The concepts of systems and Fourier transforms are easily applied to signals with more than one independent variable, or dimension. Images and movies are common multidimensional signals. This lesson shows you how to extend your knowledge of one dimensional continuous-time signals to two dimensional continuous-space signals. You will learn the form for two-dimensional convolution and the two-dimensional Fourier transform and how the two-dimensional Fourier transform converts convolution in space to multiplication in frequency. Understanding the extension of these concepts to two dimensions will prepare you for three and higher dimensional signal processing.
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