The　Electrocardiograph　(ECG)　signal　presents　the　sparseness.　A　new　method　is　proposed　in　this　paper　for　extracting　the　Fetal　Electrocardiograph　(FECG),　which　uses　the　Blind　Source　Separation　(BSS)　theory　of　Sparse　Signal.　Both　the　Wavelet　Analysis　method　and　a　new　Vanish　Circle　scheme　are　involved　in　this　method　to　avoid　the　influence　on　the　signal　separation,　because　the　ECG　signals　are　not　completed　sparse　signals.　Some　experiments　show　that　this　method　is　very　effective　for　FECG.　©　2008　IEEE.