theoretic estimation by using a preassumed Noise Distribution. Although Noise is usually unbounded and nonuniformly distributed, we propose using the triangular Distribution to approximate the unknown Noise Distribution. With this approximation, we can construct the local feasible solution sets from the solution space and more local feasible sets can also yield a smaller global feasibility set and more reliable estimates. Besides we can obtain a single estimate from the global feasibility set by using the assumed Distribution. Simulation shows that our scheme cannot only provide a solution set as set theoretic estimation does but also a correct estimate as recursive least-square (RLS) does. The mismatch effects between the assumed triangular and actual Noise Distribution are also studied and are not severe. It is shown that our algorithm converges much faster than the conventional RLS estimation even under the Distribution mismatch.

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

  • RATIONAL MODEL IDENTIFICATION WITH UNKNOWN Noise Distribution USING BINARY DATA
    IFAC Proceedings Volumes, 2016
    Co-Authors: Le Yi Wang, Ji-feng Zhang
    Abstract:

    Abstract This paper introduces new methods in system identification with binary-valued output observations. It resolves two key issues, (a) regression structures for identifying a rational model that contain non-smooth nonlinearity, and (b) unknown Noise Distributions arising in practical identification problems. Optimal identification errors, time complexity, and input design are examined in a stochastic information framework.

  • Identification of Sensor Thresholds and Noise Distribution Functions
    System Identification with Quantized Observations, 2010
    Co-Authors: Le Yi Wang, Ji-feng Zhang, Yanlong Zhao
    Abstract:

    The developments in the early chapters rely on the knowledge of the Distribution function F· or its inverse, as well as the threshold C. However, in many applications, the Noise Distributions are not known, or only limited information is available. On the other hand, input–output data from the system contain information about the Noise Distribution. By viewing unknown Distributions and system parameters jointly as uncertainties, we develop a methodology of joint identification.

  • joint identification of plant rational models and Noise Distribution functions using binary valued observations
    Automatica, 2006
    Co-Authors: Le Yi Wang, Ji-feng Zhang
    Abstract:

    System identification of plants with binary-valued output observations is of importance in understanding modeling capability and limitations for systems with limited sensor information, establishing relationships between communication resource limitations and identification complexity, and studying sensor networks. This paper resolves two issues arising in such system identification problems. First, regression structures for identifying a rational model contain non-smooth nonlinearities, leading to a difficult nonlinear filtering problem. By introducing a two-step identification procedure that employs periodic signals, empirical measures, and identifiability features, rational models can be identified without resorting to complicated nonlinear searching algorithms. Second, by formulating a joint identification problem, we are able to accommodate scenarios in which Noise Distribution functions are unknown. Convergence of parameter estimates is established. Recursive algorithms for joint identification and their key properties are further developed.

K. Taki - One of the best experts on this subject based on the ideXlab platform.

Y.c. Tsai - One of the best experts on this subject based on the ideXlab platform.

  • Set-theoretic estimation based on a priori knowledge of the Noise Distribution
    IEEE Transactions on Signal Processing, 2000
    Co-Authors: J.r. Deller, Y.c. Tsai
    Abstract:

    A new algorithm for estimation of a linear-in-parameters model is developed and tested by simulation. The method is based on the assumption of independent, identically distributed Noise samples with a triangular density function. Such a Noise model well approximates the symmetrically distributed sources of Noise frequently encountered in practice, and the inclusion of a Distribution assumption allows the computation of a pseudo-mean estimate to complement the set solution. The proposed algorithm recursively incorporates incoming observations with decreasing computational complexity as the number of updates increases. Simulations demonstrate that the algorithm has very favorable convergence rates and estimation accuracy and is very robust to deviations from the assumed Noise properties. Comparisons with other set-theoretic algorithms and with conventional RLS are given.

Keigo Hirakawa - One of the best experts on this subject based on the ideXlab platform.

  • Quantile analysis of image sensor Noise Distribution
    2015 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP), 2015
    Co-Authors: Jiachao Zhang, Keigo Hirakawa
    Abstract:

    This paper describes a study aimed at comparing the real image sensor Noise Distribution to the models of Noise often assumed in image denoising designs. Quantile analysis in pixel, wavelet, and variance stabilization domains reveal that the tails of Poisson, signal-dependent Gaussian, and Poisson-Gaussian models are too short to capture real sensor Noise behavior. Noise model mismatch would likely result in image denoising that undersmoothes real sensor data.

  • ICASSP - Quantile analysis of image sensor Noise Distribution
    2015 IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP), 2015
    Co-Authors: Jiachao Zhang, Keigo Hirakawa
    Abstract:

    This paper describes a study aimed at comparing the real image sensor Noise Distribution to the models of Noise often assumed in image denoising designs. Quantile analysis in pixel, wavelet, and variance stabilization domains reveal that the tails of Poisson, signal-dependent Gaussian, and Poisson-Gaussian models are too short to capture real sensor Noise behavior. Noise model mismatch would likely result in image denoising that undersmoothes real sensor data.