Title
Data Denoising Based on Hadamard Matrix Transformation and Rayleigh Quotient Maximization: Application to GNSS Signal Classification
Abstract
Global navigation satellite system (GNSS) signal type classification based on machine learning is an effective way to improve urban positioning performance. However, GNSS signal type features extracted are unrelated, and the number of features is limited, referred to as nonlocal- and few-feature issues, which limits the classification performance. This article presents a new data denoising theory to boost the classification performance based on concepts of Hadamard matrix transformation and Rayleigh quotient maximization. Hadamard matrix transformation increases the distance between different classes, i.e., interclass distance, by projecting the data into a new space, thereby increasing the classification performance. To improve the signal-to-noise ratio (SNR) of features, we maximize the Rayleigh quotient of the interclass distance. The proposed denoising approach is, in particular, effective for nonlocal- and few-feature signals. We applied the proposed data denoising theory to the GNSS signal type classification problem. Results indicate that GNSS signal type classification performance (microaveraging recall, i.e., Recall(mu)) can be improved by about 5% similar to 10% in a static test. For the dynamic test, about 1.5% similar to 3.5% improvement is achieved.
Year
DOI
Venue
2022
10.1109/TIM.2022.3184357
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
Keywords
DocType
Volume
Classification, data denoising, global navigation satellite system (GNSS), multipath (MP), non-line-of-sight (NLOS) signal, reversible transformation
Journal
71
ISSN
Citations 
PageRank 
0018-9456
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Yue Jiang146124.58
Bin Xu213323.23
Li-Ta Hsu301.35