, Using Lemma 18 and the Bezout equation
Image analysis using a dual-tree m-band wavelet transform, IEEE Transactions on Image Processing, vol.15, issue.8, pp.2397-2412, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00621948
Ten lectures on wavelets, vol.61, 1992. ,
Sobolev characterization of solutions of dilation equations, SIAM Journal on Mathematical Analysis, vol.23, issue.4, pp.1015-1030, 1992. ,
Wavelets and recursive filter banks, IEEE Transactions on Signal Processing, vol.41, issue.8, pp.2536-2556, 1993. ,
The dual-tree complex wavelet transform: A new efficient tool for image restoration and enhancement, Proc. European Signal Processing Conf, pp.319-322, 1998. ,
The dual-tree complex wavelet transform: A new technique for shift invariance and directional filters, Proc. 8th IEEE DSP Workshop, 1998. ,
A dual-tree complex wavelet transform with improved orthogonality and symmetry properties, Proc. IEEE Int. Conf. Image Processing, vol.2, pp.375-378, 2000. ,
On the analytic wavelet transform, IEEE Transactions on Information Theory, vol.56, issue.8, pp.4135-4156, 2010. ,
A new class of almost symmetric orthogonal Hilbert pair of wavelets, Signal Processing, vol.95, pp.76-87, 2014. ,
Application of dual tree complex wavelet transform in tandem mass spectrometry, Computers in biology and medicine, vol.63, pp.36-41, 2015. ,
Orthonormal compactly supported wavelets with optimal sobolev regularity: Numerical results, Applied and Computational Harmonic Analysis, vol.10, issue.1, pp.93-98, 2001. ,
On the phase condition and its solution for Hilbert transform pairs of wavelet bases, IEEE Trans. Signal Processing, vol.51, issue.12, pp.3293-3294, 2003. ,
Hilbert transform pairs of wavelet bases, Signal Processing Letters, vol.8, issue.6, pp.170-173, 2001. ,
The design of approximate Hilbert transform pairs of wavelet bases, IEEE Transactions on, vol.50, issue.5, pp.1144-1152, 2002. ,
The dual-tree complex wavelet transform, Signal Processing Magazine, vol.22, issue.6, pp.123-151, 2005. ,
Designing Hilbert-pair of wavelets: recent progress and future trends, 6th International Conference on, pp.1-5, 2007. ,
A new approach to the common-factor design technique for Hilbert-pair of wavelets, IEEE Signal Processing Letters, vol.17, issue.11, pp.969-972, 2010. ,
Orthonormal Hilbert-pair of wavelets with (almost) maximum vanishing moments, IEEE Signal Processing Letters, vol.13, issue.9, pp.533-536, 2006. ,
Recursive digital filters with maximally flat group delay. Circuit Theory, IEEE Transactions on, vol.18, issue.6, pp.659-664, 1971. ,
Filter banks allowing perfect reconstruction, Signal processing, vol.10, issue.3, pp.219-244, 1986. ,
Energy moments in time and frequency for two-scale difference equation solutions and wavelets, SIAM journal on mathematical analysis, vol.23, issue.6, pp.1519-1543, 1992. ,
Enhancement of signal denoising and multiple fault signatures detecting in rotating machinery using dual-tree complex wavelet transform, Mechanical Systems and Signal Processing, vol.24, issue.1, pp.119-137, 2010. ,
Time-varying spectral analysis in neurophysiological time series using Hilbert wavelet pairs, Signal Processing, vol.85, issue.11, pp.2065-2081, 2005. ,
, Waveslim. R project, 2015.