限带高斯白噪声声压时程模拟的修正三角级数法

摘要

Corrected trigonometric series method ( CTSM) is presented to solve the error of RMS between the simulated value and the theoretical value when the white Gaussian noise of high sound pressure level is simulated by traditional trigonometric series method. The CTSM sets every harmonic amplitude to 1 in advance, and finally the pressure RMS is adjusted to the theoretical value. The simulation process is simple and it can eliminate the error between the theoretical value and the simulated value of the traditional method. The CTSM is accurate and reliable of the time history data from the numerical simulation, and the data has good randomicity. So it's reasonable and feasible to simulate the time history of sound pressure with band- limited white gaussian noise by the corrected trigonometric series method.%针对传统三角级数法模拟高声压级下的高斯白噪声声压有效值与理论值存在误差的问题,提出一种修正三角级数法,预先将各谐波振幅置为l,最后调整声压有效值为理论值,模拟过程简单,消除了传统方法模拟有效值与理论值之间的误差.数值模拟得到的声压时程数据准确可靠,具有良好的随机性,表明方法用于限带高斯白噪声声压时程模拟具有合理性、可行性.