The document proposes implementing a new algorithm for the S transform that has lower computational complexity. It describes the S transform as a time-frequency decomposition tool discovered in 1994 that uses a frequency-dependent variable window to provide better frequency-dependent resolution in the time-frequency domain compared to other transforms like STFT, DWT, and Wigner-Ville, while introducing less noise. It notes that the current algorithms for the S transform need improvement in terms of computational efficiency.

2. • Implement a new algorithm of S transform which involves
lesser computational complexity.
• Estimate power quality indices and time-frequency analysis of
power signals using that algorithm.

3. • Discovered in 1994 by Stockwell and his coworkers for geophysical
data analysis as time frequency decomposition tool.
• Utilizes frequency dependent variable window so that window width
should be adjusted according to frequency present in power signal.
• Thus gives frequency dependent resolution and hence better signal
clarity in time-frequency domain
• Only few algorithm of S Transform have been given till now and even
these needs improvement

4. • Provides better, frequency dependent(STFT) resolution in time-
frequency(DWT) domain with least noise(Wigner-Ville/DWT)
• Gives information about relative amplitude of various sinusoids
present in signal at any time
• Information about absolute phase of sinusoids at any time
• Frequency marginal gives FT of signal and hence signal can be
recovered easily by inverse FT

5. STFT
C:UsersshantanuDocumentsMATLABprojectstft
programsstft_varring_window.m
DWT
C:UsersshantanuDocumentsMATLABprojectwaveletmost_significant_wa
velet_untill_now1.m
Wigner
C:UsersshantanuDocumentsMATLABshanprojectwigner ville distribution
function not transformwigner distribution.m
Stockwell
C:UsersshantanuDocumentsMATLABprojectS transformmy_stran.m

6. • As it involves multiplication of three terms thus large no. of additions
and multiplications have to be calculated.

7. • Selective frequency scaling
• Window cropping

9. THANK YOU