Abstract
In the field of radar signal processing, the ultra-high sampling frequency has always limited the development of radar technology. Finite rate of innovation (FRI) sampling theory can effectively reduce the sampling frequency of radar pulses in recent years. But the existing radar pulses sampling systems based on FRI have not considered the non-ideal effects caused by non-ideal filters in hardware implement, which affects the accuracy of system reconstruction. In this paper, we proposed a FRI sampling scheme for ultra-wideband gaussian pulses based on non-ideal LPF, which can achieve high-precision reconstruction under non-ideal physical component environment. The proposed system has two identical channels based on non-ideal LPF. The two channels samples the ultra-wideband gaussian pulses and the basis signal with a sub-Nyquist sampling frequency after filtered by non-ideal LPF, then we can obatin Fourier coefficients with non-ideal effects. Then we propose a new estimation algorithm to reconstruct the ultra-wideband gaussian pulses, which can eliminate non-ideal effects and improve the reconstruction performance. Finally, simulation results have verified the effectiveness of the proposed scheme.
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References
Tsimbinos, J., Lever, K.V.: Input Nyquist sampling suffices to identify and compensate nonlinear systems. IEEE Trans. Sig. Process. 46(10), 2833–2837
Kipnis, A., Goldsmith, A.J., Eldar, Y.C., Weissman, T.: Distortion rate function of sub-Nyquist sampled gaussian sources. IEEE Trans. Inf. Theory 62(1), 401–429
Wang, X., Jia, M., Gu, X., Guo, Q.: Sub-Nyquist spectrum sensing based on modulated wideband converter in cognitive radio sensor networks. IEEE Access 6, 40411–40419
Vetterli, M., Marziliano, P., Blu, T.: Sampling signals with finite rate of innovation. IEEE Trans. Sig. Process. 50(6), 1417–1428
Hayuningtyas, P.J., Marziliano, P.: Finite rate of innovation method for DOA estimation of multiple sinusoidal signals with unknown frequency components. In: 2012 9th European Radar Conference, pp. 115–118 (2012)
Dragotti, P.L., Vetterli, M., Blu, T.: Sampling moments and reconstructing signals of finite rate of innovation: Shannon meets Strang-Fix. IEEE Trans. Sig. Process. 55(5), 1741–1757
Baechler, G., Freris, N., Quick, R.F., Crochiere, R.E.: Finite rate of innovation based modeling and compression of ECG signals. In: 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, pp. 1252–1256 (2013)
Nair, A., Marziliano, P.: P and T wave detection on multichannel ECG using FRI. In: 2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp. 2269–2273 (2014)
Nair, A., Marziliano, P.: Fetal heart rate detection using VPW-FRI. In: 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 4438–4442 (2014)
Tur, R., Eldar, Y.C., Friedman, Z.: Innovation rate sampling of pulse streams with application to ultrasound imaging. IEEE Trans. Sig. Process. 59(4), 1827–1842
Gedalyahu, K., Eldar, Y.C.: Time-delay estimation from low-rate samples: a union of subspaces approach. IEEE Trans. Sig. Process. 58(6), 3017–3031
Bajwa, W.U., Gedalyahu, K., Eldar, Y.C.: Identification of parametric underspread linear systems and super-resolution radar. IEEE Trans. Sig. Process. 59(6), 2548–2561
Gedalyahu, K., Tur, R., Eldar, Y.C.: Multichannel sampling of pulse streams at the rate of innovation. IEEE Trans. Sig. Process. 59(4), 1491–1504
Wei, X., Dragotti, P.L.: Universal sampling of signals with finite rate of innovation. In: 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 1803–1807 (2014)
Blu, T., Dragotti, P., Vetterli, M., Marziliano, P., Coulot, L.: Sparse sampling of signal innovations. IEEE Sig. Process. Mag. 25(2), 31–40 (2008)
Erdozain, A., Crespo, P.M.: Reconstruction of aperiodic FRI signals and estimation of the rate of innovation based on the state space method. Sig. Process. 91(8), 1709–1718 (2011)
Michaeli, T., Eldar, Y.C.: Xampling at the rate of innovation. IEEE Trans. Sig. Process. 60(3), 1121–1133
Tan, V.Y.F., Goyal, V.K.: Estimating signals with finite rate of innovation from noisy samples: a stochastic algorithm. IEEE Trans. Sig. Process. 56(10), 5135–5146
Huang, G., Fu, N., Qiao, L., Cao, J., Fan, C.: A simplified FRI sampling system for pulse streams based on constraint random modulation. IEEE Trans. Circ. Syst. II Express Briefs 65(2), 256–260
Wijenayake, C., Antonir, A., Keller, G., Ignjatović, A.: An adaptive denoising algorithm for improving frequency estimation and tracking. IEEE Trans. Circ. Syst. II Express Briefs 67(1), 172–176
Piccinni, G., Torelli, F., Avitabile, G.: Innovative DOA estimation algorithm based on Lyapunov theory. IEEE Trans. Circ. Syst. II Express Briefs 67(10), 2219–2223
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Chen, L., Huang, G., Wen, C., Lu, W., Zhang, Y. (2022). FRI Sampling for Ultra-wideband Gaussian Pulses Based on Non-ideal LPF. In: Shi, S., Ma, R., Lu, W. (eds) 6GN for Future Wireless Networks. 6GN 2021. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 439. Springer, Cham. https://doi.org/10.1007/978-3-031-04245-4_38
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DOI: https://doi.org/10.1007/978-3-031-04245-4_38
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