LIU Li-xing,YANG Chun-yong,WANG Run-yu,NI Wen-jun,QIN Xian-zan,DENG Yang,CHEN Kao-ming,HOU Jin,CHEN Shao-ping.Compressed sensing reconstruction of sparse spectrum based on digital micro-mirror device platform[J].Optoelectronics Letters,2018,14(1):6-11 |
Compressed sensing reconstruction of sparse spectrum based on digital micro-mirror device platform |
Author Name | Affiliation | LIU Li-xing | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China | YANG Chun-yong | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China | WANG Run-yu | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China | NI Wen-jun | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China | QIN Xian-zan | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China | DENG Yang | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China | CHEN Kao-ming | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China | HOU Jin | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China | CHEN Shao-ping | Hubei Key Laboratory of Intelligent Wireless Communications, College of Electronics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China |
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Abstract: |
A new method which employs compressive sensing (CS) to reconstruct the sparse spectrum is designed and experimentally demonstrated. On the basis of CS theory, the simulation results indicate that the probability of reconstruction is high when the step of the sparsity adaptive matching pursuit algorithm is confirmed as 1. Contrastive analysis for four kinds of commonly used measurement matrices:part Hadamard, Bernoulli, Toeplitz and Circular matrix, has been conducted. The results illustrate that the part Hadamard matrix has better performance of reconstruction than the other matrices. The experimental system of the spectral compression reconstruction is mainly based on the digital micro-mirror device (DMD). The experimental results prove that CS can reconstruct sparse spectrum well under the condition of 50% sampling rate. The system error 0.078 1 is obtained, which is defined by the average value of the 2-norm. Furthermore, the proposed method shows a dominant ability to discard redundancy. |
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