For　conventional　bandwidth　extension,　the　spectral　patching　methods,　such　as　spectral　folding,　spectral　translation　and　non-linear　processing,　are　employed　to　reconstruct　high　frequency　signal,　yet　it　leads　to　the　spectral　shifting　between　reconstructed　and　original　signal,　and　does　not　retain　the　original　harmonic　relations.　In　this　paper,　a　blind　harmonic　bandwidth　extension　method　from　wideband　to　super-wideband　was　proposed　by　estimating　the　energy　of　high　frequency　spectral　envelope　with　Gaussian　mixture　model　(GMM).　Both　the　objective　and　subjective　test　results　show　that　proposed　algorithm　performs　better　than　conventional　blind　bandwidth　extension　algorithms.