On the properties and design of stable IIR transfer functions generated using Fibonnaci numbers

C. S. Gargour, V. Ramachandran, Ravi Ramachandran

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publicationAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
Pages1228-1231
Number of pages4
DOIs
StatePublished - Dec 1 2006
EventAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems - , Singapore
Duration: Dec 4 2006Dec 6 2006

Other

OtherAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
CountrySingapore
Period12/4/0612/6/06

Fingerprint

Transfer functions
IIR filters
Polynomials

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Gargour, C. S., Ramachandran, V., & Ramachandran, R. (2006). On the properties and design of stable IIR transfer functions generated using Fibonnaci numbers. In APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems (pp. 1228-1231). [4145621] https://doi.org/10.1109/APCCAS.2006.342384
Gargour, C. S. ; Ramachandran, V. ; Ramachandran, Ravi. / On the properties and design of stable IIR transfer functions generated using Fibonnaci numbers. APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems. 2006. pp. 1228-1231
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Gargour, CS, Ramachandran, V & Ramachandran, R 2006, On the properties and design of stable IIR transfer functions generated using Fibonnaci numbers. in APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems., 4145621, pp. 1228-1231, APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems, Singapore, 12/4/06. https://doi.org/10.1109/APCCAS.2006.342384

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 proceedingConference contribution

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Gargour CS, Ramachandran V, Ramachandran R. On the properties and design of stable IIR transfer functions generated using Fibonnaci numbers. In APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems. 2006. p. 1228-1231. 4145621 https://doi.org/10.1109/APCCAS.2006.342384