Causal filters. Mean estimation accuracies (electrode-specific filters, V1, spontaneous activity) for three different filters: NC (non-causal filter, as used in Figs. 2–7), C+ [only has information for positive time lags; hC+(α) = 0 for α < 0)], and C− [only has information about negative time lags; hC−(α) = 0 for α > 0)]. The conventions are the same as in Figure 3. Error bars denote 1 SEM (n = 88 electrodes). The squares indicate the mean reconstruction accuracy. The triangles indicate the mean estimation accuracies under the null hypothesis (generating a Poisson spike train with the same number of spikes). All the LFP estimation accuracies shown here are statistically significant compared with the estimations obtained under the null hypothesis (p < 0.01, two-sample Kolmogorov–Smirnov test). The estimations obtained with NC and C+ are statistically indistinguishable (p > 0.1), and there is a significant difference between the estimations obtained with either NC or C+, and C− (p < 0.01).