Formulation of some useful theorems for S-transform

作者：Ranjan Rajeev^*; Singh A K; Jindal Neeru

来源：Optik, 2018, 168: 913-919.

DOI：10.1016/j.ijleo.2018.05.009

• Convolution theorem
• Correlation theorem
• Parseval's theorem
• S-transform
• Time-frequency analysis

The S-transform (ST), which is an important tool in signal processing, is a conceptual principle of the Fourier transform (FT) with a Gaussian window function. It has been observed from literature study that only linearity, scaling, time-shifting and convolution theorem of ST is documented. This led to the finding of remaining properties of ST in order to establish it as complete transform technique. Along with this a new better definition of convolution theorem for ST is also presented. Therefore this paper is focused on formulation of properties such as time-reversal, time derivatives, complex conjugate, convolution theorem, correlation theorem and Parseval's theorem. A comparative analysis of existing convolution theorem with proposed convolution theorem is also given in this manuscript.

• 出版日期2018