Open AccessInnovation rate sampling of non‐ideal piecewise polynomials
Author(s) -
Fu Ning,
Huang Guoxing,
Sun Liwen,
Qiao Liyan
Publication year - 2018
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2018.5485
Subject(s) - piecewise , ideal (ethics) , mathematics , orthogonal polynomials , sampling (signal processing) , pure mathematics , filter (signal processing) , mathematical analysis , computer science , philosophy , epistemology , computer vision
Recent sampling results show that ideal piecewise polynomials can be modelled as finite‐rate‐of‐innovation (FRI) signals and perfectly recovered by spectral estimation. However, there is no any generic FRI model for non‐ideal piecewise polynomials. An FRI model is proposed as an extension of the VPW‐FRI (pulses with variable width) model for non‐ideal piecewise polynomials which have uncertain transition zones near discontinuity points. The derivative of non‐ideal piecewise polynomials as differentiated VPW pulse streams is assumed. The proposed model can be sampled by arbitrary kernels and recovered by a modified annihilating filter. For the extended model, simulation results analyse several factors that affect the model anti‐noise property and verify its superiority of better matching performance for real non‐ideal signals in comparison of the FRI model for ideal piecewise polynomials.