This article proposes a method suitable for discretizing continuous-time infinite impulse response filters with features near or above the Nyquist limit. The proposed method, called the Nyquist Band Transform (NBT), utilizes conformal mapping to pre-map a prototype continuous-time system, such that, when discretized through the bilinear transform, the discretized frequency response is effectively truncated at the Nyquist limit. The discretized system shows little frequency warping when compared with the original continuous-time magnitude response. The NBT is order-preserving, parametrizable, and agnostic to the original system's design. The efficacy of the NBT is demonstrated through a virtual analog modeling application.
Darabundit, Champ C.; Abel, Jonathan S.; Berners, David
Affiliation: Center for Computer Research in Music and Acoustics, Stanford University, Stanford, CA
JAES Volume 70 Issue 9 pp. 674-689; September 2022
Publication Date: September 12, 2022
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