A Parameter Estimation Method of Non-instantaneous Diffusion Point Source Based on Finite Rate of Innovation

FU Ning; SHEN Mengyao; WEI Zhiliang; QIAO Liyan

doi:10.11999/JEIT210540

Volume 44 Issue 8

Aug. 2022

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Article Navigation > Journal of Electronics & Information Technology > 2022 > 44(8): 2739-2748

FU Ning, SHEN Mengyao, WEI Zhiliang, QIAO Liyan. A Parameter Estimation Method of Non-instantaneous Diffusion Point Source Based on Finite Rate of Innovation[J]. Journal of Electronics & Information Technology, 2022, 44(8): 2739-2748. doi: 10.11999/JEIT210540

Citation:

FU Ning, SHEN Mengyao, WEI Zhiliang, QIAO Liyan. A Parameter Estimation Method of Non-instantaneous Diffusion Point Source Based on Finite Rate of Innovation[J]. Journal of Electronics & Information Technology, 2022, 44(8): 2739-2748. doi: 10.11999/JEIT210540

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A Parameter Estimation Method of Non-instantaneous Diffusion Point Source Based on Finite Rate of Innovation

doi: 10.11999/JEIT210540

School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin 150001, China

Funds: The National Natural Science Foundation of China (62071149, 61671177)

Received Date: 2021-06-08
Accepted Date: 2022-03-31
Rev Recd Date: 2022-03-10

Available Online: 2022-04-08

Publish Date: 2022-08-17

Abstract

Abstract

Many physical phenomena can be described by the diffusion equations, such as the emission of chimney pollutants, chemical substance leakage, etc. Therefore, the estimation of diffusion source parameters is of great significance in practical applications. Currently, most of the proposed methods for estimating parameters of diffusion sources are aimed at instantaneous point source signals. For non-instantaneous actual diffusion processes, there is a problem of model mismatch. In this paper, the diffusion source model is extended to variable pulse-width signals, and the parameter estimation algorithm of corresponding non-instantaneous point sources are proposed. In this algorithm, the actual measurement value is obtained by sampling with the wireless sensor network, a combination coefficient is found to combine linearly the actual measurement value into an exponential function, and then the combined data is analyzed according to the Finite Rate of Innovation (FRI) sampling theory by using the annihilation filter method to solve the diffusion source parameters. The simulation results analyze the performance factors that affect parameter recovery, including noise, the number of sensors, etc., and the accuracy of the non-instantaneous diffusion point source parameter estimation method is validated.
- Diffusion source,
- Parameter estimation,
- Finite Rate of Innovation (FRI),
- Pulse of variable width

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References(21)

References

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