基于双谱的谐波信号重构

Reconstruction of measured harmonic signals from bispectrum

提出了一种基于双谱分析的谐波信号精确重构方法．该方法通过在被测信号中加入一相位为０幅值为１的半基频信号，并对该合成信号进行双谱分析，实现了被测信号相位和幅值的精确求解，解决了已有基于双谱的信号重构方法中所存在的相对相移问题．仿真结果验证了该方法的有效性．

A new method for accurate reconstruction of the harmonic signals from bispectrum is presented. Based on the analyses of the measured harmonic signal, a sinusoid signal with a zero-phase,one-amplitude and half of the fundamental frequency combines with the measured signal to form a combined signal, and then the bispectrum analysis is carried out to reconstruct the phase and the amplitudeof the measured signal accurately. Without the zero-phase assumption of the fundamental component,the phase shifting between the calculated Fourier phase and the true Fourier phase in the existing signalretrieval method based on bispectrum is eliminated by using the new method. The simulation resultsshow the effectiveness of the new method.