Abstract: Bispectrum and zerophase spectrum are two kinds of shift-invariant feature with phase information.It is pointed out that the reason for bispectrum superior to zerophase spectrum is the weighting of spectrum amplitude,i.e.the low frequency part of signal is strengthened by weighting;then three weight mehtods: power transformation,spectrum weighting and a method based on fisher discriminant information are given.Finally,the last two methods are combined togerther to weight the zerophase spectrum,and a new weighted zerophase spectrum with better recognition performance is obtained.