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分析了梯形窗的时、频特性,推导了一种加梯形窗的频谱校正方法,即利用主瓣内最高谱线左右两侧的两条谱线,得到了加梯形窗的频谱校正公式。利用该算法对单频正弦信号的频率、幅值和相位的校正误差进行了仿真。仿真结果表明,该方法的频谱校正误差较小,且随着频率的增加,误差有所降低,其性能明显优于加矩形窗的校正精度。
Based on the analysis of the time-frequency characteristics of the trapezoidal windows, a method of spectrum correction with trapezoidal windows is deduced. By using the two lines on the left and right of the highest line in the main lobe, the spectrum correction formula of the trapezoidal window is obtained. The algorithm was used to simulate the correction error of the frequency, amplitude and phase of the single-frequency sinusoidal signal. The simulation results show that the error of spectrum correction is small, and the error decreases with the increase of frequency. The performance of this method is better than that of rectangular window.