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Time-Frequency Properties of the Short-Time Linear Canonical Transform and Its Application

Author

Listed:
  • Lei Huang
  • Qingying Sun
  • Qian Xi
  • Yuhu Liu
  • Mengsheng An
  • Zihan Zhou
  • Paolo Crippa

Abstract

The short-time linear canonical transform (STLCT) is a novel time-frequency analysis tool, which has attracted some attention recently. However, its applications in signal processing are limited because the time-frequency properties of the STLCT are still little known. Most existing studies focus on mathematical properties rather than time-frequency properties in signal processing. To handle this problem, first, we investigate some basic time-frequency properties such as 2-D resolution of the time-frequency plane, the STLCT domain support, computation of the STLCT, etc by generalizing the short-time Fourier transform to the STLCT. Then, based on these derived properties, we find that the Gaussian window is optimal window of the STLCT. Signal separation verified the results.

Suggested Citation

  • Lei Huang & Qingying Sun & Qian Xi & Yuhu Liu & Mengsheng An & Zihan Zhou & Paolo Crippa, 2022. "Time-Frequency Properties of the Short-Time Linear Canonical Transform and Its Application," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-12, January.
    • Handle: RePEc:hin:jnlmpe:1369622
    DOI: 10.1155/2022/1369622
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