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Effect of time errors on infinity values obtained using Prony's method

J Newburger, S Stavchansky, R S Pearlman

    Journal of Pharmaceutical Sciences
    |October 1, 1980
    PubMed
    Summary
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    Small errors in sample times significantly impact Prony

    Area of Science:

    • Signal processing
    • Numerical analysis

    Background:

    • Prony's method is used for estimating parameters in exponential signals.
    • Accurate estimation of signal parameters is crucial in various scientific fields.

    Purpose of the Study:

    • To investigate the sensitivity of Prony's method to errors in sample times.
    • To identify methods for improving the accuracy of infinity value estimation using Prony's method.

    Main Methods:

    • Analysis of error propagation in Prony's method.
    • Simulation studies to quantify the impact of timing errors.

    Main Results:

    • Estimates of infinity values using Prony's method are highly sensitive to small errors in sample times.
    • Increasing the time interval between samples reduces the error in the estimated infinity values.

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    Conclusions:

    • Careful attention must be paid to the accuracy of sample times when using Prony's method.
    • Longer sampling intervals are recommended to improve the reliability of Prony's method estimates.