The　bandwidth　of　a　broadband　sampling　oscilloscope　is　a　crucial　performance　indicator,　as　a　result　of　which　expanding　its　measurement　bandwidth　without　altering　the　oscilloscope　hardware　has　attracted　considerable　research　attention.　This　study　extended　the　oscilloscope　bandwidth　by　compensating　the　oscilloscope＇s　frequency　response.　First,　the　theoretical　relationship　between　the　oscilloscope＇s　bandwidth,　rise　time,　and　their　interdependencies　were　analyzed.　Next,　a　scheme　was　designed　to　acquire　the　oscilloscope＇s　frequency　response　and　compensate　it　in　the　distortion-free　transmission　direction.　Experimental　validation　conducted　using　the　Agilent　86100C　oscilloscope　with　the　86117A　sampling　module　demonstrated　that　the　bandwidth　extended　by　15.2　GHz　after　frequency　response　compensation,　and　the　rise　time　reduced　by　2.5　ps.　These　results　confirmed　the　effectiveness　of　the　proposed　approach.　Finally,　the　oscilloscope＇s　frequency　response　was　compared　with　varying　degrees　of　compensation　and　the　effect　of　this　modification　on　the　measurement　of　the　same　signal　was　investigated,　concluded　that　there　is　a　better　effect　when　approaching　complete　compensation.