Vol.8, No.1, February 2019.                                                                                                                                                                             ISSN: 2217-8309

                                                                                                                                                                                                                        eISSN: 2217-8333


TEM Journal



Association for Information Communication Technology Education and Science

On the Development of STFT-analysis and ISTFT-synthesis Routines and their Practical Implementation




© 2019 Hristo ZHIVOMIROV, published by UIKTEN. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. (CC BY-NC-ND 4.0)


Citation Information: TEM Journal. Volume 8, Issue 1, Pages 56-64, ISSN 2217-8309, DOI: 10.18421/TEM81-07, February 2019.


Received: 10 December 2018.
Accepted: 29 January 2019.
Published: 27 February 2019.




This work introduces the development of two software routines for Short-Time Fourier Transform (STFT) and Inverse Short-Time Fourier Transform (ISTFT) along with know-how about their practical implementation. The proposed algorithms and the corresponding novel Matlab® functions form a conjugated analysis-synthesis pair and assist the time-frequency analysis, processing, resynthesis and visualization of real-world non-stationary signals. In the paper, background information is given about the mathematical framework of the STFT, ISTFT and the perfect reconstruction condition. Further, the proposed algorithms and routines are described, based on DFT, IDFT and the overlap-add (OLA) synthesis approach. Comprehensive notes and recommendations are given concerning the applied aspects of their usage. Finally, examples are provided to confirm the consistency of the algorithms and routines, including analysis, spectral modification and resynthesis of non-stationary signals, along with example for the outperformance of the proposed analysis function in comparison with the corresponding in-built Matlab® function.


Keywords – STFT, ISTFT, analysis, synthesis, development, routine.



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