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Everything about Multidimensional signal processing

In signal processing, multidimensional signal processing covers all signal processing done using multidimensional signals and systems. While multidimensional signal processing is a subset of signal processing, it is unique in the sense that it deals specifically with data that can only be adequately detailed using more than one dimension. In m-D digital signal processing, useful data is sampled in more than one dimension. Examples of this are image processing and multi-sensor radar detection. Both of these examples use multiple sensors to sample signals and form images based on the manipulation of these multiple signals. Processing in multi-dimension (m-D) requires more complex algorithms, compared to the 1-D case, to handle calculations such as the fast Fourier transform due to more degrees of freedom. In some cases, m-D signals and systems can be simplified into single dimension signal processing methods, if the considered systems are separable. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Multidimensional signal processingA 5-minute orientation
  2. Skim a recent paper: Multidimensional Signal Processing for High Areal Density Heated-Dot Magnetic RecordingInfluential work since 2022
  3. Pick up a classic book: New Approaches for Multidimensional Signal ProcessingThe most-reprinted book on the subject
  4. Read the landmark paper: Tensor Algebra and Multidimensional Harmonic Retrieval in Signal Processing for MIMO RadarCited 299 times
  5. Go sideways: Multidimensional discrete convolutionA closely related topic
  6. Go sideways: Filter bankA closely related topic

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