simulation-Broadband acoustic modal identification with NSM

Broadband Acoustic Modal identification by array non-synchronous measurements with one reference

The broadband acoustic modes are simulated by the following code. The point source is used as the source excitation in the duct, the axial modal basis function is set, and the collected sound pressure of the rotating array microphone is obtained to finally realize the simulation of broadband acoustic modal identification.

FUNCTION

simulation_main.m: the function shows a rotating microphone array acquiring the sound pressure signal inside the duct and the identification of broadband duct acoustic modes in a set frequency band.

matrix_G_AMD.m: the function obtains the modal basis function of the broadband acoustic modes in the duct by setting the modal order, the duct radius and the position of the microphones.

mode_calculation.m: the function obtains the modal order at different source frequencies in the duct through the duct radius, wave number, and Mach number.

monopole_sound_pressure2.m: the function obtains the energy amplitude of the modal order at different source frequencies in the duct.

AddNoise.m: the function is used to add noise to the sound pressure signal by snapshots.

FISTA.m: the function implements the data completion of the cross-spectral matrix through the Fast Iterative Shrinkage Threshold Algorithm (FISTA).

kappa100.mat: the matrix is the number of conduction waves for different modal orders in the duct.

REFERENCE

Please cite the following papers if you want to use this program.

[1] L. Yu, J. Antoni and Q. Leclere, “Acoustical source reconstruction from non-synchronous sequential measurements by Fast Iterative Shrinkage Thresholding Algorithm”, Journal of Sound and Vibration, Vol. 408, 2017, pp. 351-367. http://dx.doi.org/10.1016/j.jsv.2017.07.036

[2] R. Wang, M.J. Yu and L. Yu, “Broadband Acoustic Modal identification by array non-synchronous measurements with one reference”, AIAA Journal, 2023. https://doi.org/10.2514/1.J062596