Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Frequency Estimation from Compressed Measurements of a Sinusoid in MA Colored Noise

Version 1 : Received: 2 July 2021 / Approved: 5 July 2021 / Online: 5 July 2021 (12:30:21 CEST)

A peer-reviewed article of this Preprint also exists.

Alwan, N.A.S.; Hussain, Z.M. Frequency Estimation from Compressed Measurements of a Sinusoid in Moving-Average Colored Noise. Electronics 2021, 10, 1852. Alwan, N.A.S.; Hussain, Z.M. Frequency Estimation from Compressed Measurements of a Sinusoid in Moving-Average Colored Noise. Electronics 2021, 10, 1852.

Journal reference: Electronics 2021, 10, 1852
DOI: 10.3390/electronics10151852

Abstract

Frequency estimation of a single sinusoid in colored noise has received a considerable amount of attention in the research community. Taking into account the recent emergence and advances in compressive covariance sensing (CCS), the aim of this work is to combine the two disciplines by studying the effects of compressed measurements of a single sinusoid in moving-average (MA) colored noise on its frequency estimation accuracy. CCS techniques can recover the second-order statistics of the original uncompressed signal from the compressed measurements, thereby enabling correlation-based frequency estimation of single tones in colored noise using higher-order lags. Acceptable accuracy is achieved for moderate compression ratios and for a sufficiently large number of available compressed signal samples. It is expected that the proposed method would be advantageous in applications involving resource-limited systems such as wireless sensor networks.

Subject Areas

Frequency estimation; compressive covariance sensing; linear sparse ruler; least squares; colored noise.

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