An Evaluation Method for Energy Stochastic System with Nonstationary Random Input and a Prediction of Response Probability Distribution for the Acoustic Insulation Wall Excited by a Road Traffic Noise
Summary :
A new trial of statistical evaluation for an output response of a stochastic linear system on an energy scale is proposed as a prediction method of its probability distribution function by using differential operator with respect to a distribution parameter. As the differential operator is independent of system variable, the statistical features like the nonstationarity, non-gamma property and various type linear and non-linear correlations of input signal reflected in the differential operator and the system dynamics can be treated independently of the system variable. Hence, the probability distribution of transmitted power is easily derived by operating nonstationary operator to the basic probability distribution of output response obtained by a pre-experiment with a test signal of standard gamma type. As an application to the actual noise environment, the proposed evaluation method is employed for the evaluation on a sound insulation system of double walls with sound bridge excited by a non-stationary road traffic noise.
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- IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.9 pp.2547-2554
- Publication Date
- 1991/09/25
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- Special Section PAPER (Special Issue on Information Theory and Its Applications)
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Mitsuo OHTA, Kiminobu NISHIMURA, Kazutatsu HATAKEYAMA, "An Evaluation Method for Energy Stochastic System with Nonstationary Random Input and a Prediction of Response Probability Distribution for the Acoustic Insulation Wall Excited by a Road Traffic Noise" in IEICE TRANSACTIONS on Fundamentals,
vol. E74-A, no. 9, pp. 2547-2554, September 1991, doi: .
Abstract: A new trial of statistical evaluation for an output response of a stochastic linear system on an energy scale is proposed as a prediction method of its probability distribution function by using differential operator with respect to a distribution parameter. As the differential operator is independent of system variable, the statistical features like the nonstationarity, non-gamma property and various type linear and non-linear correlations of input signal reflected in the differential operator and the system dynamics can be treated independently of the system variable. Hence, the probability distribution of transmitted power is easily derived by operating nonstationary operator to the basic probability distribution of output response obtained by a pre-experiment with a test signal of standard gamma type. As an application to the actual noise environment, the proposed evaluation method is employed for the evaluation on a sound insulation system of double walls with sound bridge excited by a non-stationary road traffic noise.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e74-a_9_2547/_p
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@ARTICLE{e74-a_9_2547,
author={Mitsuo OHTA, Kiminobu NISHIMURA, Kazutatsu HATAKEYAMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Evaluation Method for Energy Stochastic System with Nonstationary Random Input and a Prediction of Response Probability Distribution for the Acoustic Insulation Wall Excited by a Road Traffic Noise},
year={1991},
volume={E74-A},
number={9},
pages={2547-2554},
abstract={A new trial of statistical evaluation for an output response of a stochastic linear system on an energy scale is proposed as a prediction method of its probability distribution function by using differential operator with respect to a distribution parameter. As the differential operator is independent of system variable, the statistical features like the nonstationarity, non-gamma property and various type linear and non-linear correlations of input signal reflected in the differential operator and the system dynamics can be treated independently of the system variable. Hence, the probability distribution of transmitted power is easily derived by operating nonstationary operator to the basic probability distribution of output response obtained by a pre-experiment with a test signal of standard gamma type. As an application to the actual noise environment, the proposed evaluation method is employed for the evaluation on a sound insulation system of double walls with sound bridge excited by a non-stationary road traffic noise.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - An Evaluation Method for Energy Stochastic System with Nonstationary Random Input and a Prediction of Response Probability Distribution for the Acoustic Insulation Wall Excited by a Road Traffic Noise
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2547
EP - 2554
AU - Mitsuo OHTA
AU - Kiminobu NISHIMURA
AU - Kazutatsu HATAKEYAMA
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E74-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1991
AB - A new trial of statistical evaluation for an output response of a stochastic linear system on an energy scale is proposed as a prediction method of its probability distribution function by using differential operator with respect to a distribution parameter. As the differential operator is independent of system variable, the statistical features like the nonstationarity, non-gamma property and various type linear and non-linear correlations of input signal reflected in the differential operator and the system dynamics can be treated independently of the system variable. Hence, the probability distribution of transmitted power is easily derived by operating nonstationary operator to the basic probability distribution of output response obtained by a pre-experiment with a test signal of standard gamma type. As an application to the actual noise environment, the proposed evaluation method is employed for the evaluation on a sound insulation system of double walls with sound bridge excited by a non-stationary road traffic noise.
ER -
English
