Noise Reduction and Time Domain Interpolation

To improve the dynamic range (DR) achievable in an interferogram, signal-averaging techniques must be used. The dynamic range is defined as 

Given the number of scans Nscans for a given baseline and assuming that the signal and noise are uncorrelated, by averaging them the DR is increased by s/Nscans- 

The signal to noise ratio (SNR) can be calculated at the spectral domain after the image synthesis as 

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The datacube reconstruction from detected interferograms has been performed. Initial steps consist of the noise reduction and time domain interpolation when instrument errors have been included in the simulation. Once the data has been reduced, the dirty datacube is calculated in two steps first through Fourier transforming in the wavenumber domain and second through two dimensional Fourier transforming in the spatial domain. 

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