Generalized Short Time DFTとそのヒルベルト変換への適用

Abstract

It is newly proposed in this paper based on the generalized Short Time DFT (ST gDFT) that an ideal Hilbert transformer is realized with employing phase shifting by -π/2 radian (ω>0) and π/2 radian (ω<0). The ST gDFT is able to adjust its sub-channel allocation by an apriori value along to the frequency axis in order to perform frequency domain Hilbert transform precisely via avoiding zero frequency crossing in the preserved sub-channel. The phase shifting function of a ST gDFT Hilbert transformer is as accurate as detecting no error with (10)^<-9> degree order, and its amplitude is as flat as swinging within 0.01 dB over subjective domain.