High‐order ridge reconstruction for more accurate signal estimate from time‐frequency representations. Issue 13 (1st June 2019)

• Record Type: Journal Article
• Authors: Zhu, Xiangxiang; Zhang, Zhuosheng; Li, Wenting; Li, Bei
• Is Part Of: Electronics letters. Volume 55:Issue 13(2019)
• Page Start: 763
• Page End: 765
• Publication Date: 2019-06-01
• Subjects: image reconstruction -- time‐frequency analysis -- signal reconstruction -- amplitude modulation -- frequency modulation; high‐order ridge reconstruction -- accurate signal estimate -- time‐frequency representations -- ridge reconstruction method -- commonly used ways -- nonstationary signal reconstruction -- reconstruction error -- amplitude‐modulated frequency‐modulated -- new reconstruction approach -- powerful reconstruction approach -- named high‐order RR -- high‐order derivative information -- phase -- explicit reconstruction formula -- second‐order RR -- reconstruction accuracy -- addressing AM–FM signals; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2019.0340
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : Ridge reconstruction (RR) method is one of the most commonly used ways for non‐stationary signal reconstruction from time‐frequency representations. However, this method leads to a large reconstruction error when dealing with strongly amplitude‐modulated and frequency‐modulated (AM–FM) signals. To tackle this problem, in this Letter the authors propose a new and powerful reconstruction approach, named high‐order RR, by considering the high‐order derivative information of amplitude and phase of the signal. In particular, an explicit reconstruction formula for second‐order RR is derived. Simulation results demonstrate the superiority of the proposed approach in reconstruction accuracy when addressing AM–FM signals, as well as the stability for the selection of window width.