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    Application of non-linear analysis techniques to sigma-delta modulators

    Farrell, Ronan and Feely, Orla (1997) Application of non-linear analysis techniques to sigma-delta modulators. In: IEE Colloquium on Signals Systems and Chaos (Ref. No. 1997/393). IET, 4/1-4/6.

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    In the past sigma-delta modulators have been analysed using linear analysis techniques. In these approaches the quantiser is replaced by an additive white noise source and then standard linear systems analysis is applied. This approach can provide good estimates of noise performance but it is unable to explain much of the behaviour of sigma-delta modulators, especially such phenomena as instability, integrator spans, quantiser switching frequency, idle tones, strong limit cycle behaviour and chaos, which are inherently non-linear. To examine these problems it will be necessary to utilise some of the many non-linear analysis techniques now available. A full rigorous non-linear analysis of these systems using any one technique would be very difficult, if not impossible. An alternative is to identify specific problems, such as instability, and to apply the most suitable non-linear analysis technique to the problem. Three main approaches have been applied to the non-linear analysis of sigma-delta modulators: spectral analysis (noise and signal performances), geometric analysis (stability analysis and integrator spans) and non-linear dynamics (limit cycle behaviour).

    Item Type: Book Section
    Keywords: nonlinear analysis techniques; sigma-delta modulators; additive white noise source; instability; integrator spans; quantiser switching frequency; idle tones; chaos; spectral analysis; noise performance; signal performance; stability analysis; nonlinear dynamics; limit cycle behaviour;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Item ID: 9754
    Identification Number:
    Depositing User: Ronan Farrell
    Date Deposited: 08 Aug 2018 13:43
    Publisher: IET
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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