Work

Ridge Detection for Nonstationary Multicomponent Signals With Time-Varying Wave-Shape Functions and its Applications

Year: 2024

Type: article

Abstract: We introduce a novel ridge detection algorithm for time-frequency (TF) analysis, particularly tailored for intricate nonstationary time series encompassing multiple non-sinusoidal oscillatory components. The algorithm is rooted in the distinctive geometric patterns that emerge in the TF domain due to such non-sinusoidal oscillations. We term this methodshape-adaptive mode decomposition-based multiple harmonic ridge detection(SAMD-MHRD). A swift implementation is available when supplementary information is at hand. We demonstrate the practical utility ofSAMD-MHRDthrough its application to a real-world challenge. We employ it to devise a cutting-edge walking activity detection algorithm, leveraging accelerometer signals from an inertial measurement unit across diverse body locations of a moving subject.

Source: IEEE Transactions on Signal Processing

DOI: 10.1109/tsp.2024.3476495

Authors: Yan-Wei Su, Gi-Ren Liu, Yuan-Chung Sheu, Hau-Tieng Wu

Institutions: National Yang Ming Chiao Tung University, National Cheng Kung University, Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403209981

FWCI: 4.273

Cites: 40

Cited by: 12

Related to: 10