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
    Country/TerritorySingapore
    Period12/4/0612/6/06

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

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