AES E-Library

AES E-Library

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

Document Thumbnail

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.

JAES Volume 70 Issue 9 pp. 674-689; September 2022
Publication Date:

Click to purchase paper as a non-member or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!

This paper costs $33 for non-members and is free for AES members and E-Library subscribers.

Learn more about the AES E-Library

E-Library Location:


Start a discussion about this paper!

AES - Audio Engineering Society