Phase-only information loss

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionResearchpeer-review

    Abstract

    In many areas of signal processing, the phases of complex-valued random variables are used to estimate system parameters, the magnitudes being discarded. In this paper, we consider the implications of doing this: the loss of statistical information and subsequent increase in asymptotic variance. Two particular cases, those of estimating the phase of the mean of a complex distribution, and estimating the frequency of a complex sinusoid in white noise, are considered. The estimators are motivated by estimation under von Mises distributional assumptions. The asymptotic distributional properties are obtained under general assumptions, and are tested using a small number of simulations.

    LanguageEnglish
    Title of host publication2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
    Place of PublicationPiscataway, NJ
    PublisherInstitute of Electrical and Electronics Engineers (IEEE)
    Pages3982-3985
    Number of pages4
    ISBN (Print)9781424442966
    DOIs
    Publication statusPublished - 2010
    Event2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Dallas, TX, United States
    Duration: 14 Mar 201019 Mar 2010

    Other

    Other2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
    CountryUnited States
    CityDallas, TX
    Period14/03/1019/03/10

    Fingerprint

    White noise
    Random variables
    Signal processing

    Bibliographical note

    Copyright 2010 IEEE. Reprinted from Proceedings of ICASSP, the 2010 IEEE International Conference on Acoustics, Speech and Signal Processing. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie University’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

    Cite this

    Quinn, B. G. (2010). Phase-only information loss. In 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings (pp. 3982-3985). [5495779] Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICASSP.2010.5495779
    Quinn, Barry G. / Phase-only information loss. 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2010. pp. 3982-3985
    @inproceedings{9fcd659a2c5b4d93a8ff874c2d396b26,
    title = "Phase-only information loss",
    abstract = "In many areas of signal processing, the phases of complex-valued random variables are used to estimate system parameters, the magnitudes being discarded. In this paper, we consider the implications of doing this: the loss of statistical information and subsequent increase in asymptotic variance. Two particular cases, those of estimating the phase of the mean of a complex distribution, and estimating the frequency of a complex sinusoid in white noise, are considered. The estimators are motivated by estimation under von Mises distributional assumptions. The asymptotic distributional properties are obtained under general assumptions, and are tested using a small number of simulations.",
    author = "Quinn, {Barry G.}",
    note = "Copyright 2010 IEEE. Reprinted from Proceedings of ICASSP, the 2010 IEEE International Conference on Acoustics, Speech and Signal Processing. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie University{\^a}€™s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.",
    year = "2010",
    doi = "10.1109/ICASSP.2010.5495779",
    language = "English",
    isbn = "9781424442966",
    pages = "3982--3985",
    booktitle = "2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings",
    publisher = "Institute of Electrical and Electronics Engineers (IEEE)",
    address = "United States",

    }

    Quinn, BG 2010, Phase-only information loss. in 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings., 5495779, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 3982-3985, 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010, Dallas, TX, United States, 14/03/10. https://doi.org/10.1109/ICASSP.2010.5495779

    Phase-only information loss. / Quinn, Barry G.

    2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2010. p. 3982-3985 5495779.

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionResearchpeer-review

    TY - GEN

    T1 - Phase-only information loss

    AU - Quinn, Barry G.

    N1 - Copyright 2010 IEEE. Reprinted from Proceedings of ICASSP, the 2010 IEEE International Conference on Acoustics, Speech and Signal Processing. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie University’s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

    PY - 2010

    Y1 - 2010

    N2 - In many areas of signal processing, the phases of complex-valued random variables are used to estimate system parameters, the magnitudes being discarded. In this paper, we consider the implications of doing this: the loss of statistical information and subsequent increase in asymptotic variance. Two particular cases, those of estimating the phase of the mean of a complex distribution, and estimating the frequency of a complex sinusoid in white noise, are considered. The estimators are motivated by estimation under von Mises distributional assumptions. The asymptotic distributional properties are obtained under general assumptions, and are tested using a small number of simulations.

    AB - In many areas of signal processing, the phases of complex-valued random variables are used to estimate system parameters, the magnitudes being discarded. In this paper, we consider the implications of doing this: the loss of statistical information and subsequent increase in asymptotic variance. Two particular cases, those of estimating the phase of the mean of a complex distribution, and estimating the frequency of a complex sinusoid in white noise, are considered. The estimators are motivated by estimation under von Mises distributional assumptions. The asymptotic distributional properties are obtained under general assumptions, and are tested using a small number of simulations.

    UR - http://www.scopus.com/inward/record.url?scp=78049365802&partnerID=8YFLogxK

    U2 - 10.1109/ICASSP.2010.5495779

    DO - 10.1109/ICASSP.2010.5495779

    M3 - Conference proceeding contribution

    SN - 9781424442966

    SP - 3982

    EP - 3985

    BT - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings

    PB - Institute of Electrical and Electronics Engineers (IEEE)

    CY - Piscataway, NJ

    ER -

    Quinn BG. Phase-only information loss. In 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2010. p. 3982-3985. 5495779 https://doi.org/10.1109/ICASSP.2010.5495779