Top: synthetic RV time series (left) and corresponding periodograms (right) for a single planet in circular (black) or eccentric (red) orbit around a Solar-type star. For both signals, the planet mass is set to 0.4 M_⊕, the period to17.5 hr, the orbital inclination to 90 degrees, the argument at periastron to π∕2 radian, the time sampling step to 2 hr and the number of data points is N = 300. For the eccentric planet, the planet orbital frequency is slightly off the Fourier-frequency grid. Bottom: ROC curves of tests T_M (solid), HC (dashed) and BJ (dotted) applied to with L = 20 for the considered circular (left) and eccentric (right) orbital signals.