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Quick Estimation of Periodic Signal Parameters from One-bit Measurements

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posted on 17.06.2021, 14:01 by Paolo Carbone

Estimation of periodic signals, based on quantized data, is a topic of general interest in the area of instrumentation and measurement. While several methods are available, new applications require low-power, low-complexity, and adequate estimation accuracy. In this paper, we consider the simplest possible quantization, that is binary quantization, and describe a technique to estimate the parameters of a sampled periodic signal, using a fast algorithm. By neglecting the possibility that the sampling process is triggered by some signal-derived event, sampling is assumed to be asynchronous, that is the ratio between the signal and the sampling periods is defined to be an irrational number. To preserve enough information at the quantizer output, additive Gaussian input noise is assumed as the information encoding mechanism. With respect to published techniques addressing the same problem, the proposed approach does not rely on the numerical estimation of the maximum likelihood function, but provides solutions that are very closed to this estimate. At the same time, since the main estimator is based on matrix inversion, it proves to be less time-consuming than the numerical maximization of the likelihood function, especially when solving problems with a large number of parameters. The estimation procedure is described in detail and validated using both simulation and experimental results. The estimator performance limitations are also highlighted.

Funding

RIN 2015C37B25 by the Italian Ministry of Instruction, University and Research (MIUR)

History

Email Address of Submitting Author

paolo.carbone@unipg.it

ORCID of Submitting Author

0000-0003-0540-1287

Submitting Author's Institution

University of Perugia

Submitting Author's Country

Italy

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