Abstract
Probability theory is applied to the problem of estimating the ratio of the amplitudes of two sinusoids in nuclear magnetic resonance data. The posterior probability-density for the amplitude ratio is derived independent of the phase, frequencies, decay-rate constants, variance of the noise, and the amplitude of the other sinusoid. This probability-density function is then applied in an illustrative example, and the results are contrasted with those obtained by traditional analysis.
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© 1992 Springer Science+Business Media Dordrecht
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Bretthorst, G.L. (1992). Estimating the Ratio of Two Amplitudes in Nuclear Magnetic Resonance Data. In: Smith, C.R., Erickson, G.J., Neudorfer, P.O. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2219-3_4
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DOI: https://doi.org/10.1007/978-94-017-2219-3_4
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