汕头大学学报（自然科学版）

在分析加窗对傅立叶变换和频谱分析产生的幅值误差的基础上 ,根据加窗后恢复系数遵循的幅值相等或是能量相等的原则 ,系统地提出了三种求加窗后频谱分析幅值恢复系数的方法 ,用以解决加窗产生的幅值误差 .第一种方法是直接进行的理论上推导并求解出恢复系数 ;第二种方法采用数值积分求解出恢复系数 ;第三种方法采用仿真计算求解出恢复系数 .在窗函数的频谱没有理论解析表达式的情况下 ,采用第二或三种方法 ,对频谱校正根据不同的校正方法采用不同的恢复系数

Based on an investigation of the amplitude errors in Fourier transfo rm and spectrum analysis produced by windowing, this paper, on the principles of equivalent amplitude and energy, presents three methods to calculate the resett ing modulus for windowing spectrum analysis so as to reduce the errors.The first method is by calculating resetting modulus through theoretical deducti on direc tly. The second method is by calculating the energy resetting modulus with numer ical integrating. The third method is by calculating the energy resetting modulu s emulating computation. The second or the third methods are to be used in cases where the function in domain of time of window is too complicated or the spectr um of window is unreachable, with different resetting moduli to be chosen for di fferent methods for use in spectrum correction.culating resetting modulus through theoretic