Thursday, January 21, 2016

Random sub-Nyquist polarimetric modulator - implementation -

Asensio just let me know of a new hardware approach
The approach ...

is made possible by invoking the theory of compressed sensing using the fact that the Fourier powerspectrum of the seeing is weakly sparse.
and there are indeed good reasons to think that it is indeed weakly sparse -see [1]- Here is the analysis: Random sub-Nyquist polarimetric modulator  by  A. Asensio Ramos
We show that it is possible to measure polarization with a polarimeter that gets rid of the seeing while still measuring at a frequency well below that of the seeing. We study a standard polarimeter made of two retarders and a beamsplitter. The retarders are modulated at 500 Hz, a frequency comparable to that of the variations of the refraction index in the Earth atmosphere, what is usually termed as seeing in astronomical observations. However, we assume that the camera is slow, so that our measurements are time integrations of these modulated signals. In order to recover the time variation of the seeing and obtain the Stokes parameters, we use the theory of compressed sensing to solve the demodulation by impose a sparsity constraint on the Fourier coefficients of the seeing. We demonstrate the feasibility of this sub-Nyquist polarimeter using numerical simulations, both in the case without noise and with noise. We show that a sensible modulation scheme is obtained by randomly changing the fast axis of the modulators or their retardances in specific ways. We finally demonstrate that the value of the Stokes parameters can be recovered with great precision at almost maximum efficiency, although it slightly degrades when the signal-to-noise ratio of the observations increase, a consequence of the multiplexing under the presence of photon noise.

Codes to reproduce the figures of this paper are available at:

 [1] CS / Imaging With Nature: Is Turbulence Ripe for Compressive Imaging ?

Credit photo: NASA
H/T Tristan
Join the CompressiveSensing subreddit or the Google+ Community or the Facebook page and post there !
Liked this entry ? subscribe to Nuit Blanche's feed, there's more where that came from. You can also subscribe to Nuit Blanche by Email, explore the Big Picture in Compressive Sensing or the Matrix Factorization Jungle and join the conversations on compressive sensing, advanced matrix factorization and calibration issues on Linkedin.

No comments: