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

Lin Li, Xiaorui Yu, Qingtang Jiang, Bo Zang, Li Jiang

Abstract: Highlights•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<math><mi is="true">α</mi></math>-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<math><mi is="true">α</mi></math>-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.