Although the FRFT has a number of unique properties, it cannot obtain information about local properties of the signal. In addition, the drawback of the short-time FRFT is that its time- and fractional-domain resolutions can not simultaneously be arbitrarily high. As a generalization of the WT, the FRWT combines the advantages of the WT and the FRFT, i.e., it is a linear transformation without cross-term interference and is capable of providing multiresolution analysis and representing signals in the fractional domain. Thus, the FRWT may be potentially useful in the signal processing community and will attract more and more attention.

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