Abstract
A new numerical algorithm is presented which determines the coefficients of a low-pass nonequal-ripple modified Chebyshev function with multiplicity of the dominant root pair greater than one; as a result its degree is higher than the corresponding Chebyshev polynomial but a much lower dominant root <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Q</tex> -factor <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Q_{c}</tex> is obtained. Intermediate modified Chebyshev functions with higher transition region attenuation and therefore increased <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Q_{c}</tex> are also discussed.
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