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Bicoherence: Difference between revisions
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''(ω<sub>1</sub>,ω<sub>2</sub>) → (-ω<sub>1</sub>,-ω<sub>2</sub>)'', so that only one quarter of the plane ''(ω<sub>1</sub>,ω<sub>2</sub>)'' contains independent information. | ''(ω<sub>1</sub>,ω<sub>2</sub>) → (-ω<sub>1</sub>,-ω<sub>2</sub>)'', so that only one quarter of the plane ''(ω<sub>1</sub>,ω<sub>2</sub>)'' contains independent information. | ||
Additionally, for discretely sampled data all frequencies must be less than the | Additionally, for discretely sampled data all frequencies must be less than the | ||
Nyquist frequency: ''|ω<sub>1</sub>|,|ω<sub>2</sub>|,|ω| ≤ ω<sub>Nyq</sub>''. These restrictions define a polygonal subspace of the plane, which is how the bicoherence is usually represented. | Nyquist frequency: ''|ω<sub>1</sub>|,|ω<sub>2</sub>|,|ω| ≤ ω<sub>Nyq</sub>''. These restrictions define a polygonal subspace of the plane, which is how the bicoherence is usually represented (for an example, see [[TJ-II:Turbulence]]). | ||
The summed bicoherence is defined by | The summed bicoherence is defined by | ||