H. Zou and A. H. Tewfik, "Discrete orthogonal, M-band wavelet decomposition, " in Proc. Int. Conf. Acoustics, Speech, and Signal Processing, vol. 4, 1992, pp. IV--605--IV--608.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....a finite number of stages we still have a discrete time sequence. In the limit, however, p 1 (26) will tend to a continuous time function provided that the infinite product converges. Convergence of products of this kind were examined in the case for M = 2 in [16, 44, 45] and for arbitrary M in [46, 27, 47]. A sufficient condition given for convergence in [27, 47] is that P (z) should have an adequate number of zeros at the M th roots of unity k = e j2 k=M ; k = 1; 2; Delta Delta Delta M Gamma 1: It can also be shown that at least one such zero at each of these frequencies is necessary. ....

....In the limit, however, p 1 (26) will tend to a continuous time function provided that the infinite product converges. Convergence of products of this kind were examined in the case for M = 2 in [16, 44, 45] and for arbitrary M in [46, 27, 47] A sufficient condition given for convergence in [27, 47] is that P (z) should have an adequate number of zeros at the M th roots of unity k = e j2 k=M ; k = 1; 2; Delta Delta Delta M Gamma 1: It can also be shown that at least one such zero at each of these frequencies is necessary. In Figure 5 (a) we show the iteration of the 2 fold ....

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H. Zhou and A. H. Tewfik, "Discrete orthogonal M band wavelet decomposition," in Proc. IEEE Int. Conf. ASSP, (San Francisco, CA), pp. IV: 605--609, April 1992.

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H. Zou and A. H. Tewfik, "Discrete orthogonal, M-band wavelet decomposition, " in Proc. Int. Conf. Acoustics, Speech, and Signal Processing, vol. 4, 1992, pp. IV--605--IV--608.

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