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  • Electronics and Electrical Engineering
  • ddc:330
  • 2020-2023
  • 2005-2009
  • 1960-1964  (2)
  • 1961  (2)
  • 1
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    A Threshold Theory for Phase-Locked Loops (1961)
    In:  CASI
    Details
    Publication Date: 2019-05-09
    Description: A model of a phase-locked loop has been developed which is valid for all signal-to-noise ratios. The model is in the form of a nonlinear feedback system with randomly time-varying parameters. The analysis considers two operating regions. In low signal-to-noise ratio regions, the important consideration is stability. We want to study the asymptotic stability in the mean of a nonlinear system. It follows directly that a necessary condition for asymptotic stability of any nonlinear system is that a linearized model about some equilibrium point be asymptotically stable. By considering all possible equilibrium points, we can find an upper bound on the value of noise density which makes the system unstable. This upper bound represents a threshold value for system operation. In high signal-to-noise ratio regions, our results provide an exact statistical. description of system behavior. Therefore, knowledge of the spectrum of the signal and noise may be used to optimize the system configuration.
    Keywords: Electronics and Electrical Engineering
    Type: TR-246
    Format: application/pdf
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  • 2
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    Radiation Heat Transfer (1961)
    In:  CASI
    Details
    Publication Date: 2019-08-14
    Description: The pm-pose of this report is to describe work which has been carried out under the subject grant during the period from April 1, 1961, to October 1, 1961. Technical supervision and guidance of the work was provided by Mr. Seymour Lieblein, Chief, Flow Physics Branch, NASA Lewis Research Center, Cleveland, Ohio.
    Keywords: Electronics and Electrical Engineering
    Type: GRC-E-DAA-TN46697
    Format: application/pdf
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    NASA TECHNICAL REPORTS
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