Open AccessTime Frequency analysis of Non-Stationary signals by Differential frequency window S –Transform
Author(s) -
B. Murali Krishna,
M.B. Srinivas,
Srinivasan Gopal,
G L. P. Ashok
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i2.7.11086
Subject(s) - short time fourier transform , s transform , window function , instantaneous phase , fourier transform , time–frequency analysis , energy (signal processing) , harmonic wavelet transform , algorithm , continuous wavelet transform , fractional fourier transform , mathematics , constant q transform , wavelet transform , amplitude , computer science , wavelet , discrete wavelet transform , mathematical analysis , fourier analysis , spectral density , artificial intelligence , physics , statistics , telecommunications , optics , radar
The S transform is an extension of Short Time Fourier Transform and Wavelet transform, has a time frequency resolution which is far from ideal. A differential frequency window is proposed in this paper to enhance the time frequency energy localization. When a non stationary signal consists of abrupt amplitude variation equal to peak of Gaussian function at initial intervals of chosen guassian window, then some part of the signal amplitude will be nullified during transform projection. The major function of differential frequency window is to track all abrupt amplitude-frequency variations which exploits in non – stationary signals. A mathematical method namely Newton Raphson method is adopted for this trace. The proposed scheme is tested for ECG data in presence of noise environment and results shows that proposed algorithm produces better enhanced energy localization in comparison to the standard S – Transform, STFT, and CWT. Furthermore the above algorithm is implemented on FPGA for real time applications.