Cross-spectral analysis of SAR altimetry waveform tails
- Marcel Kleinherenbrink,
- Frithjof Ehlers,
- Sergi Hernández,
- Frédéric Nouguier,
- Ourania Altiparmaki,
- Florian Schlembach,
- Bertrand Chapron
Abstract
Until recently, intensity modulations in synthetic aperture radar (SAR) altimetry waveform tails have been considered a nuisance for geophysical-parameter retrieval. These modulations are actually predictable and might be exploited using a spectral analysis of the waveform tails. After [1], a more elaborated analysis is performed to improve the interpretation of these SAR altimeter spectra. A fast numerical model is developed to explain the modulation mechanisms in focused SAR altimetry waveform tails. Using numerical solutions, standard analytical closed-form solutions, are demonstrated to be invalid to retrieve ocean-wave-spectra retrievals from nadir altimeters. Although not valid, a closed-form derivation provides intuitive insights about the information contained in a SAR altimetry cross-spectrum. Under moderate environmental conditions (significant wave heights of ∼2 m), a closed-form solution might still be useful to infer swell-wave spectra from swath-altimetry SAR spectra, like those of the proposed Sentinel-3 Next Generation Topography mission. Comparable to side-looking SAR ocean processing, the cross-spectral analysis for nadir signals reduces noise and might remove the 180-degree ambiguity of the wave direction. Since the synthetic aperture length of nadir altimeters is larger than sidelooking SARs, sublook processing can be performed to compute multiple cross-spectra for the same scene. With a slightly changing observation geometry, resulting cross-spectra reveal slightly different parts of the ocean-wave spectrum. The resulting cross-spectral stack can thus be used to improve the retrieval of ocean-wave parameters. Retrieved ocean-wave parameters shall then enhance the sampling of the global wave field, but also serve to advance more consistent sea-state-bias corrections.20 Dec 2023Submitted to TechRxiv 22 Dec 2023Published in TechRxiv