On the phase interpolation problem — A brief review and some new results

Dutta Roy, S. C. and Minocha, Shailey (1991). On the phase interpolation problem — A brief review and some new results. Sadhana, 16(3) pp. 225–239.

DOI: https://doi.org/10.1007/BF02812044

Abstract

Reconstruction of a signal from the phase of its Fourier transform is important and useful in a variety of practical applications. In this paper, we give a brief review of the previous results and develop some new ones pertaining to the phase-only reconstruction problem. The review includes conditions under which the signal is uniquely specified by its Fourier transform phase and some algorithms for performing the reconstruction. New results consist of an extension of a previous technique and an explicit formula for reconstruction. A number of potential applications of the reconstruction techniques are briefly mentioned in the concluding section.

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• Item ORO ID
• 22831
• Item Type
• Journal Item
• ISSN
• 0256-2499
• Keywords
• digital signal processing; Fourier transform; phase interpolation; signal reconstruction
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Computing and Communications
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Research Group
• Centre for Research in Computing (CRC)
• Related URLs
• • http://mcs.open.ac.uk/sm577(Author Website)
  • http://oro.open.ac.uk/20826(Publication)
  • http://oro.open.ac.uk/20844/(Publication)
  • http://oro.open.ac.uk/21352/(Publication)
  • http://oro.open.ac.uk/21351/(Publication)
• Depositing User
• Shailey Minocha