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The standard chirplet transform (CT) with a chirp-modulated Gaussian windowprovides a valuable tool for analyzing linear chirp signals. The parameterspresent in the window determine the performance of the CT and play a vital rolein high-resolution time-frequency (TF) analysis. In this paper, we give thewindow shape analysis of the CT and compare it with the extension that employsa rotating Gaussian window by the fractional Fourier transform. The givenparameters analysis provides theoretical guidance for developinghigh-resolution CT. We then propose a multi-resolution chirplet transform(MrCT) by combining multiple CTs with different parameter combinations. Theseare combined geometrically to obtain an improved TF resolution by overcomingthe limitations of any single representation of the CT. By deriving a combinedinstantaneous frequency equation, we further develop a high-concentration TFpost-processing approach to improve the readability of the MrCT. Numericalexperiments on simulated and real signals verify the effectiveness of theproposed methods.

High-resolution chirplet transform: from parameters analysis to parameters combination