Approach for fast time-frequency analysis

S-transform (ST) is a time-frequency representation (TFR) that is popularly used in a variety of applications, but prohibitive in both storage and computation for large time series. This study proposes a one-dimensional fast time-frequency transform (FTFT-1D) which generates a highly compressed form of the ST directly, without the need to compute the complete ST matrix initially and compress it subsequently. The compression technique used in the FTFT-1D helps in storage, transmission and visualisation of the ST. The FTFT-1D encodes the TFR information uniformly and finds the local spectrum instantaneously and accurately. It is useful for real-time applications such as monitoring, control and filtering. In addition, the FTFT-1D is memory efficient, robust and adaptive in nature.