2002Unpublished venueRequires access

Allpass and lattice bilinear digital ladder filters

Lennart Harnefors, S. Signell, K. Mossberg

Open publisher page 6 citations

Abstract

A new design method for allpass bilinear digital ladder filters is presented. The method can be used for design of lattice filters; odd order lowpass filters as well as filters that can be obtained from these by frequency transformations. The resulting structure has a canonical number of multipliers and delays. The filter coefficients are obtained from the coefficients of the desired pole polynomial using simple recursion formulas. A design example for a fifth order elliptic lowpass filter is given, and the filter is analyzed and compared to a lattice wave digital realization.

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What this paper is about

A new design method for allpass bilinear digital ladder filters is presented. The method can be used for design of lattice filters; odd order lowpass filters as well as filters that can be obtained from these by frequency transformations. The resulting structure has a canonical number of multipliers and delays. The filter coefficients are obtained from the coefficients of the desired pole polynomial using simple recursion formulas. A design example for a fifth order elliptic lowpass filter is given, and the filter is analyzed and compared to a lattice wave digital realization.

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Available abstract

A new design method for allpass bilinear digital ladder filters is presented. The method can be used for design of lattice filters; odd order lowpass filters as well as filters that can be obtained from these by frequency transformations. The resulting structure has a canonical number of multipliers and delays. The filter coefficients are obtained from the coefficients of the desired pole polynomial using simple recursion formulas. A design example for a fifth order elliptic lowpass filter is given, and the filter is analyzed and compared to a lattice wave digital realization.

Key concepts: Prototype filter, All-pass filter, Digital filter, Network synthesis filters, Mathematics, Lattice phase equaliser, Filter design, Control theory (sociology)

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