Estimating the Ratio of Two Amplitudes in Nuclear Magnetic Resonance Data [chapter]

G. Larry Bretthorst
1992 Maximum Entropy and Bayesian Methods  
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.
doi:10.1007/978-94-017-2219-3_4 fatcat:asoddnvrlbeeteelmneppcc2jq