Wigner distribution moments associated with the linear canonical transform

International Journal of Electronics

Volumn 100, Issue 4, 2013, Pages 473-481

  Yan, Jun Ping ^a   Li, Bing Zhao ^a   Chen, Yi Hong ^a   Cheng, Qi Yuan ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Linear canonical transform series; Moments; Wigner distribution

Indexed keywords

EID: 84996481497     PISSN: 00207217     EISSN: 13623060     Source Type: Journal    
DOI: 10.1080/00207217.2012.713018     Document Type: Article

References (23)

1. Abu-Mostafa, Y.S., and Psaltis, D. (1984), ‘Recognitive Aspects of Moment Invariants’, IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 698-706.
2. Alieva, T., and Bastiaans, M.J. (2000), ‘On Fractional Fourier Transform Moments’, IEEE Signal Processing Letters, 7, 320-323.
3. Bai, R.-F., Li, B.-Z., and Cheng, Q.-Y. (2012), ‘Wigner-Ville Distribution Associated with the Linear Canonical Transform’, Journal of Applied Mathematics, 2012, 1-11.
4. Bastiaans, M.J., and Alieva, T. (2002), ‘Wigner Distribution Moments in Fractional Fourier Transform Systems’, Journal of the Optical Society of America, 19, 1763-1773.
5. Belkasim, S.O., Shridhar, M., and Ahmadi, M. (1991), ‘Pattern Recognition with Moment Invariants: A Comparative Study and New Results’, Pattern Recognition, 24, 1117-1138.
6. Che, T.-W., Li, B.-Z., and Xu, T.-Z. (2012), ‘The Ambiguity Function Associated with the Linear Canonical Transform’, EURASIP Journal on Advances in Signal Processing, 138, 1-14.
7. Ding, J.-J., and Pei, S.-C. (2011), ‘Eigenfunctions and Self-imaging Phenomena of the Twodimensional Nonseparable Linear Canonical Transform’, Journal of the Optical Society of America, 28, 82-95.
8. Flusser, J., and Suk, T. (1993), ‘Pattern Recognition by Affine Moment Invariants’, Pattern Recognition, 26, 167-174.
9. Hu, M.K. (1962), ‘Visual Pattern Recognition by Moment Invariants’, IRE Transactions on Information Theory, 8, 179-187.
10. James, D.F.V., and Agarwal, G.S. (1996), ‘The Generalised Fresnel Transform and its Applications to Optics’, Optics Communications, 126, 207-212.
11. Li, B.-Z., Tao, R., and Wang, Y. (2007), ‘New Sampling Formulae Related to Linear Canonical Transform’, Signal Processing, 87, 983-990.
12. Li, B.-Z., and Xu, T.-Z. (2012), ‘Spectral Analysis of Sampled Signals in the Linear Canonical Transform Domain’, Mathemathical Problems in Engineering, 2012, 19.
13. Liu, S.T., and Tsai, W.H. (1990), ‘Moment-preserving Corner Detection’, Pattern Recognition, 23, 441-446.
14. Lo, C.H., and Don, H.S. (1989), ‘3-D Moment Forms: Their Construction and Application to Object Identification and Positioning’, IEEE Transactions on Pattern Analysis and Machine Intelligence, 11, 1053-1064.
15. Luo, L.M., Hamitouche, C., Dillenseger, J.L., and Coatrieux, J.L. (1993), ‘A Moment-based Threedimensional Edge Operator’, IEEE Transactions on Biomedical Engineering, 40, 693-703.
16. Moshinsky, M., and Quesne, C. (1971), ‘Linear Canonical Transformations and their Unitary Representations’, Journal of Mathematical Physics, 12, 1772-1783.
17. Ozaktas, H.M., Kutay, M.A., and Zalevsky, Z. (2000), The Fractional Fourier Transform with Applications in Optics and Signal Processing, New York: Wiley.
18. Tao, R., Li, B.-Z., and Wang, Y. (2008), ‘On Sampling of Bandlimited Signals Associated with the Linear Canonical Transform’, IEEE Transactions on Signal Processing, 56, 5454-5464.
19. Teh, C.H., and Chin, R.T. (1988), ‘On Image Analysis by the Methods of Moments’, IEEE Transactions on Pattern Analysis and Machine Intelligence, 10, 496-513.
20. Teague, M.R. (1980), ‘Image Analysis via the General Theory of Moments’, Journal of the Optical Society of America, 70, 920-930.
21. Tuceryan, M. (1994), ‘Moment-based Texture Segmentation’, Pattern Recognition Letters, 15, 659-668.
22. Wei, D., Ran, Q., and Li, Y. (2011), ‘Reconstruction of Band-limited Signals from Multichannel and Periodic Non-Uniform Samples in the Linear Canonical Transform Domain’, Optics Communications, 284, 4307-4315.
23. Yokoya, N., and Levine, M.D. (1989), ‘Range Image Segmentation Based on Differential Geometry: A Hybrid Approach’, IEEE Transactions on Pattern Analysis and Machine Intelligence, 11, 643-649.