A new class of shift-invariant operators

IEEE Signal Processing Letters

Volumn 11, Issue 6, 2004, Pages 545-548

  Heikkilä, Janne ^a  

^a UNIVERSITY OF OULU   (Finland)

Author keywords

Bispectrum; Discrete Fourier transform; Moment invariants; Power spectrum; Translation invariance

Indexed keywords

CORRELATION THEORY; DISCRETE FOURIER TRANSFORMS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; SPECTRUM ANALYSIS; TWO DIMENSIONAL;

MOMENT INVARIANTS; POWER SPECTRUM; SHIFT INVARIANT OPERATORS; TRANSLATION INVARIANCE;

SIGNAL PROCESSING;

EID: 2942560381     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2004.827915     Document Type: Letter

References (13)

1. J. A. McLaughlin and J. Raviv, "Nth-order autocorrelations in pattern recognition," Inform. Contr., vol. 12, pp. 121-142, 1968.
2. T. Kurita, N. Otsu, and T. Sato, "A face recognition method using higher order local autocorrelation and multivariate analysis," in Proc. 11th IAPR Int. Conf. Pattern Recognition (ICPR'92), The Hague, The Netherlands, Aug. 1992, pp. 213-216.
3. J. M. Mendel, "Tutorial on higher-order statistics (spectra) in signal processing and system theory: Theoretical results and some applications," Proc. IEEE, vol. 79, pp. 278-305, 1991.
4. V. Chandran and S. L. Elgar, "Pattern recognition using invariants defined from higher order spectra - One-dimensional inputs," IEEE Trans. Signal Processing, vol. 41, pp. 205-212, 1993.
5. V. Chandran, B. Carswell, B. Boashash, and S. L. Elgar, "Pattern recognition using invariants defined from higher order spectra - 2-d image inputs," IEEE Trans. Image Processing, vol. 6, pp. 703-712, May 1997.
6. G. B. Giannakis and J. M. Mendel, "Identification of nonminimum phase systems using higher-order statistics," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 360-377, 1989.
7. B. Sadler and G. B. Giannakis, "Shift and rotation invariant object reconstruction using the bispectrum," J. Opt. Soc. Amer. A, vol. 9, pp. 57-69, 1992.
8. A. P. Petropulu and H. Pozidis, "Phase reconstruction from bispectrum slices," IEEE Trans. Signal Processing, vol. 46, pp. 527-530, 1998.
9. H. Reitboeck and T. P. Brody, "A transformation with invariance under cyclic permutation for applications in pattern recognition," Inform. Contr., vol. 15, no. 2, pp. 130-154, 1969.
10. M. Wagh and S. Kanetkar, "A class of translation invariant transforms," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, pp. 203-205, 1977.
11. M. K. Hu, "Visual pattern recognition by moment invariants," IEEE Trans. Inform. Theory, vol. IT-8, pp. 179-187, 1962.
12. J. Flusser, "On the independence of rotation moment invariants," Pattern Recognit., vol. 33, pp. 1405-1410, 2000.
13. S. A. Dianat and M. R. Raghuveer, "Fast algorithms for phase and magnitude reconstruction from bispectra," Opt. Eng., vol. 29, no. 5, pp. 504-512, 1990.