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Abstract: fFor equiripple filters, the relation among the filter length N +1, the transition bandwidth 1!, and the optimal passband and stopband errors ffi p and ffi s has been a secret for more than 20 years. This paper is aimed at solving this mystery. We derive the exact asymptotic results in the weightfree case ffi p = ffi s = ffi, which enables us to interpret and improve the existing empirical formulas. Our main results are finally combined into formula (17). In the transition band, the filter... (Update)
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BibTeX entry: (Update)
@misc{ shen-asymptotics,
author = "Jianhong Shen and Gilbert Strang",
title = "The Asymptotics of Optimal (Equiripple) Filters",
journal = "IEEE Trans. Signal Processing",
volume =" 47(4)",
pages ="1087-1098",
year ="1999",
url = "citeseer.ist.psu.edu/shen99asymptotics.html" }
Citations (may not include all citations):107 NJ: Prentice-Hall (context) - Vaidyanathan, Systems et al. - 1992
103 Theory and Application of Digital Signal Processing (context) - Rabiner, Gold - 1975
103 Introduction to Approximation Theory (context) - Cheney - 1966
66 Interpolation and Approximation by Rational Functions in the.. (context) - Walsh - 1965
44 Chebyshev approximation for nonrecursive digital filters wit.. (context) - Parks, McClellan - 1972
13 Extremal polynomials associated with a system of curves in t.. (context) - Widom - 1969
7 Elements of the Theory of Elliptic Functions (context) - Akhiezer - 1990
7 New York: Wiley (context) - Henrici, Computational - 1986
7 Dictionary of Conformal Representations (context) - Kober - 1957
6 On polynomial preconditioning and asymptotic convergence fac.. (context) - Freund - 1991
5 the degree of Chebyshev approximation on sets with several c.. (context) - Fuchs - 1978
3 Asymptotic behavior of a family of window functions used in .. (context) - Fuchs, Kaiser et al. - 1980
3 The potential theory of several intervals and its applicatio.. - Shen, Strang et al.
2 Nonrecursive digital filter design using the I 0 -sinh windo.. (context) - Kaiser - 1974
1 New York: McGraw-Hill (context) - Nehari, Mapping - 1952
1 New York: Springer-Verlag (context) - Nevanlinna, Functions - 1970
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