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    Bounding the integrator outputs of second-order sigma-delta modulators


    Farrell, Ronan and Feely, Orla (1998) Bounding the integrator outputs of second-order sigma-delta modulators. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 45 (6). pp. 691-702. ISSN 1057-7130

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    Abstract

    The development to date of the bounds for the outputs of the integrators of second-order sigma-delta modulators has relied on a mixture of theoretical analysis and extensive use of simulation. This paper presents a new approach that analyzes the behavior of such systems, and identifies the external boundaries of the trapping region for the outputs of the integrators. With this approach, it is possible to develop tight results for the standard second-order modulator with constant input, without the need for simulation. This approach is flexible, and can be adapted for other second-order architectures, and gives strong insight into the behavior of these systems.
    Item Type: Article
    Keywords: integrator outputs bounding; second-order sigma-delta modulators; trapping region; second-order architectures; chaotic systems; leaky systems; ADC;
    Academic Unit: Faculty of Science and Engineering > Electronic Engineering
    Item ID: 9582
    Identification Number: 10.1109/82.686688
    Depositing User: Ronan Farrell
    Date Deposited: 21 Jun 2018 16:41
    Journal or Publication Title: IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
    Publisher: IEEE
    Refereed: Yes
    Related URLs:
    URI: https://mu.eprints-hosting.org/id/eprint/9582
    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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