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Everything about Fast Algorithms for Multidimensional Signals

Similar to one-dimensional digital signal processing, in case of the multidimensional signal processing there are efficient algorithms. The efficiency of an algorithm can be evaluated by the amount of computational resources it takes to compute output or the quantity of interest. In this article, two of the very efficient algorithms for multidimensional signals are explained. For the sake of simplicity and description it is explained for two-dimensional signals. However, same theory holds good for higher-dimensional signals. The exact computational savings for each algorithm is also mentioned. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Fast Algorithms for Multidimensional SignalsA 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: Fast sparse reconstruction algorithm for multidimensional signalsCited 12 times
  4. Go sideways: Cooley–Tukey FFT algorithmA closely related topic
  5. Go sideways: Multidimensional transformA closely related topic

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