The　accurate　analysis　of　close　and　crossed　frequency　components　is　a　challenge　for　the　existing　time-frequency　analysis　methods　due　to　energy　interference　in　the　adjacent　and　crossing　parts.　In　addition,　the　energy　error　at　the　intersection　is　caused　because　the　energy　value　is　superimposed　repeatedly.　To　solve　these　problems,　a　new　adaptive　demodulation　extraction　transform　(ADET)　is　proposed　in　this　paper.　An　instantaneous　frequency　(IF)　trajectory　estimation　method　and　an　amplitude　extraction　(AE)　matrix　are　designed　to　accurately　identify　the　adjacent　and　crossing　frequencies.　The　IF　trajectory　is　calculated　using　the　particle　swarm　optimization　algorithm　and　the　generalized　demodulation　technique.　The　AE　matrix　extracts　the　energy　value　from　the　time-frequency　domain　by　a　position　function,　which　converts　the　IF　trajectory　to　corresponding　time-frequency　information.　Moreover,　an　iteration　procedure　is　designed　to　avoid　the　superposition　of　energy　at　the　crossing　point.　The　effectiveness　of　ADET　is　confirmed　through　simulated　and　experimental　signals.