Fractional transforms not only enhance the overall signal processing applications but also
improved the efficacy of systems.
Recently, fractional S-transform (FrST) has played an important role in the area of signal and image processing. The ST is a hybrid of wavelet, and short time Fourier transform. In this paper, the definition, properties and applications areas of ST and FrST are focused. The aim of this survey is to study ST and FrST, formats, properties, applications, and open issues to encourage further research in the fields of digital signal processing (DSP) and other applications area of engineering.
Fractional S-transform is a short time Fourier transform which calculating may not cover complex signal problems. On the other hand, FFT helps in converting the time domain in frequency domain which makes the calculations easier as we always deal with various frequency bands in communication system another very big advantage is that it can convert the discrete data into a continuous data type available at various frequencies.
You can read the paper below for more details hope you fine it helpful thanks.
The S transform, which is a time-frequency representation known for its local spectral phase properties in signal processing, uniquely combines elements of wavelet transforms and the short-time Fourier transform (STFT). The fractional Fourier transform is a tool for non-stationary signal analysis. In this paper, we define the concept of the fractional S transform (FRST) of a signal, based on the idea of the fractional Fourier transform (FRFT) and S transform (ST), extend the S transform to the time-fractional frequency domain from the time-frequency domain to obtain the inverse transform, and study the FRST mathematical properties. The FRST, which has the advantages of FRFT and ST, can enhance the ST flexibility to process signals. Compared to the S transform, the FRST can effectively improve the signal time-frequency resolution capacity. Simulation results show that the proposed method is effective.
Fractional S transform — Part 1: Theory
De-Pin Xu AND Ke Guo
For more details we have:
Fractional S-Transform and Its Properties: A Comprehensive Survey
Rajeev Ranjan, , Neeru Jindal & A. K. Singh