| Summary: | 碩士 === 國立交通大學 === 電信工程研究所 === 103 === Compressive sensing (CS) based signal acquired by systems capture the entire signal space; however, it often includes undesired signal. Since CS-based systems are very sensitive to interference and noise, a scheme had been proposed to cancel the interference by using the orthogonal projection in compressive domain. Still, this scheme leads to an increase of the restricted isometry constant (RIC) for the set of the signals of interest, and causes the decay of the reconstruction performance. Hence, in this thesis, we study two schemes of inteference cancellation by using projection, which will maintain the RIC on the set of potential signals of interest.
First, based on the method in [1], we rewrite the scheme to cancel the interference. The mathematical analysis and simulation results manifest that the proposed method slightly improves the performance of reconstruction in [1]. Moreover, we proposed another interference cancellation method based on oblique projection. The simulation results show that the performance will be obviously improved when the minimum principal angle is bigger than the subspaces between the desired and interference signals.
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