The possibility of using the windowed Fourier transform and wavelet transform for digital signal processing

Purpose: considers the issue of which is better, the windowed Fourier transform or the wavelet transform, for signal analysis. The digital signal processing methods of the Fourier transform, Fast Fourier transform and wavelet transform, their advantages and disadvantages are analyzed. Methods: digital signal processing methods are used: Fourier transforms, Fast Fourier transforms, windowed Fourier transforms and wavelet transforms. Results: the application of these digital signal processing methods (Fourier and windowed Fourier transforms) for the analysis of stationary signals and the wavelet transform or bursts for the analysis of pronounced non–stationary signals is presented. Practical significance: a comparison of the wavelet and Fourier transforms is made. The similarities and differences between the methods of the windowed Fourier transform and the discrete wavelet transform are considered and illustrated. A comparative analysis of these two methods of time-frequency decomposition of signals is carried out.

Authors: S. G. Podkletnov

Direction: Informatics, Computer Technologies And Control

Keywords: Fourier transform, Discrete Fourier transform (DFT), Fast Fourier transform (FFT), windowed Fourier transform, wavelet transform, digital signal processing

---

View full article