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2018 | OriginalPaper | Buchkapitel

Sub-Nyquist Sampling Based on Exponential Reproducing Gabor Windows

verfasst von : Wang Cheng, Chen Peng, Meng Chen, Luo Jin

Erschienen in: Communications, Signal Processing, and Systems

Verlag: Springer Singapore

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Abstract

For analog signals comprised of several, possibly overlapping, finite duration pulses with unknown shapes and time positions, an efficient Sub-Nyquist sampling system is based on Gabor frames. To improve the realizability of this sampling system, we present alternative method for the case that the windows are exponential reproducing Gabor windows. Then, the time translation element could be realized with exponential filters. In this paper, we also construct the measurement matrix and prove that it has better coherence than Fourier matrix. Simulations prove that the sampling proposed in this paper, the sampling system require quite low sampling frequency and has nice reconstruction performance.

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Literatur
1.
Zurück zum Zitat M. Mishali, Y.C. Eldar, A.J. Elron, Xampling: signal acquisition and processing in union of subspaces. IEEE Trans. Signal Process. 59(10), 4719–4734 (2011)CrossRefMathSciNet M. Mishali, Y.C. Eldar, A.J. Elron, Xampling: signal acquisition and processing in union of subspaces. IEEE Trans. Signal Process. 59(10), 4719–4734 (2011)CrossRefMathSciNet
2.
Zurück zum Zitat G. Itzhak, E. Baransky, N. Wagner, I. Shmuel, E. Shoshan, Y.C. Eldar, A hardware prototype for Sub-Nyquist radar sensing, in ITGFachbericht-SCC 2013, 2013 G. Itzhak, E. Baransky, N. Wagner, I. Shmuel, E. Shoshan, Y.C. Eldar, A hardware prototype for Sub-Nyquist radar sensing, in ITGFachbericht-SCC 2013, 2013
3.
Zurück zum Zitat T. Michaeli, Y.C. Eldar, Xampling at the rate of innovation. IEEE Trans. Signal Process 60(3), 1121–1133 (2012)CrossRefMathSciNet T. Michaeli, Y.C. Eldar, Xampling at the rate of innovation. IEEE Trans. Signal Process 60(3), 1121–1133 (2012)CrossRefMathSciNet
4.
Zurück zum Zitat E. Matusiak, Y.C. Eldar, Sub-Nyquist sampling of short pulses. IEEE Trans. Signal Process 60(3), 1134–1148 (2012)CrossRefMathSciNet E. Matusiak, Y.C. Eldar, Sub-Nyquist sampling of short pulses. IEEE Trans. Signal Process 60(3), 1134–1148 (2012)CrossRefMathSciNet
5.
Zurück zum Zitat M. Unser, T. Blu, Cardinal exponential splines: part i-theory and filtering algorithms. IEEE Trans. Signal Process. 53(4), 1425–1438 (2005)CrossRefMATHMathSciNet M. Unser, T. Blu, Cardinal exponential splines: part i-theory and filtering algorithms. IEEE Trans. Signal Process. 53(4), 1425–1438 (2005)CrossRefMATHMathSciNet
6.
Zurück zum Zitat J.D. Blanchard, M. Cermak, D. Hanle, Y. Jing, Greedy algorithms for joint sparse recovery. IEEE Trans. Signal Process. 62(7), 1694–1699 (2013)CrossRefMathSciNet J.D. Blanchard, M. Cermak, D. Hanle, Y. Jing, Greedy algorithms for joint sparse recovery. IEEE Trans. Signal Process. 62(7), 1694–1699 (2013)CrossRefMathSciNet
7.
Zurück zum Zitat M. Rudelson, R. Vershynin, On sparse reconstruction from fourier and gaussian measurements. Commun. Pure Appl. Math. 61(8), 1025–1045 (2008)CrossRefMATHMathSciNet M. Rudelson, R. Vershynin, On sparse reconstruction from fourier and gaussian measurements. Commun. Pure Appl. Math. 61(8), 1025–1045 (2008)CrossRefMATHMathSciNet
8.
Zurück zum Zitat H. Olkkonen, J.T. Olkkonen, Sampling and reconstruction of transient signals by parallel exponential filters. IEEE Trans. Circuits Syst. II: Express Briefs 57(6), 426–429 (2010)CrossRefMATHMathSciNet H. Olkkonen, J.T. Olkkonen, Sampling and reconstruction of transient signals by parallel exponential filters. IEEE Trans. Circuits Syst. II: Express Briefs 57(6), 426–429 (2010)CrossRefMATHMathSciNet
9.
Zurück zum Zitat Z. Li, K. Liu, Y. Zhao, MaPIT: an enhanced pending interest table for NDN with mapping bloom filter. IEEE Commun. Lett. 18(11), 1915–1918 (2011)CrossRef Z. Li, K. Liu, Y. Zhao, MaPIT: an enhanced pending interest table for NDN with mapping bloom filter. IEEE Commun. Lett. 18(11), 1915–1918 (2011)CrossRef
Metadaten
Titel
Sub-Nyquist Sampling Based on Exponential Reproducing Gabor Windows
verfasst von
Wang Cheng
Chen Peng
Meng Chen
Luo Jin
Copyright-Jahr
2018
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-3229-5_64

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