Analysis of the effect of the accuracy of the inverse discrete wavelet transform of images by the Winograd method for JPEG XS format
Abstract
Analysis of the effect of the accuracy of the inverse discrete wavelet transform of images by the Winograd method for JPEG XS format
Incoming article date: 19.02.2025In this paper, an inverse wavelet image transform method for JPEG XS format is proposed. The said format uses Le Gall wavelet filter and the lifting scheme is used as a wavelet transform. This method of wavelet processing of images and video signal has low computation speed. To improve the computation speed, it is proposed to use the Winograd method as this method allows parallel processing of groups of pixels. The paper analyses the impact of accuracy in obtaining high quality image for fixed point format computation. The simulation results show that processing of 2 pixels using Winograd's method is sufficient to use 3 decimal places to obtain high quality image. When processing 3 and 4 pixels of the image it is sufficient to use 7 decimal places each. When processing 5 pixels of the image it is enough to use 12 decimal places. A promising direction for further research is the development of hardware accelerators for performing the inverse discrete wavelet transform by the Winograd method.
Keywords: inverse discrete wavelet transform, Le Gall filter, Winograd method, image processing, digital filtering, JPEG XS