¥ The tool for expressing an unknown function as a finite set of numbers that can be fit via linear regression is an expansion in basis functions
H
H
H The basis
functions yq(t ) are known, as is the expansion order p
H The
unknowns to be found (in each voxel) comprises the
set of weights bq for each yq(t )
¥ Since b weights
appear only by multiplying known values, and
HRF only appears by in final signal model by
linear convolution, resulting signal model is still solvable by linear regression