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Signal Processing in Compressed Sensing Domain without Signal Reconstruction

Hariri, Alireza | 2017

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 51043 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Babaiezadeh, Massoud
  7. Abstract:
  8. The main motivation behind compressive sensing is to reduce the sampling rate at the input of a discrete-time signal processing system. However, if for processing the sensed signal one requires to reconstruct the corresponding Nyquist samples, then the data rate will be again high in the processing stages of the overall system. Therefore, it is preferred that the desired processing task is done directly on the compressive measurements, without the need for the reconstruction of the Nyquist samples. This thesis addresses the cases in which the processing task is “detection and/or estimation”. Firstly, a detector/estimator is proposed for compressed sensing radars, which does not need to reconstruct the radar signal, and which works directly from compressive measurements. More precisely, through direct processing of the measurements, and without the need for reconstructing the original radar signal, the system performs target detection, and then estimates range, Doppler frequency shift and radar cross section in the presence of a Gaussian clutter. It is shown that for large compression ratios, the detection performance and estimation quality is comparable with a common radar system while having a much lower data rate. Secondly, a more general scenario, i.e. detection of a sparse signal in additive white Gaussian noise, is investigated. Moreover, we will propose two estimators for estimating the degree of sparsity of the detected signal.We will show that one of the estimators attains the Cramér-Rao lower bound of the problem
  9. Keywords:
  10. Generalized Likelihood Ratio (GLR)Test ; Compression Ratio ; Compressive Sensing ; Detection-Estimation Problem ; Compressed Sensing Radar ; Receiver Operating Characteristic (ROC) ; Traditional Radar System

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