Abstract
This correspondence describes an analytical approach to the design of nonrecursive digital filters where Chebyshev functions are used to obtain filter transfer characteristics with equiripple behavior in both the passband and stopband. The resulting filters are of length 2n <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</inf> n <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">s</inf> + 1 compared with optimal filters of length 2(n <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</inf> + n <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">s</inf> ) - 1.
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