Nyquist Band Transform: An Order-Preserving Transform for Bandlimited Discretization

Darabundit CC, Abel JS, Berners D. Nyquist Band Transform: An Order-Preserving Transform for Bandlimited Discretization. J Audio Eng Soc. 2022;70(9):674-689. doi:10.17743/jaes.2022.0044

@article{Darabundit2022_21881,
  author = {Darabundit, Champ C. and Abel, Jonathan S. and Berners, David},
  title = {{Nyquist Band Transform: An Order-Preserving Transform for Bandlimited Discretization}},
  journal = {Journal of the Audio Engineering Society},
  volume = {70},
  number = {9},
  pages = {674--689},
  year = {2022},
  month = sep,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2022.0044},
  url = {https://doi.org/10.17743/jaes.2022.0044}
}

TY  - JOUR
TI  - Nyquist Band Transform: An Order-Preserving Transform for Bandlimited Discretization
AU  - Darabundit, Champ C.
AU  - Abel, Jonathan S.
AU  - Berners, David
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 70
IS  - 9
SP  - 674
EP  - 689
PY  - 2022
DA  - 2022/09/06
DO  - 10.17743/jaes.2022.0044
UR  - https://doi.org/10.17743/jaes.2022.0044
PB  - Audio Engineering Society
LA  - en
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.
ER  -