A class of low-noise computationally efficient recursive digital filters with applications to sampling rate alterations

摘要: A new structure for multiband recursive digital filters is proposed. For meeting low-pass filter specifications, it uses fewer multiplications than conventional elliptic realizations. An approximation to the minimax solution obtained numerically by minimizing LP error norm. The analytic optimum odd order of this class turns out be itself, but in a configuration. Analytic also used decimation/interpolation factor 2. There are several realizations structure, choice which depends on location poles and zeros. Some selected always have low roundoff noise small limit cycle bounds.