Abstract. Satellite altimeters routinely supply sea surface height (SSH)
measurements, which are key observations for monitoring ocean dynamics.
However, below a wavelength of about 70 km, along-track altimeter
measurements are often characterized by a dramatic drop in signal-to-noise
ratio (SNR), making it very challenging to fully exploit the available altimeter
observations to precisely analyze small mesoscale variations in
SSH. Although various approaches have been proposed and applied to identify
and filter noise from measurements, no distinct methodology has emerged for
systematic application in operational products. To best address this
unresolved issue, the Copernicus Marine Environment Monitoring Service
(CMEMS) actually provides simple band-pass filtered data to mitigate noise
contamination of along-track SSH signals. More innovative and suitable noise
filtering methods are thus left to users seeking to unveil small-scale
altimeter signals. As demonstrated here, a fully data-driven approach is
developed and applied successfully to provide robust estimates of noise-free
sea level anomaly (SLA) signals (Quilfen, 2021). The method combines empirical mode
decomposition (EMD), used to help analyze non-stationary and non-linear
processes, and an adaptive noise filtering technique inspired by discrete
wavelet transform (DWT) decompositions. It is found to best resolve the
distribution of SLA variability in the 30–120 km mesoscale wavelength band.
A practical uncertainty variable is attached to the denoised SLA estimates
that accounts for errors related to the local SNR but
also for uncertainties in the denoising process, which assumes that the SLA
variability results in part from a stochastic process. For the available
period, measurements from the Jason-3, Sentinel-3, and SARAL/AltiKa missions
are processed and analyzed, and their energy spectral and seasonal
distributions are characterized in the small mesoscale domain. In anticipation
of the upcoming SWOT (Surface Water and Ocean Topography) mission data, the
SASSA (Satellite Altimeter Short-scale Signals Analysis, https://doi.org/10.12770/1126742b-a5da-4fe2-b687-e64d585e138c, Quilfen
and Piolle, 2021) data set of denoised SLA measurements for three reference altimeter
missions has already been shown to yield valuable opportunities to evaluate global small
mesoscale kinetic energy distributions.