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Table 4 Comparison between the two methods, for convex baseline s=−1

From: Linear MALDI-ToF simultaneous spectrum deconvolution and baseline removal

σ noise Sequential processing Proposed method
  \(\mathcal {E}_{e}\times 10^{-3}\) \(\mathcal {E}_{e}\times 10^{-3}\)
0. 15. 27.6
0.2 47.8±8.76 45.2 ±9.12
0.4 88.6±15.6 81.6 ±11.9
0.6 131.±21.4 118. ±18.
0.8 176.±26. 154. ±20.1
1. 217.±33.7 184. ±21.3
1.2 262.±45.7 215. ±25.5
1.4 295.±48.2 245. ±29.4
1.6 330.±52.5 275. ±32.7
1.8 360.±59.8 300. ±38.2
2. 390.±70.4 322. ±44.3
  1. \(\mathcal {E}_{e}\) merit factor, lower is better. Apart from the noise free signal, the joint approach outperforms the sequential one for all noise levels
  2. The italic means the best result (when comparing the two methods)