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      • Department of Electrical and Electronics Engineering
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      Polar compressive sampling: A novel technique using polar codes

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      Author
      Pilancı, Mert
      Arıkan, Orhan
      Arıkan, Erdal
      Date
      2010
      Source Title
      2010 IEEE 18th Signal Processing and Communications Applications Conference
      Publisher
      IEEE
      Pages
      73 - 76
      Language
      Turkish
      Type
      Conference Paper
      Item Usage Stats
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      Abstract
      Recently introduced Polar coding is the first practical coding technique that can be proven to achieve the Shannon capacity for a multitude of communication channels. Polar codes are close to Reed-Muller codes except the fact that they are tuned for the parameters of the channel. Hence, Polar codes are shown to offer better performance, e.g., in the erasure channel. It is known that second order Reed-Muller codes can be used for Compressed Sensing. Inspired by that result, we propose Polar codes as measurement matrices in CS and compare their numerical performances. We also present the algebraic relation between the erasure channel and CS theory, and discuss fast solution techniques. ©2010 IEEE.
      Keywords
      Compressed sensing
      Polar codes
      Algebraic relations
      Coding techniques
      Communication channel
      Compressed sensing
      Compressive sampling
      Erasure channels
      Fast solutions
      Novel techniques
      Polar codes
      Reed-Muller codes
      Second orders
      Shannon capacity
      Signal processing
      Signal reconstruction
      Permalink
      http://hdl.handle.net/11693/28488
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/SIU.2010.5652154
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      • Department of Electrical and Electronics Engineering 3524
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