Create Daguerre HRF Basis Set

Generates an HRF object using Daguerre spherical basis functions with custom parameters. These are orthogonal polynomials that naturally decay to zero.

Usage

hrf_daguerre_generator(nbasis = 3, scale = 4)

Arguments

nbasis

Number of basis functions (default: 3)

scale

Scale parameter for the time axis (default: 4)

Value

An HRF object of class c("Daguerre_HRF", "HRF", "function")

Details

Daguerre basis functions are orthogonal polynomials on [0,Inf) with respect to the weight function w(x) = x^2 * exp(-x). They are particularly useful for modeling hemodynamic responses as they naturally decay to zero and can capture various response shapes with few parameters.

See also

HRF_objects for pre-defined HRF objects, getHRF for a unified interface to create HRFs

Examples

# Create Daguerre basis with 5 functions
custom_dag <- hrf_daguerre_generator(nbasis = 5, scale = 3)
#> Warning: Parameters n_basis, scale are not arguments to function daguerre and will be ignored
t <- seq(0, 24, by = 0.1)
response <- evaluate(custom_dag, t)
matplot(t, response, type = "l", main = "Daguerre HRF with 5 basis functions")