Improved FISTA temperature field reconstruction algorithm based on ultrasonic waves

Abstract

The invention discloses an improved FISTA temperature field reconstruction algorithm based on ultrasonic waves, and the algorithm comprises the following steps: 1, dividing a measurement region into a certain number of discrete grids; step 2, constructing a temperature error objective function based on discrete grid points; step 3, based on the measured sound wave flying time data, solving the objective function by using an improved FISTA algorithm to obtain temperature distribution of the measurement area under the grid; and 4, carrying out cubic Hermite interpolation on the temperature distribution obtained under the measurement area grid to obtain the temperature field distribution of the whole measurement area. According to the improved FISTA algorithm provided by the invention, the physical information and the sound wave flying time of the detected area are utilized, and the rapid reconstruction of the temperature field is realized. By resetting the acceleration parameter, the problem of fluctuation instability in the iterative reconstruction process of the temperature field is solved. Meanwhile, according to the algorithm, a positive definite matrix is introduced into a gradient function, and the reconstruction speed and the reconstruction precision of the temperature field are improved.

Description

technical field [0001] The invention relates to the technical field of temperature field reconstruction algorithms, in particular to an improved FISTA temperature field reconstruction algorithm based on ultrasonic waves. Background technique [0002] As one of the basic physical quantities, temperature can help to obtain a variety of useful information by monitoring temperature changes. Therefore, the use of acoustic temperature field reconstruction technology to obtain temperature distribution information in a timely and accurate manner has broad application prospects in the fields of ensuring efficient and stable operation of industrial furnace systems, improving grain storage quality, remote monitoring of atmospheric parameters, and temperature distribution monitoring of submarine hot springs. [0003] With the development of science and technology, my country's demand for electricity is increasing day by day, which has led to the rapid development of the power generation...

AI Technical Summary

Problems solved by technology

However, since the singular value of the coefficient matrix is ​​often in a state of continuous decline, it is difficult to select a suitable singular value for truncation, resulting in poor reconstruction effect of truncated singular value decomposition

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