Multicomponent Multidimensional Signals

In this brief paper, we extend the notion of multicomponent signal into multiple dimensions. A definition for multidimensional instantaneous bandwidth is presented and used to develop criteria for determining the multicomponent nature of a signal. We demonstrate application of the criteria by testing the validity of a multicomponent interpretation for a complicated nonstationary texture image.

[1]  L. Mandel.  Interpretation of Instantaneous Frequencies , 1974 .

[2]  Petros Maragos,et al.  Modulation models for image processing and wavelet-based image demodulation , 1992, [1992] Conference Record of the Twenty-Sixth Asilomar Conference on Signals, Systems & Computers.

[3]  Dennis Gabor,et al.  Theory of communication , 1946 .

[4]  Leon Cohen,et al.  What is a multicomponent signal? , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  L. Cohen.  Distributions concentrated along the instantaneous frequency , 1990 .

[6]  Alan C. Bovik,et al.  The analytic image , 1997, Proceedings of International Conference on Image Processing.

[7]  J. Ville.  THEORY AND APPLICATION OF THE NOTION OF COMPLEX SIGNAL , 1958 .

[8]  D. Gabor.  Theory of communication. Part 3: Frequency compression and expansion , 1946 .

[9]  Alan C. Bovik,et al.  The multicomponent AM-FM image representation , 1996, IEEE Trans. Image Process..

[10]  Leon Cohen,et al.  Instantaneous Frequency, Its Standard Deviation And Multicomponent Signals , 1988, Optics & Photonics.