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26 April 2024
 
  » arxiv » 1308.3799

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Parallel Compressed Sensing Reconstruction
Hao Fang ; Sergiy A. Vorobyov ; Hai Jiang ;
Date 17 Aug 2013
AbstractIn this letter, a parallel reconstruction architecture for compressed sensing is proposed. In this architecture, a measurement matrix is constructed from a block-diagonal sensing matrix and the sparsifying basis of the target signal. In this way, the projection of the signal onto the sparsifying basis can be divided into several segments and all segments can be reconstructed in parallel. Thus, the computational complexity and the time for reconstruction can be reduced significantly. Furthermore, to reduce the number of measurements needed to achieve the desired reconstruction error performance, permutation is introduced for the projection of the signal. To implement permutation in the parallel reconstruction architecture, only a modification is needed for the measurement matrix at the encoder side, while decoding can be achieved in parallel.
Source arXiv, 1308.3799
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