Real-time determination of IIR coefficients for cascaded Butterworth filters

Beginning with an s-domain description of the basic second-order RCL filter network, the digital filter equivalent is derived using the bilinear transformation. The resulting formulas describing the z-domain digital response are algebraically reduced to a form that gives some intuitive insight into...

Full description

Saved in:
Bibliographic Details
Main Authors: Hillman, G.D., Lane, J.E.
Format: Conference Proceeding
Language:English
Subjects:
Circuits
Cutoff frequency
Damping
Digital filters
Digital signal processing
Equations
IIR filters
Marine vehicles
Signal processing
Transfer functions
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Beginning with an s-domain description of the basic second-order RCL filter network, the digital filter equivalent is derived using the bilinear transformation. The resulting formulas describing the z-domain digital response are algebraically reduced to a form that gives some intuitive insight into the fundamental symmetry relationships between analog and digital filter structures. A simplified description of the digital filter coefficients whose form lends itself to real-time computational techniques is presented. This analysis is extended to the cascaded second-order network characterized by Butterworth damping factors, so that higher order filters can be designed and implemented in real-time using high-speed digital signal processors such as the DSP 56001 and DSP 96002.< >
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.1989.266688