A random demodulation hardware system with automatic synchronization function

In this paper, a working hardware design with automatic synchronization function based on a random demodulation architecture is presented. It is a groping try to use compressive sensing theory to accomplish sub-Nyquist sampling for analog signal that are sparse in the frequency domain. This paper gives a description to the whole hardware system and also explains the effect of signals' synchronization and how to utilize OMP algorithm in a given hardware system. The experiment results show successful reconstruction of double-tone signals at sampling rates down to 1/4 of the Nyquist-rate.

[1]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[2]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[3]  Emmanuel J. Candès,et al.  Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions , 2004, Found. Comput. Math..

[4]  Thierry Blu,et al.  Sampling signals with finite rate of innovation , 2002, IEEE Trans. Signal Process..

[5]  S. Kirolos,et al.  Analog-to-Information Conversion via Random Demodulation , 2006, 2006 IEEE Dallas/CAS Workshop on Design, Applications, Integration and Software.

[6]  Justin K. Romberg,et al.  Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals , 2009, IEEE Transactions on Information Theory.

[7]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.