Acoustic temperature field reconstruction algorithm based on regularized exponential approach

The basic theory of the measurement of gas temperature by acoustic method is introduced. A new acoustic temperature field reconstruction algorithm based on regularized exponential approach is proposed. First expand the slowness function over a finite set of exponential series, and then acquire a stable solution by using suitable regularization method. The reconstruction algorithm based on regularized Fourier technique is also given in this paper for comparison research. Simulation experiments were carried out under different temperature field models. Reconstruction results indicate that when the number of the acoustic sound sources/receivers is 8, the new algorithm has a higher accuracy in comparison with that of the algorithm based on regularized Fourier technique.