## Abstract

Analog Compressed Sensing (CS) has attracted considerable research interest in sampling area. One of the promising analog CS technique is the recently proposed Modulated Wideband Converter (MWC). However, MWC has a very high hardware complexity due to its parallel structure. To reduce the hardware complexity of MWC, this paper proposes a novel Random Circulant Orthogonal Matrix based Analog Compressed Sensing (RCOM-ACS) scheme. By circularly shifting the periodic mixing function, the RCOM-ACS scheme reduces the number of physical parallel channels from m to 1 at the cost of longer processing time, where m is in the order of several dozen to several hundred in MWC. It is proved that the m×M measurement matrix of RCOM-ACS scheme satisfies the Restricted Isometry Property (RIP) condition with probability 1-M ^{-O(1)} when m = O(rlog^{2}Mlog^{3}r), where M is the length of the periodic mixing function, r denotes the sparsity of the input signal. Furthermore, to make a good tradeoff between processing time and hardware complexity, a short processing time RCOM-ACS scheme is proposed in this paper. Simulation results show that, the proposed schemes outperform MWC in terms of recovery performance.

Original language | English |
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Title of host publication | GLOBECOM 2012 |

Subtitle of host publication | 2012 IEEE Global Communications Conference |

Place of Publication | Piscataway, NJ |

Publisher | Institute of Electrical and Electronics Engineers (IEEE) |

Pages | 3605-3609 |

Number of pages | 5 |

ISBN (Electronic) | 9781467309219, 9781467309196 |

ISBN (Print) | 9781467309202 |

DOIs | |

Publication status | Published - 2012 |

Externally published | Yes |

Event | 2012 IEEE Global Communications Conference, GLOBECOM 2012 - Anaheim, CA, United States Duration: 3 Dec 2012 → 7 Dec 2012 |

### Other

Other | 2012 IEEE Global Communications Conference, GLOBECOM 2012 |
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Country/Territory | United States |

City | Anaheim, CA |

Period | 3/12/12 → 7/12/12 |

## Keywords

- Compressed Sensing
- Random Circulant Orthogonal Matrix
- Restricted Isometry Property