
arXiv: 2307.10509
This paper introduces an adaptive filtering process based on shrinking wavelet coefficients from the corresponding signal wavelet representation. The filtering procedure considers a threshold method determined by an iterative algorithm inspired by the control charts application, which is a tool of the statistical process control (SPC). The proposed method, called SpcShrink, is able to discriminate wavelet coefficients that significantly represent the signal of interest. The SpcShrink is algorithmically presented and numerically evaluated according to Monte Carlo simulations. Two empirical applications to real biomedical data filtering are also included and discussed. The SpcShrink shows superior performance when compared with competing algorithms.
19 pages, 10 figures, 2 tables
Signal Processing (eess.SP), FOS: Computer and information sciences, FOS: Physical sciences, Mathematics - Statistics Theory, Numerical Analysis (math.NA), Statistics Theory (math.ST), Methodology (stat.ME), Physics - Data Analysis, Statistics and Probability, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Mathematics - Numerical Analysis, Electrical Engineering and Systems Science - Signal Processing, Statistics - Methodology, Data Analysis, Statistics and Probability (physics.data-an)
Signal Processing (eess.SP), FOS: Computer and information sciences, FOS: Physical sciences, Mathematics - Statistics Theory, Numerical Analysis (math.NA), Statistics Theory (math.ST), Methodology (stat.ME), Physics - Data Analysis, Statistics and Probability, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Mathematics - Numerical Analysis, Electrical Engineering and Systems Science - Signal Processing, Statistics - Methodology, Data Analysis, Statistics and Probability (physics.data-an)
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 143 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 1% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 1% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 1% |
