@article{Thakulsukanant_Patanavijit_2016, place={Bangkok, Thailand}, title={Practical Programming Tutorial of Two Dimensional Discrete Fourier Transform (DFT) Based on MATLAB® for Both 2D Signals and Images}, volume={9}, url={https://li01.tci-thaijo.org/index.php/sdust/article/view/177744}, abstractNote={<p>The two-dimensional (2-D) Discrete Fourier Transform (DFT) and Inverse Discrete<br>Fourier Transform (IDFT) represent mathematical models for 2-D signals (such as digital<br>images and digital videos) in the frequency and spatial domains, respectively. Digital Image<br>Processing (DIP) has been implemented globally over the past two decades. Thus, 2-D<br>Discrete Fourier Transform (2-D DFT) is essential in terms of representing mathematical<br>models and analyzing 2-D signals and systems. In light of its importance, this article<br>presents a tutorial for 2-D DFT utilizing MATLAB® for both 2-D signals and images. The<br>analysis of the discrete signals are based on both spatial and frequency domains. The<br>theoretical basic of 2-D DFT is presented, followed by a tutorial based on synthetic and<br>real examples using MATLAB®.</p>}, number={1}, journal={Journal of Food Health and Bioenvironmental Science}, author={Thakulsukanant, Asst. Prof. Dr.Kornkamol and Patanavijit, Asst. Prof. Dr.Vorapoj}, year={2016}, month={Jan.}, pages={119–139} }