Lang, M. Optimal weighted phase equalization according to the l 1-norm. EURASIP SP, 27:87--98, April 1992. Home/Search Document Not in Database Summary Related Articles Check |
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Maximally Flat Lowpass Filters from Allpass Sums - Selesnick (1996) (Correct)
....it has become widely known that (i) low complexity structures with low roundoff noise behavior are available for allpass filters [29, 37] and (ii) they are useful components in a variety of applications. Indeed, while the traditional application of allpass filters appears to be phase equalization [6, 16], their uses in multirate filtering, filterbanks, notch filtering, recursive phase splitters and other applications have also been described [27, 32] Of particular recent interest has been the design of frequency selective filters realizable as a parallel combination of two allpasses, H(z) 1 2 ....
M. Lang. Optimal weighted phase equalization according to the l 1 -norm. Signal Processing, 27(1):87--98, April 1992.
Allpass Filter Design And Applications - Markus Lang Dept Self-citation (Lang) (Correct)
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Lang, M. Optimal weighted phase equalization according to the l 1-norm. EURASIP SP, 27:87--98, April 1992.
Allpass Filter Design And Applications - Lang (1995) (5 citations) Self-citation (Lang) (Correct)
....problems. It is not clear whether the solution is unique or how the optimal solution is characterized. Consequently none of the proposed algorithms is shown to converge to the L2 solution. These difficulties arise because the approximation problem is nonlinear. On the contrary, it can be shown [3, 7, 8] that for the L1 problem the solution is uniquely characterized by the alternation theorem. Furthermore, there exists an efficient Remez type algorithm which is guaranteed to converge. It is worthwhile mentioning that most publications dealing with the L1 problem do not utilize these results. ....
....L1 norm or Chebyshev norm of the weighted phase error eb( Omega Gamma = Gb( Omega Gamma [bA( Omega Gamma Gamma 0 Omega b0 Gamma bpre( Omega Gamma7 (3) with respect to the coefficients p and the parameters 0 , b0 . These two additional parameters may be used for the equalization problem [7, 8, 9] and the adaptation of a phase offset for bandpass filters, respectively. If not needed they are simply set to zero in Eq. 3) Note that the approximation problem is nonlinear since the parameters p appear nonlinearly in the error function. a) X(z) Hg (z) HA (z) Y (z) H(z)X(z) b) ....
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Lang, M. Optimal weighted phase equalization according to the l 1-norm. EURASIP SP, 27:87--98, April 1992.
A New Class Of Approximately Linear Phase Filters - Garca (1997) (Correct)
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M. Lang "Optimal weighted phase equalization according to the L# norm" EURASIP Signal Processing , vol 27 no 1, pp 87-98, Apr 1992.
Self-Stabilized Adaptive Allpass Filters For Phase.. - Sun, Douglas (2000) (Correct)
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M. Lang, "Optimal weighted phase equalization according to the L1 -norm," Signal Processing, vol. 27, no. 1, pp. 87-98, Apr. 1992.
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