Time-frequency kernel design via point and derivative constraints

  • Authors:
  • M. G. Amin;J. F. Carroll

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., Villanova Univ., PA, USA;Dept. of Electr. & Comput. Eng., Villanova Univ., PA, USA

  • Venue:
  • ICASSP '94 Proceedings of the Acoustics, Speech, and Signal Processing,1994. on IEEE International Conference - Volume 04
  • Year:
  • 1994

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Abstract

Point and derivative constraints are used to provide a wide class of kernels suitable for time-frequency representation of signals. The kernel design is viewed as a solution of linearly constrained minimization problem in which the desired t-f linear constraints constitute a constraint matrix and the time-frequency kernel is one dimensional. This formulation permits a closed form solution; similar to that encountered in beamforming, where the Quiescent pattern corresponds to the Born-Jordan kernel. The constraint matrix can be augmented by derivative constraints which extend the solution space to include kernels with various characteristics.