The DRFT-a rotation in time-frequency space

  • Authors:
  • B. Santhanam;J. H. McClellan

  • Affiliations:
  • Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA;Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

  • Venue:
  • ICASSP '95 Proceedings of the Acoustics, Speech, and Signal Processing, 1995. on International Conference - Volume 02
  • Year:
  • 1995

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Abstract

The continuous-time angular Fourier transformation (AFT) represents a rotation in continuous time-frequency space and also serves as an orthonormal signal representation for chirp signals. We present a discrete version of the AFT (DRFT) that represents a rotation in discrete time-frequency space and some properties of the transform that support its interpretation as a rotation. The transform is a generalization of the DFT. The eigenvalue structure of the DFT is then exploited to develop an efficient algorithm for the computation of this transform.