L_p自相关函数的谱的研究

A Study of Spectrum R_p(ω) of L_p Correlation Function

对一种新的Ｌｐ自相关函数的谐Ｒｐ（ω）进行了研究，讨论了Ｌｐ自相关函数与高阶联合矩及Ｒｐ（ω）谱与多谱间的关系．研究结果表明：Ｌｐ自相关函数所含的信息量一般不及多谱丰富，因此多谱比 Ｌｐ自相关函数更为优越．

The common auto-correlation(or power spectrum) is a useful tool in many areas of practical applications, but it does not contain the phase information. Recently interest has arisen in polyspectra or higher order spectra, which can provide the phase information. Lp correlation function is a new defined one. This paper studies its spectrum Rp(ω) for the first time. The relations between Lp correlation function and higher order joint moments as well as Rp(ω) and polyspectrum have discussed. As a result, it is shown that po1yspectrum's phase information is more plentiful than Lp, correlation's. Therefore, polyspectrum is superior to Lp correlation function.