Synchrosqueezing transform meets α-stable distribution: An adaptive fractional lower-order SST for instantaneous frequency estimation and non-stationary signal recovery

•A fractional lower-order synchrosqueezing transform with adaptive window and adaptive order (AWO-SST) is proposed for IF estimation and multicomponent signal separation in the α-stable distribution noise.•The time-varying order p(t) is used to match different localized impulsive noise.•A new iteration algorithm based on 2nd-order AWO-SST is introduced to recover components precisely.A fractional lower-order synchrosqueezing transform with adaptive window and adaptive order (AWO-SST) is proposed for IF estimation and multicomponent signal separation in the α-stable distribution noise.•The time-varying order p(t) is used to match different localized impulsi ve noise.•A new iteration algorithm based on 2nd-order AWO-SST is introduced to recover components precisely.