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Everything about Multidimensional discrete convolution

Mathematical operation in signal processing

In signal processing, multidimensional discrete convolution refers to the mathematical operation between two functions f and g on an n-dimensional lattice that produces a third function, also of n-dimensions. Multidimensional discrete convolution is the discrete analog of the multidimensional convolution of functions on Euclidean space. It is also a special case of convolution on groups when the group is the group of n-tuples of integers. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Multidimensional discrete convolutionA 5-minute orientation
  2. Pick up a classic book: Fast algorithms for signal processingThe most-reprinted book on the subject
  3. Read the landmark paper: Symmetric convolution of asymmetric multidimensional sequences using discrete trigonometric transformsCited 9 times
  4. Go sideways: Discrete Hartley transformA closely related topic
  5. Go sideways: Discrete Fourier transformA closely related topic

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