Least-squares migration using complex wavelets
نویسندگان
چکیده
The use of a complex wavelet transform with similar properties to the DT-CWT in seismic processing was suggested in Fernandes (2001). A wavelet basis was used for linear inversion with application to well logging in Li et. al., (1996), using a fully decimated wavelet transform and the Haar wavelet. However, the transform used does not have the shift invariance and directional selectivity properties of the DT-CWT. Wavelets have also been used in other linearized inverse scattering problems (Miller and Willsky, 1996). Wavelet bases have a reputation for decorrelating or diagonalizing a range of non-stationary signals. This has lead to extensive use of wavelet bases in the area of information coding and compression. In LSM, diagonalization of the model space affords a more accurate but practical representation of prior information about the model parameters. This prior information is incorporated in the constraint term of the cost function that is minimized.
منابع مشابه
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