Sub-Nyquist Sampling for Short Pulse Based on Gabor Frame with B-Splines Windows

Peng Chen; Chen Meng; Cheng Wang

doi:10.4028/www.scientific.net/AMR.926-930.3266

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Sub-Nyquist Sampling for Short Pulse Based on Gabor Frame with B-Splines Windows
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 926-930Sub-Nyquist Sampling for Short Pulse Based on...

Sub-Nyquist Sampling for Short Pulse Based on Gabor Frame with B-Splines Windows

Abstract:

The paper present a Gabor frame sampling system for sampling signals made up by multipulse with unknown shapes and time positions below Nyquist rate. The sampling system model is analyzed and the minimum sample number for recovery the signal perfectly is deduced. B-spline windows are chosen as the Gabor windows with the dual windows well derived. Simulation in different case shows the method satisfies the sampling and recovery requirement.