Abstract
The problems of two-dimensional signals processing on the base of two-Dimensional Discrete Fourier Transform (2D DFT) are considered. A general definition and mathematical description of two-dimensional discrete signal is given. The algebraic form of 2D DFT is presented, the basic properties of 2D DFTs are briefly considered. The system analysis of the application of two-dimensional signal processing methods based on 2D DPF is carried out. The advantages and disadvantages of digital methods for discrete two-dimensional processing based on 2D DFT are considered. It is shown that the two-dimensional version of the discrete canonical decomposition of random signals proposed by Pugachev implies (by default) a modification of the standard cyclic two-dimensional correlation function of the original signal. A working hypothesis is proposed for solving the problem of discrete two-dimensional signal processing in the spatial-frequency domain.
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Ponomarev, A.V. (2020). Systems Analysis of Discrete Two-Dimensional Signal Processing in Fourier Bases. In: Favorskaya, M., Jain, L. (eds) Advances in Signal Processing. Intelligent Systems Reference Library, vol 184. Springer, Cham. https://doi.org/10.1007/978-3-030-40312-6_7
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DOI: https://doi.org/10.1007/978-3-030-40312-6_7
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