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Biorthogonal decomposition: Difference between revisions
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(Created page with 'The Biorthogonal Decomposition (BOD, also known as Proper Orthogonal Decomposition, POD) applies to the analysis of multipoint measurements :<math>Y(i,j)\,</math> where ''i=1,.…') |
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This is not always the most appropriate assumption: | This is not always the most appropriate assumption: | ||
e.g., travelling waves have a structure such as ''cos(kx-ωt)''; however, most propagating waves can still be recognised clearly by their distinct footprint in the biorthogonal modes (provided there are not too many): a travelling wave will produce a pair of modes with similar amplitude and a 90° phase difference. | e.g., travelling waves have a structure such as ''cos(kx-ωt)''; however, most propagating waves can still be recognised clearly by their distinct footprint in the biorthogonal modes (provided there are not too many): a travelling wave will produce a pair of modes with similar amplitude and a 90° phase difference. | ||
== See also == | |||
* [[:Wikipedia:Principal component analysis|Principal component analysis]] | |||
== References == | == References == | ||
<references /> | <references /> | ||