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Time-frequency kernel design using point and derivative constraints

Author(s): J. Carroll, Moeness Amin
Year of Publication: 1994
ISBN: 0780317750 View in Library Catalog
Proceedings Title: International Conference on Acoustics, Speech, and Signal Processing, Vol. 4
Conference Location: Adelaide, SA
Conference Dates: Apr 19 - Apr 22, 1994
Start Page: IV/309
End Page: IV/312
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.