Abstract
This paper considers z-domain transfer functions whose denominator polynomial possesses the property that the coefficient of zi is greater than the coefficient of zi-1. Such transfer functions can be shown to be always stable and their denominator polynomials can be formed as a finite length time reversed Fibonacci sequence of numbers. Appropriate numerator polynomials can be configured to design lowpass, highpass, bandpass, band-elimination and allpass IIR filters. It is observed that the phase response closely approximates a linear behavior. This study is on the design of IIR filters using Fibonacci numbers. The advantages are that frequency selective filters with an approximately linear phase characteristic can be obtained with neither a stability test nor an analog prototype,
| Original language | English (US) |
|---|---|
| Title of host publication | APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems |
| Pages | 1228-1231 |
| Number of pages | 4 |
| DOIs | |
| State | Published - Dec 1 2006 |
| Event | APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems - , Singapore Duration: Dec 4 2006 → Dec 6 2006 |
Other
| Other | APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems |
|---|---|
| Country | Singapore |
| Period | 12/4/06 → 12/6/06 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
Cite this
}
On the properties and design of stable IIR transfer functions generated using Fibonnaci numbers. / Gargour, C. S.; Ramachandran, V.; Ramachandran, Ravi.
APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems. 2006. p. 1228-1231 4145621.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - On the properties and design of stable IIR transfer functions generated using Fibonnaci numbers
AU - Gargour, C. S.
AU - Ramachandran, V.
AU - Ramachandran, Ravi
PY - 2006/12/1
Y1 - 2006/12/1
N2 - This paper considers z-domain transfer functions whose denominator polynomial possesses the property that the coefficient of zi is greater than the coefficient of zi-1. Such transfer functions can be shown to be always stable and their denominator polynomials can be formed as a finite length time reversed Fibonacci sequence of numbers. Appropriate numerator polynomials can be configured to design lowpass, highpass, bandpass, band-elimination and allpass IIR filters. It is observed that the phase response closely approximates a linear behavior. This study is on the design of IIR filters using Fibonacci numbers. The advantages are that frequency selective filters with an approximately linear phase characteristic can be obtained with neither a stability test nor an analog prototype,
AB - This paper considers z-domain transfer functions whose denominator polynomial possesses the property that the coefficient of zi is greater than the coefficient of zi-1. Such transfer functions can be shown to be always stable and their denominator polynomials can be formed as a finite length time reversed Fibonacci sequence of numbers. Appropriate numerator polynomials can be configured to design lowpass, highpass, bandpass, band-elimination and allpass IIR filters. It is observed that the phase response closely approximates a linear behavior. This study is on the design of IIR filters using Fibonacci numbers. The advantages are that frequency selective filters with an approximately linear phase characteristic can be obtained with neither a stability test nor an analog prototype,
UR - http://www.scopus.com/inward/record.url?scp=50249155335&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=50249155335&partnerID=8YFLogxK
U2 - 10.1109/APCCAS.2006.342384
DO - 10.1109/APCCAS.2006.342384
M3 - Conference contribution
AN - SCOPUS:50249155335
SN - 1424403871
SN - 9781424403875
SP - 1228
EP - 1231
BT - APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
ER -