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Acoustics, Speech, and Signal Processing, IEEE International Conference on (1999)
Phoenix, AZ, USA
Mar. 15, 1999 to Mar. 19, 1999
ISBN: 0-7803-5041-3
pp: 1365-1368
T. Przebinda , Dept. of Math., Oklahoma Univ., Norman, OK, USA
We use a new uncertainty measure, H/sub p/, that predicts the compactness of digital signal representations to determine a good (non-orthogonal) set of basis vectors. The measure uses the entropy of the signal and its Fourier transform in a manner that is similar to the use of the signal and its Fourier transform in the Heisenberg uncertainty principle. The measure explains why the level of discretization of continuous basis signals can be very important to the compactness of representation. Our use of the measure indicates that a mixture of (non-orthogonal) sinusoidal and impulsive or "blocky" basis functions may be best for compactly representing signals.

V. DeBrunner, T. Przebinda and M. Ozaydin, "Using a new uncertainty measure to determine optimal bases for signal representations," 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99(ICASSP), Phoenix, AZ, USA, 1999, pp. 1365-1368.
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