A limitation of the kernel method for joint distributions of arbitrary variables

IEEE Signal Processing Letters

Volumn 3, Issue 2, 1996, Pages 51-53

  Baraniuk, Richard G ^a,b  

^a Rice University   (United States)

^b IEEE

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; MATHEMATICAL OPERATORS;

JOINT DISTRIBUTIONS; KERNEL METHOD;

SIGNAL PROCESSING;

EID: 0030081465     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/97.484215     Document Type: Article

References (13)

1. L. Cohen, "Generalized phase space distribution functions," J. Math. Phys., vol. 7, pp. 781-786, 1966.
2. _, Time-Frequency Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1995.
3. O. Rioul and P. Flandrin, "Time-scale energy distributions: A general class extending wavelet transforms," IEEE Trans. Signal Processing, vol. 40, pp. 1746-1757, July 1992.
4. J. Bertrand and P. Bertrand, "A class of affine Wigner functions with extended covariance properties," J. Math. Phys., vol. 33, pp. 2515-2527, July 1992.
5. R. G. Shenoy and T. W. Parks, "Wide-band ambiguity functions and affine Wigner distributions," Signal Processing, vol. 41, no. 3, pp 339-363, 1995.
6. R. A. Altes, "Wideband, proportional-bandwidth Wigner-Ville analysis," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1005-1012, June 1990.
7. A. Papandreou, F. Hlawatsch, and G. F. Boudreaux-Bartels, "The hyperbolic class of quadratic time-frequency representations. Part I: Constant-Q warping, the hyperbolic paradigm, properties, and members,IEEE Trans. Signal Processing, vol. 41, pp. 3425-3444, Dec. 1993.
8. R. G. Baraniuk and D. L. Jones, "Unitary equivalence: A new twist on signal processing," IEEE Trans. Signal Processing, vol. 43, pp. 2269-2282, Oct. 1995.
9. R. G. Baraniuk and L. Cohen, "On joint distributions of arbitrary variables," IEEE Signal Processing Lett., vol. 2, pp. 10-12, Jan. 1995.
10. M. O. Scully and L. Cohen, "Quasi-probability distributions for arbitrary operators," in Proc. Nonlinear Dynamics Chaos, Geometric Quantization, Wigner Functions, Y. S. Kim and W. W. Zachary, Eds. Berlin: Springer-Verlag, 1987, pp. 253-263.
11. R. G. Baraniuk, "A signal transform covariant to scale changes," IEE Electron. Lett., vol. 29, pp. 1675-1676, Sept. 17, 1993.
12. A. M. Sayeed, "On the equivalence of the operator and kernel methods for joint distributions of arbitrary variables," IEEE Trans. Signal Processing, 1995 (preprint).
13. R. G. Baraniuk, "Marginals vs. covariance in joint distribution theory," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, ICASSP '95, vol. 2, 1995, pp. 1021-1024.