Exercise: Parameters of an FID Signal
In this exercise, we will find the optimized parameters of a raw FID signal.
We'll cover the following
Task
In Fourier transform nuclear magnetic resonance spectroscopy, free induction decay (FID) is the observable Nuclear Magnetic Resonance (NMR) signal generated by non-equilibrium nuclear spin magnetization precessing about the magnetic field. The signal has decayed oscillations and is defined by the equation:
Decay curves are given by the equation:
and
In this exercise, you are given raw data directly from an NMR system and will fit the curve to reduce RMSE and find the unknown coefficients: and .
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