Correlations, contrasts, and components: Fourier analysis in a more familiar terminology.
H. Kaplan. Behavior Research Methods & Instrumentation, 15 (2):
228-241(1983)
Abstract
The Fourier transform partitions the energy in a waveform into the sum of the energies of simpler components. This process is the same as the partitioning of variance into linear contrasts and is a way of measuring the correlation between the waveform and each member of a family of prototype model waveforms. Such a partitioning will often, but not always, result in a meaningful decomposition of the original waveform.
%0 Journal Article
%1 KaplanHL1983
%A Kaplan, Howard L.
%D 1983
%J Behavior Research Methods & Instrumentation
%K FFT Fourier-analysis hardcopy
%N 2
%P 228-241
%T Correlations, contrasts, and components: Fourier analysis in a more familiar terminology.
%V 15
%X The Fourier transform partitions the energy in a waveform into the sum of the energies of simpler components. This process is the same as the partitioning of variance into linear contrasts and is a way of measuring the correlation between the waveform and each member of a family of prototype model waveforms. Such a partitioning will often, but not always, result in a meaningful decomposition of the original waveform.
@article{KaplanHL1983,
abstract = {The Fourier transform partitions the energy in a waveform into the sum of the energies of simpler components. This process is the same as the partitioning of variance into linear contrasts and is a way of measuring the correlation between the waveform and each member of a family of prototype model waveforms. Such a partitioning will often, but not always, result in a meaningful decomposition of the original waveform.},
added-at = {2007-12-16T16:32:05.000+0100},
author = {Kaplan, Howard L.},
biburl = {https://www.bibsonomy.org/bibtex/25167d5061ff25bcf00450699ca530ddd/toby},
interhash = {5a061233fb82a2859a9d8df0c3393825},
intrahash = {5167d5061ff25bcf00450699ca530ddd},
journal = {Behavior Research Methods & Instrumentation},
keywords = {FFT Fourier-analysis hardcopy},
number = 2,
pages = {228-241},
timestamp = {2007-12-16T16:32:05.000+0100},
title = {Correlations, contrasts, and components: Fourier analysis in a more familiar terminology.},
volume = 15,
year = 1983
}