Fractional S-Transform and Its Properties: A Comprehensive Survey

In time–frequency analysis, generalization of S-transform (ST) is known as fractional S-transform. 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. In this article, firstly the several transforms that are related to ST as well as FrST are described and in the second part, comprehensive and exhaustive facts on the use of S-transform reviews and FrST in the area of DSP are enlightened. This transform technique is used for detection of LFM signal in the presence of echo.