Noise behaviour in the modified Fourier transform for interferometric data inversion

Proposes a modified Fourier transform for the inversion of the visibility function acquired by an unidimensional interferometer observing the surface of the Earth from a low orbit. The inversion of the visibility function by the mean of the usual Fourier transform provides a profile of geometrically distorted brightness temperatures. A modified Fourier transform which takes into account the geometrical considerations of the problem and which avoids making geometrical corrections is described. The authors study the behaviour of this new transform when the input signal is corrupted with white noise. A convolution product associated with this modified Fourier transform is also defined