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    On Defining White Noise

    117545_9006_C-2008-OnDefiningWhiteNoise-CUTSE2008.pdf (115.3Kb)
    Access Status
    Open access
    Authors
    Howard, Roy
    Date
    2008
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Howard, Roy. 2008. On defining white noise, in Nagarajan, R. (ed), Curtin University of Technology Science and Engineering International Conference, Nov 24 2008, Miri - Sarawak, Malaysia: Curtin University of Technology, Sarawak Campus - Malaysia.
    Source Title
    Proceedings of the Curtin University of Technology Science and Engineering International Conference
    Source Conference
    Curtin University of Technology Science and Engineering International Conference
    ISBN
    9789834417604
    Faculty
    Department of Electrical and Computer Engineering
    School of Engineering
    Faculty of Science and Engineering
    URI
    http://hdl.handle.net/20.500.11937/10583
    Collection
    • Curtin Research Publications
    Abstract

    The mathematical background necessary to rigorously define white noise is detailed. It is shown that it is necessary to accept an arbitrarily small correlation time, and a flat power spectral density approximation over a finite, but arbitrarily large, frequency range, to adequately define a white noise random process consistent with the Wiener-Khintchine relationships. Dichotomous random processes are used to illustrate appropriate principles and problems. The results are generalized to Gaussian white noise.

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