This　paper　is　concerned　with　the　estimation　of　frequencies　of　sinusoids　based　on　the　data　disturbed　by　fractal　noises.　For　fractionally　differenced　Gaussian　noises　a　combinatory　method　of　bias　compensated　least　squares　(BCLS)　and　maximum　likelihood　(ML)　is　presented　here　for　this　problem.　It　is　demonstrated　by　simulations　that　the　new　approach　has　high　resolution　and　call　suppress　the　effect　of　fractionally　differenced　Gaussian　noise.