The radar backscatter from the ocean surface, called sea clutter, is modulated due t o the surface wave field. The modulation introduces a spatio-temporal correlation of the sea clutter signal. A three-dimensional wavenumber frequency spectrum of the sea clutter is calculated from a time series of radar images with an FFT algorithm. Because of the non-linearity of the imaging process the image spectrum contains harmonics in addition t o the linear fundamental mode. These modes are localized at distinct surfaces in the wave number frequency space corresponding t o the scaled dispersion relation of surface gravity waves. Because of the localization of the spectral energy on dispersion shells, the aliasing effect due t o a temporal undersampling can be overcome. The dispersion shells are reconstructed over the Nyquist frequency barrier and for negative frequencies. The dispersion shells are used as spectral filters t o separate the modes from the clutter noise pedestal of radar image spectra. This pedestal shows the effect of the impulse response due t o the finite spatial resolution of the radar. The spectral energy of the wavenumber frequency spectrum is integrated over the frequency coordinate axis, with the positive solution of the dispersion relation of surface gravity waves as signal filter. With this spectral filter method an unambiguous wave number image spectrum is selected.An empirical calibration procedure is presented. This procedure is based on the correlation of the signal t o noise ratio with the significant wave height. The applicability of the method is shown using a radar and buoy data set. The spectral energies of fundamental mode, first harmonic, and the clutter component are compared. It was proved that the spectral energy of the clutter noise exceeds the spectral energy of the first harmonic mode by an order of magnitude, i.e. the physical background of the empirical calibration method is similar t o the method well established for wave spectra from single SAR images.The fundamental image spectrum is related t o the surface wave spectrum by an image transfer function.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.