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Research on signal sub-Nyquist sampling and reconstruction based on compressed sensing

Zheng He-fang

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Abstract

For realizing signal sub-Nyquist sampling and reconstruction based on compressed sensing, a simulation analysis of sinusoidal pulse signal sampling and reconstruction is made with the analog-to-information converter and orthogonal matching pursuit (OMP) algorithm. The Matlab simulation results show that the compressed sensing theory in signal sampling and reconstruction is feasible. The system has better performance in the high signal-to-noise ratio, which can provide the theoretical reference for the design and application of a signal sampling and recovery processing system. Finally, the application value and prospect of compressed sensing are summarized and discussed.

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What this paper is about

For realizing signal sub-Nyquist sampling and reconstruction based on compressed sensing, a simulation analysis of sinusoidal pulse signal sampling and reconstruction is made with the analog-to-information converter and orthogonal matching pursuit (OMP) algorithm. The Matlab simulation results show that the compressed sensing theory in signal sampling and reconstruction is feasible. The system has better performance in the high signal-to-noise ratio, which can provide the theoretical reference for the design and application of a signal sampling and recovery processing system. Finally, the application value and prospect of compressed sensing are summarized and discussed.

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Available abstract

For realizing signal sub-Nyquist sampling and reconstruction based on compressed sensing, a simulation analysis of sinusoidal pulse signal sampling and reconstruction is made with the analog-to-information converter and orthogonal matching pursuit (OMP) algorithm. The Matlab simulation results show that the compressed sensing theory in signal sampling and reconstruction is feasible. The system has better performance in the high signal-to-noise ratio, which can provide the theoretical reference for the design and application of a signal sampling and recovery processing system. Finally, the application value and prospect of compressed sensing are summarized and discussed.

Key concepts: Compressed sensing, Signal reconstruction, Nyquist–Shannon sampling theorem, Sampling (signal processing), SIGNAL (programming language), Computer science, Matching pursuit, Signal transfer function

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