• DocumentCode
    391890
  • Title

    MSE law of nth order ΣΔ modulators

  • Author

    Thao, Nguyen T.

  • Author_Institution
    Dept. of Electr. Eng., New York Univ., NY, USA
  • Volume
    1
  • fYear
    2002
  • fDate
    4-7 Aug. 2002
  • Abstract
    The mean squared error (MSE) of an nth order ΣΔ modulator is classically understood to decay with the oversampling ratio M at the rate α/M2n+1. In this paper, we show that the accurate general MSE law is in fact in β/M2n + γ/M2n+1 instead. The coefficient β is in general not zero, except when the input is rigorously constant, or when using the ideal standard nonoverloaded n-bit n-loop modulator. The term β/M2n is dominant starting from low values of M when using a one-bit quantizer.
  • Keywords
    error analysis; mean square error methods; modulators; sigma-delta modulation; MSE law; centroid function; error analysis; mean squared error law; nth order ΣΔ modulators; oversampling ratio; Convolution; Delta modulation; Equations; Error analysis; Filters; Linearity; Noise figure; Sampling methods; Testing; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2002. MWSCAS-2002. The 2002 45th Midwest Symposium on
  • Print_ISBN
    0-7803-7523-8
  • Type

    conf

  • DOI
    10.1109/MWSCAS.2002.1187232
  • Filename
    1187232
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=391890