Spurious-Free Dynamic Range of a Uniform Quantizer

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    Abstract

    Abstract—Quantization plays an important role in many systems where analog-to-digital conversion and/or digital-to-analog conversion take place. If the quantization error is correlated with the input signal, then the spectrum of the quantization error will contain spurious peaks. Although analytical formulas describing this effect exist, numerical evaluation can take much effort. This brief provides approximations for the spurious-free dynamic range (SFDR) of a uniform quantizer with a single sinusoidal input, with and without additive Gaussian noise. It is shown that the SFDR increases by approximately 8 dB/bit, in case there is no noise. Generalizing this result to multitone inputs results in an additional 2 dB/bit per additional tone. Additive Gaussian noise decorrelates the sinusoid(s) and the quantization error, which results in a dramatic increase in SFDR.
    Original languageEnglish
    Pages (from-to)434-438
    Number of pages5
    JournalIEEE transactions on circuits and systems II: express briefs
    VolumeVolume 56
    Issue number6
    DOIs
    Publication statusPublished - 6 Jun 2009

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    Analog to digital conversion
    Digital to analog conversion

    Keywords

    • EWI-16092
    • IR-68058
    • METIS-264038

    Cite this

    @article{031c3d65e0e74551917f46a280ec8cbc,
    title = "Spurious-Free Dynamic Range of a Uniform Quantizer",
    abstract = "Abstract—Quantization plays an important role in many systems where analog-to-digital conversion and/or digital-to-analog conversion take place. If the quantization error is correlated with the input signal, then the spectrum of the quantization error will contain spurious peaks. Although analytical formulas describing this effect exist, numerical evaluation can take much effort. This brief provides approximations for the spurious-free dynamic range (SFDR) of a uniform quantizer with a single sinusoidal input, with and without additive Gaussian noise. It is shown that the SFDR increases by approximately 8 dB/bit, in case there is no noise. Generalizing this result to multitone inputs results in an additional 2 dB/bit per additional tone. Additive Gaussian noise decorrelates the sinusoid(s) and the quantization error, which results in a dramatic increase in SFDR.",
    keywords = "EWI-16092, IR-68058, METIS-264038",
    author = "{Oude Alink}, M.S. and Kokkeler, {Andre B.J.} and Klumperink, {Eric A.M.} and K.C. Rovers and Smit, {Gerardus Johannes Maria} and Bram Nauta",
    year = "2009",
    month = "6",
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    language = "English",
    volume = "Volume 56",
    pages = "434--438",
    journal = "IEEE transactions on circuits and systems II: express briefs",
    issn = "1549-7747",
    publisher = "IEEE",
    number = "6",

    }

    Spurious-Free Dynamic Range of a Uniform Quantizer. / Oude Alink, M.S.; Kokkeler, Andre B.J.; Klumperink, Eric A.M.; Rovers, K.C.; Smit, Gerardus Johannes Maria; Nauta, Bram.

    In: IEEE transactions on circuits and systems II: express briefs, Vol. Volume 56, No. 6, 06.06.2009, p. 434-438.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Spurious-Free Dynamic Range of a Uniform Quantizer

    AU - Oude Alink, M.S.

    AU - Kokkeler, Andre B.J.

    AU - Klumperink, Eric A.M.

    AU - Rovers, K.C.

    AU - Smit, Gerardus Johannes Maria

    AU - Nauta, Bram

    PY - 2009/6/6

    Y1 - 2009/6/6

    N2 - Abstract—Quantization plays an important role in many systems where analog-to-digital conversion and/or digital-to-analog conversion take place. If the quantization error is correlated with the input signal, then the spectrum of the quantization error will contain spurious peaks. Although analytical formulas describing this effect exist, numerical evaluation can take much effort. This brief provides approximations for the spurious-free dynamic range (SFDR) of a uniform quantizer with a single sinusoidal input, with and without additive Gaussian noise. It is shown that the SFDR increases by approximately 8 dB/bit, in case there is no noise. Generalizing this result to multitone inputs results in an additional 2 dB/bit per additional tone. Additive Gaussian noise decorrelates the sinusoid(s) and the quantization error, which results in a dramatic increase in SFDR.

    AB - Abstract—Quantization plays an important role in many systems where analog-to-digital conversion and/or digital-to-analog conversion take place. If the quantization error is correlated with the input signal, then the spectrum of the quantization error will contain spurious peaks. Although analytical formulas describing this effect exist, numerical evaluation can take much effort. This brief provides approximations for the spurious-free dynamic range (SFDR) of a uniform quantizer with a single sinusoidal input, with and without additive Gaussian noise. It is shown that the SFDR increases by approximately 8 dB/bit, in case there is no noise. Generalizing this result to multitone inputs results in an additional 2 dB/bit per additional tone. Additive Gaussian noise decorrelates the sinusoid(s) and the quantization error, which results in a dramatic increase in SFDR.

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    KW - IR-68058

    KW - METIS-264038

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    JO - IEEE transactions on circuits and systems II: express briefs

    JF - IEEE transactions on circuits and systems II: express briefs

    SN - 1549-7747

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    ER -