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Uniqueness and Robustness of Tem-Based FRI Sampling
Journal
IEEE International Symposium on Information Theory - Proceedings
ISSN
21578095
Date Issued
2022-01-01
Author(s)
Naaman, Hila
Mulleti, Satish
Eldar, Yonina C.
Abstract
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.
Volume
2022-June
Subjects