In　order　to　derive　the　performance　of　the　ambiguity　function　in　the　linear　canonical　transform　(LCT)　domain　algorithm　for　parameters　estimation　of　quadratic　modulated　frequency　(QFM)　signal,　the　feasibility　of　the　algorithm　in　noisy　environment　was　discussed　at　first　and　the　signal　to　noise　radio　(SNR)　threshold　was　analyzed　by　simulation　experiments.　The　advantages　of　the　algorithm　were　given　out　as　well.　The　product　ambiguity　function　in　the　LCT　domain　was　proposed　in　order　to　further　improve　the　estimation　precision　of　the　QFM　signal.　Theory　analysis　and　simulation　experiments　show　that　the　algorithm　has　good　estimation　performance　in　low　SNR.　And　the　mean　square　error　(MSE)　of　each　parameter　is　more　and　more　close　to　its　Cramer-Rao　lower　bound　with　the　increase　of　the　SNR.　The　algorithm　can　estimate　three　parameters　at　one　time,　so　it　has　high　efficiency　and　small　error　transmission.