TY - JOUR
T1 - Uniqueness and Robustness of Tem-Based FRI Sampling
AU - Naaman, Hila
AU - Mulleti, Satish
AU - Eldar, Yonina C.
N1 - This research was partially supported by the Israeli Council for Higher Education (CHE) via the Weizmann Data Science Research Center, by a research grant from the Estate of Tully and Michele Plesser, by the European Union’s Horizon 2020 research and innovation program under grant No. 646804-ERC-COG-BNYQ, by the Israel Science Foundation under grant no. 0100101, and by the QuantERA grant C’MON-QSENS.
PY - 2022/8/3
Y1 - 2022/8/3
N2 - In this paper, we study the problem of sampling finite-rate-of-innovation (FRI) signals by using an integrate-and-fire time encoding machine. We consider a Fourier-domain reconstruction approach and design a robust sampling kernel that has a frequency-domain alias cancellation condition and excludes the zero frequency. In the absence of noise, we present theoretical recovery guarantees for FRI signals with arbitrary pulse shapes using our approach. We show that the minimum firing rate is proportional to the rate of innovation of the FRI signal. In the presence of noise, our technique results in 2−10 dB lower error while estimating the FRI parameters compared to existing methods for the same number of measurements.
AB - In this paper, we study the problem of sampling finite-rate-of-innovation (FRI) signals by using an integrate-and-fire time encoding machine. We consider a Fourier-domain reconstruction approach and design a robust sampling kernel that has a frequency-domain alias cancellation condition and excludes the zero frequency. In the absence of noise, we present theoretical recovery guarantees for FRI signals with arbitrary pulse shapes using our approach. We show that the minimum firing rate is proportional to the rate of innovation of the FRI signal. In the presence of noise, our technique results in 2−10 dB lower error while estimating the FRI parameters compared to existing methods for the same number of measurements.
UR - http://www.scopus.com/inward/record.url?scp=85136310965&partnerID=8YFLogxK
U2 - 10.1109/ISIT50566.2022.9834369
DO - 10.1109/ISIT50566.2022.9834369
M3 - مقالة من مؤنمر
SN - 2157-8095
SP - 2631
EP - 2636
JO - 2022 IEEE International Symposium on Information Theory (ISIT)
JF - 2022 IEEE International Symposium on Information Theory (ISIT)
T2 - IEEE International Symposium on Information Theory (ISIT)
Y2 - 26 June 2022 through 1 July 2022
ER -