Time-frequency transform based on frequency-to-time mapping and filtering

Yang Chen

doi:10.1117/12.2686537

27 November 2023 Time-frequency transform based on frequency-to-time mapping and filtering

Yang Chen

Proceedings Volume 12761, Semiconductor Lasers and Applications XIII; 127610A (2023) https://doi.org/10.1117/12.2686537
Event: SPIE/COS Photonics Asia, 2023, Beijing, China

Abstract

In this work, time-frequency transform systems reported recently by us, including short-time Fourier transform and wavelet-like transform, are introduced. A periodic fast frequency-sweep electrical signal is used to scan the Signal Under Test (SUT). As long as the sweep is fast enough, the SUT in a single sweep period can be seen as a stationary signal and its frequency in this period can be obtained by mapping it to low-frequency pulses using filtering and frequency-to-time-mapping technique. After obtaining the frequency information of the SUT in each sweep period, the time-frequency information of the SUT can be obtained by combining the frequency information in each sweep period. The proposed method converts the time-frequency analysis of broadband signals into the analysis of low-speed electrical pulses, greatly increasing the real-time performance of the system and not relying on dispersive mediums compared to existing photonics-assisted solutions. The method for improving the system performance is also discussed by introducing filter bandwidth manipulation technology. It is found that for a given sweep speed, a proper filter bandwidth can be found to minimize the width of the electrical pulses and optimize the system frequency resolution. The photonics-assisted analog time-frequency transform method introduced in this work has a broad application prospect in the efficient and real-time acquisition of two-dimensional time-frequency information of the electromagnetic spectrum.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Yang Chen "Time-frequency transform based on frequency-to-time mapping and filtering", Proc. SPIE 12761, Semiconductor Lasers and Applications XIII, 127610A (27 November 2023); https://doi.org/10.1117/12.2686537

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KEYWORDS

Time-frequency analysis

Tunable filters

Optical filters

Pulse signals

Fourier transforms

Signal processing

Wavelet transforms

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