Testing for a Random Walk Structure in the Frequency Evolution of a Tone in Noise

Autor:	Abramson, S. E., Moran, W., Evans, R. J., Melatos, A.
Rok vydání:	2021
Předmět:	Electrical Engineering and Systems Science - Signal Processing
Zdroj:	Sensors 2022, 22(16), 6103
Druh dokumentu:	Working Paper
DOI:	10.3390/s22166103
Popis:	Inference and hypothesis testing are typically constructed on the basis that a specific model holds for the data. To determine the veracity of conclusions drawn from such data analyses, one must be able to identify the presence of the assumed structure within the data. In this paper, a model verification test is developed for the presence of a random walk-like structure in the variations in the frequency of complex-valued sinusoidal signals measured in additive Gaussian noise. This test evaluates the joint inference of the random walk hypothesis tests found in economics literature that seek random walk behaviours in time series data, with an additional test to account for how the random walk behaves in frequency space. Comment: 25 pages, 14 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.03459 Zobrazit plný text záznamu View this record from Arxiv