2016/06/29 by Li Su, Hau‐Tieng Wu, Su, Li +1
Computer Science · #Blind Source Separation Techniques #FOS: Computer and information sciences #FOS: Mathematics #Multimedia (cs.MM) #Music and Audio Processing #Numerical Analysis (math.NA) #Sound (cs.SD) #Speech and Audio Processing
paper · pdf · doi:10.48550/arxiv.1606.09047
openalex publication_date 2016/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study the real-time dynamics retrieval from a time series via the time-frequency (TF) analysis with the minimal latency guarantee. While different from the well-known intrinsic latency definition in the filter design, a rigorous definition of intrinsic latency for different time-frequency representations (TFR) is provided, including the short time Fourier transform (STFT), synchrosqeezing transform (SST) and reassignment method (RM). To achieve the minimal latency, a systematic method is proposed to construct an asymmetric window from a well-designed symmetric one based on the concept of minimum-phase, if the window satisfies some weak conditions. We theoretically show that the TFR determined by SST with the constructed asymmetric window does have a smaller intrinsic latency. Finally, the music onset detection problem is studied to show the strength of the proposed algorithm.