Frequency-Domain Separable Decomposition of 2-Dimensional Systems

  • N. M. Mitrou
  • G. I. Stassinopoulos
  • E. N. Protonotarious
Part of the Applied Information Technology book series (AITE)


Fan filters in seismic data processing, directional filters in image processing and 2-D equalizers are but a few examples of 2-Dimensional systems described explicitly in the frequency domain. Current methods for handling such systems in a discrete form require an NxN sampling grid resulting in considerable design complexity and a high implementation cost.

The approach presented here consists of approximating a desired 2-Dimensional response function through decomposing it into a sum of L separable terms. The advantages gained by such a decomposition are the following:
  1. 1.

    The analysis and design problem is reduced to a 1-D one.

  2. 2.

    Application of parallel-processing techniques is allowed.

  3. 3.

    The number of elements required for the implementation is now 2xLxN; in the case where L << N, appreciable simplification and economy is obtained.


Applications are given through design examples of 2-D low-pass, fan and Wiener filtering.


Impulse Response Singular Value Decomposition Frequency Response Function Wiener Filter Effective Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • N. M. Mitrou
    • 1
  • G. I. Stassinopoulos
    • 2
  • E. N. Protonotarious
    • 2
  1. 1.Department of ElectronicsNuclear Research Center „Democritos“AttikiGreece
  2. 2.Division of Computer ScienceNational Technical University of AthensGreece

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