“…Equivalent internal noise can be estimated by comparison to the effects of external noise ( N ext ) added in the stimulus. By measuring the observer's performance in the detection of visual signals with different amounts of external noise, the PTM analysis can identify three pure mechanisms of (1) stimulus enhancement (equivalent to internal additive noise reduction), (2) external noise exclusion and (3) internal multiplicative noise suppression ( Figure 4 ), or a mixture of these mechanisms in attention [ 38 , 42 ], perceptual learning [ 44 – 46 , 58 ], top-down influence [ 48 ], and brain development [ 63 ]. To assess the relative contributions from each or combinations of the noise sources to SS effect on neuronal contrast sensitivity, three weighting coefficients A a , A f , and A m corresponding to the noise source N a , N ext , and N m , respectively, were added in the original PTM equation to fit neuronal TvC functions obtained with and without surround stimuli: where C τ represents threshold contrast at the d ′ performance level; N a , N ext , N m , β , and γ denote, respectively, the standard deviation of internal additive noise, the standard deviation of external noise, the proportional constant of multiplicative noise, the gain of the perceptual template, and the exponent of the nonlinear transducer.…”