IJCATR Volume 14 Issue 10

A Time-Frequency Analysis Method Based on Synchroextracting Transform

Duan Yutong, Jun Mei
10.7753/IJCATR1410.1010
keywords : time-frequency analysis; Synchroextracting Transform; instantaneous frequency; resolution enhancement; signal processing

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The Synchroextracting Transform (SET) is a novel and powerful time-frequency analysis technique designed to overcome the resolution limitation imposed by the Heisenberg uncertainty principle in traditional methods. Unlike conventional approaches that retain the entire time-frequency spectrum, SET employs a synchroextracting operator to identify and preserve only the most energy-concentrated time-frequency coefficients associated with the signal's instantaneous frequency. This process effectively filters out smeared and diffused energy, resulting in a highly sparse and sharpened time-frequency representation. This paper elaborates on the fundamental principle of SET and validates its performance using synthetic non-stationary signals. The results demonstrate that SET achieves superior energy concentration and provides exceptional resolution in distinguishing signal components that are otherwise blurred in Short-Time Fourier Transform (STFT) and S-Transform analyses. The method shows significant potential for high-precision signal characterization in various engineering and geophysical applications.
@artical{d14102025ijcatr14101010,
Title = "A Time-Frequency Analysis Method Based on Synchroextracting Transform ",
Journal ="International Journal of Computer Applications Technology and Research (IJCATR)",
Volume = "14",
Issue ="10",
Pages ="54 - 55",
Year = "2025",
Authors ="Duan Yutong, Jun Mei"}