Table 1.
Joint BSS performance comparison via simulations.
Source index | S1–S2 corr | A1–A2 corr | Absolute correlation between sources inference and the ground truth under PSNR=10dB | ||||
---|---|---|---|---|---|---|---|
jICA | mCCA | sCCA | CCA+ICA | 2ICA | |||
1 | 0.987 | 0.988 | 0.967±0.004 | 0.892±0.084 | 0.980±0.000 | 0.990±0.000 | 0.990±0.003 |
2 | 0.88 | 0.781 | 0.976±0.005 | 0.941 ±0.005 | 0.871 ±0.000 | 0.995±0.000 | 0.980±0.000 |
3 | 0.76 | 0.678 | 0.435±0.041 | 0.330±0.077 | 0.630±0.007 | 0.820±0.001 | 0.817±0.001 |
4 | 0.451 | 0.590 | 0.490±0.020 | 0.538±0.024 | 0.728±0.013 | 0.924±0.001 | 0.892±0.001 |
5 | 0.383 | 0.217 | 0.820±0.001 | 0.578±0.035 | 0.577±0.003 | 0.916±0.001 | 0.461±0.003 |
6 | 0.004 | 0.881 | 0.700±0.034 | 0.514±0.055 | 0.821 ±0.001 | 0.840±0.001 | 0.278±0.001 |
Inter-symbol Inference A1 | 0.184±0.019 | 0.251±0.021 | 0.199±0.002 | 0.051±0.001 | 0.034±0.005 | ||
Inter-symbol Inference A2 | 0.166±0.014 | 0.248±0.007 | 0.315±0.002 | 0.081 ±0.001 | 0.067±0.001 | ||
X1=A1-S1, X2=A2-S2 statistical assumption for every method | A1 and A2 should be identical | “A1–A2 corr” should be distinct | “S1–S2 corr” should be distinct enough | “S1–S2 corr” can be either common or distinct | No assumption to link two data sets. |
BS S performance degrades due to unsatisfaction of the requirements
Sources are linked correctly and performance is the best among the five methods
Sources are mis-linked via cross-correlation between two data sets.