Abstract

The real-life signals captured by different measurement systems (such as modern maritime transport characterized by challenging and varying operating conditions) are often subject to various types of noise and other external factors in the data collection and transmission processes. Therefore, the filtering algorithms are required to reduce the noise level in measured signals, thus enabling more efficient extraction of useful information. This paper proposes a locally-adaptive filtering algorithm based on the radial basis function (RBF) kernel smoother with variable width. The kernel width is calculated using the asymmetrical combined-window relative intersection of confidence intervals (RICI) algorithm, whose parameters are adjusted by applying the particle swarm optimization (PSO) based procedure. The proposed RBF-RICI algorithm’s filtering performances are analyzed on several simulated, synthetic noisy signals, showing its efficiency in noise suppression and filtering error reduction. Moreover, compared to the competing filtering algorithms, the proposed algorithm provides better or competitive filtering performance in most considered test cases. Finally, the proposed algorithm is applied to the noisy measured maritime data, proving to be a possible solution for a successful practical application in data filtering in maritime transport and other sectors.

Highlights

  • In today’s world, due to the advances in digital technologies, vast amounts of data are continuously acquired by different measurement systems, covering all fields of human activities

  • In order to investigate the efficiency of the proposed radial basis function (RBF)-relative intersection of confidence intervals (RICI) adaptive filtering algorithm, we have applied it to the several synthetic signals, including Blocks, Bumps, Doppler, HeaviSine, Piece-Regular, and Sing signal

  • The filtering results obtained by the RBF-RICI, the local polynomial approximation (LPA)-RICI, the LPA-intersection of confidence intervals (ICI), and the Savitzky–Golay filtering algorithm applied to the noisy Blocks signal at SNRs of 5, 7, and 10 dB are given in Tables 1–3, respectively

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Summary

Introduction

In today’s world, due to the advances in digital technologies, vast amounts of data are continuously acquired by different measurement systems, covering all fields of human activities. These data are used as input to various algorithms and analysis procedures. The implementation of the existing and the development of the application-specific filtering algorithms for the reconstruction of useful information from the noise-corrupted signals is an important field of scientific research within maritime and transport engineering [8]. The research has been focused on different areas of application, including underwater signal processing [9,10,11,12], radar signal processing [13,14], underwater image processing [15,16,17], optical signal processing [18], and other applications [19,20,21]

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