| Paper: | SPTM-P3.6 | ||
| Session: | Time-Frequency Distributions | ||
| Time: | Wednesday, May 19, 09:30 - 11:30 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Non-stationary Signals & Time-Frequency Analysis | ||
| Title: | DUAL-FREQUENCY DUAL-WAVENUMBER CROSS-COHERENCE OF NONSTATIONARY AND INHOMOGENEOUS HARMONIZABLE RANDOM FIELDS | ||
| Authors: | Yngvar Larsen; University of Tromsø | ||
| Alfred Hanssen; University of Tromsø | |||
| Abstract: | We propose a definition of a dual-frequency dual-wavenumber cross-spectrum of two nonstationary and inhomogeneous harmonizable random fields, which is in fact a generalization of the Loève (dual-frequency) cross-spectrum of two nonstationary harmonizable random processes. Furthermore, a geometric argument shows that a proper normalization yields a natural measure of cross-coherence, and application of Cauchy-Schwarz' inequality results in a necessary and sufficient condition for full cross-coherence. Finally, estimators of the cross-spectrum and the cross-coherence based on the multitaper approach are suggested, and tested on simulated data. | ||
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