Extended bilinear transform and multirate technique based approach for analog-to-digital transform

ABSTRACT

In this paper, a new transformation polynomial for $s$-to-$z$ plane is presented. This third-order transformation is derived by optimising the coefficients of the logarithmic series followed by utilising the multirate technique to extend its bandwidth. In terms of magnitude and phase response, the proposed transform correlates well with the ideal and shows mean absolute magnitude error and mean absolute phase error as $-40$ dB and $-132.04$ dB, respectively. The proposed transform is compared with the existing operators to demonstrate its performance. In addition, an example is also conferred, which establishes the viability of the transform in terms of the overall frequency response, when applied for analog-to-digital transformation.

KEYWORDS:

• Digital filters
• extended bilinear transforms
• optimised operator
• s-to-z transform
• signal processing

Disclosure statement

No potential conflict of interest was reported by the author(s).