While the PIC-based algorithms, being introduced in Section 4.2, only make use of the mean values x ̃ k [ m, s ], the symbol-wise MAP detector works with the probability mass function of x[m,s], denoted Pa(x[m, s]).
As design criterion, we use the bit-wise MAP decision rule, which minimizes the BER.
As stated previously, the optimal MUD is the symbol-wise MAP detector.
The optimal SISO detector is the symbol-wise MAP detector, implemented through the BCJR algorithm [28].
To evaluate this question, we conducted pair-wise map comparison to analyze the impact of spatial resolution on map agreement.
As was discussed above, the complexity of the symbol-wise MAP detector (16) may in many cases be prohibitively large, showing the demand for low complexity schemes.
It is noteworthy that all the "efferent" elements of the pain response (brain regions directly related to motor or visceral output) are represented in the voxel-wise map of the correlation between pain severity and brain activations, including contralateral sensory-motor cortex, supplementary motor area, anterior cingulate cortex, anterior insula and basal ganglia.
All peak location coordinates identified in each ROI's coorelation map across the 3 zones were combined to generate a voxel-wise map for each starting seed ROI.
By aggregating the peak voxel coordinate locations identified over multiple zones, a whole-brain voxel-wise map can be produced that reflects a spatial distribution of the identified peaks as well as a measure of the number of times each peak was identified (i.e., its magnitude or peak density).
For each reference vector, this produces a pair-wise map of SHs between all other allele vectors, and all the pairs are collapsed into a single data structure that identifies the vectors that have the same SH and the location of this SH.
layer is thus appended behind the decoder for performing pixel-wise mapping.
