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    Noiseless Linear Feedback and Analog Data Tranmission

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    Author
    Butman, S.
    Affiliation
    California Institute of Technology
    Issue Date
    1970-10
    
    Metadata
    Show full item record
    Rights
    Copyright © International Foundation for Telemetering
    Collection Information
    Proceedings from the International Telemetering Conference are made available by the International Foundation for Telemetering and the University of Arizona Libraries. Visit http://www.telemetry.org/index.php/contact-us if you have questions about items in this collection.
    Publisher
    International Foundation for Telemetering
    Journal
    International Telemetering Conference Proceedings
    Abstract
    It is well known that noiseless linear feedback achieves channel capacity for the additive Gaussian channel. It has also been shown that it can be used to achieve the rate-distortion bound on the mean squared error for an arbitrary Gaussian source sent over the infinite bandwidth white Gaussian channel. However, it is shown here that noiseless linear feedback by itself does not suffice when the channel is bandlimited. It is shown that, out of the more than countable variety of Gaussian sources that ordinarily exist, only a countable subset can be transmitted via the bandlimited noiseless feedback link at the theoretical efficiency predicted by Shannon's rate-distortion bound. Thus, some nonlinear operations are necessary in almost all cases even with feedback.
    Sponsors
    International Foundation for Telemetering
    ISSN
    0884-5123
    0074-9079
    Additional Links
    http://www.telemetry.org/
    Collections
    International Telemetering Conference Proceedings, Volume 06 (1970)

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