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- W2187117907 abstract "A simple method for approximation of all-pole re- cursive digital filters, directly in digital domain, is described. Transfer function of these filters, referred to as Ultraspheri- cal filters, is controlled by order of the Ultraspherical poly- nomial, n. Parameter n, restricted to be a non-negative real number (n 0), controls ripple peaks in the passband of the magnitude response and enables a trade-off between the passband loss and the group delay response of the result- ing filter. Chebyshev filters of the first and of the second kind, and also Legendre and Butterworth filters are shown to be special cases of these all-pole recursive digital filters. Closed form equations for the computation of the filter co- efficients are provided. The design technique is illustrated with examples." @default.
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- W2187117907 date "2014-01-01" @default.
- W2187117907 modified "2023-09-27" @default.
- W2187117907 title "All-Pole Recursive Digital Filters Design Based on Ultraspherical Polynomials" @default.
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