AES E-Library

CH. C.. Darabundit, JO. S.. Abel, and D. Berners, "Nyquist Band Transform: An Order-Preserving Transform for Bandlimited Discretization," J. Audio Eng. Soc., vol. 70, no. 9, pp. 674-689, (2022 September.). doi: https://doi.org/10.17743/jaes.2022.0044 CH. C.. Darabundit, JO. S.. Abel, and D. Berners, "Nyquist Band Transform: An Order-Preserving Transform for Bandlimited Discretization," J. Audio Eng. Soc., vol. 70 Issue 9 pp. 674-689, (2022 September.). doi: https://doi.org/10.17743/jaes.2022.0044
Abstract: 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.

@article{darabundit2022nyquist,
author={darabundit, champ c. and abel, jonathan s. and berners, david},
journal={journal of the audio engineering society},
title={nyquist band transform: an order-preserving transform for bandlimited discretization},
year={2022},
volume={70},
number={9},
pages={674-689},
doi={https://doi.org/10.17743/jaes.2022.0044},
month={september},} @article{darabundit2022nyquist,
author={darabundit, champ c. and abel, jonathan s. and berners, david},
journal={journal of the audio engineering society},
title={nyquist band transform: an order-preserving transform for bandlimited discretization},
year={2022},
volume={70},
number={9},
pages={674-689},
doi={https://doi.org/10.17743/jaes.2022.0044},
month={september},
abstract={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.},}

TY - paper
TI - Nyquist Band Transform: An Order-Preserving Transform for Bandlimited Discretization
SP - 674 EP - 689
AU - Darabundit, Champ C.
AU - Abel, Jonathan S.
AU - Berners, David
PY - 2022
JO - Journal of the Audio Engineering Society
IS - 9
VO - 70
VL - 70
Y1 - September 2022 TY - paper
TI - Nyquist Band Transform: An Order-Preserving Transform for Bandlimited Discretization
SP - 674 EP - 689
AU - Darabundit, Champ C.
AU - Abel, Jonathan S.
AU - Berners, David
PY - 2022
JO - Journal of the Audio Engineering Society
IS - 9
VO - 70
VL - 70
Y1 - September 2022
AB - 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.