Sampling and discretization of the linear canonical transform

  • Authors:

  • John J. Healy;John T. Sheridan

  • Affiliations:

  • School of Electrical, Electronic and Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland and Optoelectronic Research Centre, University College Dublin, Belfield, Dublin ...;School of Electrical, Electronic and Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland and Optoelectronic Research Centre, University College Dublin, Belfield, Dublin ...

  • Venue:
  • Signal Processing
  • Year:
  • 2009

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Abstract

The numerical approximation of the linear canonical transform (LCT) is of importance in modeling first order optical systems and many signal processing applications. We have considered an approach based on discretizing the continuous LCT, making careful consideration of the consequences for the range and resolution of the output.