9.4. Deconvolution Analysis of FMRI Time Series Data¶
These are notes by B. Douglas Ward, written in the Good Ol’ Days, and subsequently updated by Gang Chen.
9.4.1. Abstract¶
Program 3dDeconvolve was developed to provide deconvolution
analysis of FMRI time series data. This has two primary
applications: (1) estimation of the system impulse response function,
and (2) multiple linear regression analysis of time series data.
Given the input stimulus function(s), and the measured FMRI signal
data, program 3dDeconvolve first estimates the impulse response
time series to yield the estimated response. Various statistics are
calculated to indicate the “goodness” of the fit.
The capability of fitting multiple stimulus (or reference) waveforms
differentiates program 3dDeconvolve from the cross-correlation
analysis programs (such as AFNI’s fim and 3dfim). Another way
that program 3dDeconvolve differs from the cross-correlation
analysis programs is in the model for the output waveform. The
cross-correlation programs model the system response as a scaled
version of a fixed waveform (such as a square wave or a sine
wave). Program 3dDeconvolve uses a sum of scaled and time-delayed
versions of the stimulus time series. The data itself determines
(within limits) teh functional form of the estimated response. In
fact, the shape of the fitted waveform can vary from voxel to voxel.
Program 3dDeconvolve is described in Section 1.
…
Program RSFgen is a simple program for generating random stimulus
functions. This capability may be useful for experimental design, and
the evaluation fo experimental designs. This program is described in
Section 3.
The program 3dConvolve, as the name implies, performs the inverse
operation of program 3dDeconvolve. That is, program
3dConvolve convolves the input stimulus functions with the given
system impulse response functions, in order to predict the output
measured response. This program is described in Section 4.
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