一个通用的频谱误差校正快速算法

建立通用的频谱误差数学模型；得出利用信号频域能量信息反求信号幅值、利用信号频域能量重心信息反求信号频率的频谱误差校正算法。该算法适用于加任意对称窗的情形，且速度快、精度高，其有效性得到了数值仿真的验证。

A Efficient Algorithm for Spectrum Error Correction

This paper presents a novel algorithm for spectrum error correction. A formulation regarding the spectrum of a windowed discrete cosine signal is deduced. on this basis, the errors of the amplitude, frequency and phase estimates resulting from the DFT are quantitatively analyzed. Then, utilizing the characteristic parameters of the signal such as energy and energy barycenter in frequency domain, an efficient algorithm is proposed for correcting these estimate errors. In comparison with existing methods, it has the advantages of computational efficiency and high precision, regardless of the window function being used. Simulation results confirm the validity of the presented algorithm.