限带高斯白噪声声压时程模拟的修正三角级数法  

Corrected Trigonometric Series Method for Time History Simulation of Sound Pressure with Band-limited White Gaussian Noise

作　　者：胡亚琪[1] 贺尔铭[1] 张钊[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《航空计算技术》2012年第1期35-38,共4页Aeronautical Computing Technique

基　　金：博士学科点基金项目资助(20116102110002)

摘　　要：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1,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。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.

关 键 词：高斯白噪声 三角级数法 声压级 功率谱密度 

分 类 号：O242.1[理学—计算数学]