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A photonics-enabled wavelet-like transform system, characterized bymulti-resolution time-frequency analysis, is proposed based on a typicalstimulated Brillouin scattering (SBS) pump-probe setup using an opticalnonlinear frequency-sweep signal. In the pump path, a continuous-wave opticalsignal is injected into an SBS medium to generate an SBS gain. In the probepath, a periodic nonlinear frequency-sweep optical signal with a time-varyingchirp rate is generated, which is then modulated at a Mach-Zehnder modulator(MZM) by the electrical signal under test (SUT). The optical signal from theMZM is selectively amplified by the SBS gain and converted back to theelectrical domain using a low-speed photodetector, implementing the periodicSBS-based frequency-to-time mapping (FTTM). The frequency-domain informationcorresponding to different periods is mapped to the time domain via the FTTM inthe form of low-speed electrical pulses, which is then spliced to analyze thetime-frequency relationship of the SUT in real-time. The time-varying chirprate in each sweep period makes the signals with different frequencies havedifferent frequency resolutions in the FTTM process, which is very similar tothe characteristics of the wavelet transform, so we call it wavelet-liketransform. An experiment is carried out. Multi-resolution time-frequencyanalysis of a variety of RF signals is carried out in a 4-GHz bandwidth limitedonly by the equipment.

Photonics-enabled wavelet-like transform via nonlinear optical frequency sweeping and stimulated Brillouin scattering-based frequency-to-time mapping