Table 2.

Performance comparison of reconstruction methods

Average and standard deviation of R²-values for measurements of sparse spectra consisting of a single laser line at 11 different wavelengths evenly spaced on the range λ=[1555 nm, 1565 nm] and broadband spectra (black curves in Fig. 4). For each reconstruction technique, we include the average fixed-parameter compute time (FPCT) required to solve the corresponding problem (shown in Table 1) and the dimensionality/size of the hyperparameter space used. Calculations were all performed on a laptop with an Intel Xeon E3-1505M v5 CPU and 16 GB of RAM. Blue shaded boxes correspond to R² values above 0.8, yellow is for R² between 0.6 and 0.8, and red is for R² less than 0.6. The results indicate that the elastic-D₁ algorithm consistently and accurately reconstructs both sparse and broadband input signals