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Uncertainty principles for the short-time linear canonical transform of complex signals
The short-time linear canonical transform (STLCT) can be identified as a
generalization of the short-time Fourier transform (STFT). It is a novel
time-frequency analysis tool. In this paper, we generalize some different
uncertainty principles for the STLCT of complex signals. Firstly, one
uncertainty principle for the STLCT of complex signals in time and frequency
domains is derived. Secondly, the uncertainty principle for the STLCT of
complex signals in two STLCT domains is obtained. Finally, the uncertainty
principle for the two conditional standard deviations of the spectrogram
associated with the STLCT is discussed.Comment: 10 page