Relaxation Measurement of Ex-Vivo Breast Cancer Tissues at Ultralow Magnetic Fields

Figure 3

Simulation of Bayesian analysis: (a) the simulated FPD signal, (b) the mixed signal with Gaussian random noise, and (c) the reconstructed signal from the noisy signal plotted in (b). The simulated FPD signal was built on assumptions of , , , and in (1). The nondecaying signals were also added as electronic noise, which had the same amplitude of 0.02 and frequencies of 180 and 240 Hz. The simulated FPD signal was mixed with Gaussian random noise, which had a standard deviation of 0.8. After Bayesian analysis, the reconstructed signal had the decaying components , , , and . The nondecaying components of the reconstructed signal were composed of the amplitudes and phases of , and , , respectively.

(a)

(b)

(c)