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- W1978970319 abstract "We propose a representation of the derivitive (phi) ' of any general polynomial (phi) of degree N in terms of Q equals N + 1 given parameters: t<SUB>1</SUB>,...,t<SUB>Q</SUB>. This representation allows us to express the derivative as a linear comination of q arbitrary ratios of [(phi) (t + (tau) <SUB>(kappa</SUB> )) - (phi) (t - (tau) <SUB>(kappa</SUB> ))]/(tau) <SUB>(kappa</SUB> ) calculated at q arbitrary points (tau) <SUB>1</SUB>,...,(tau) <SUB>q</SUB>, where q denotes the integer part of (N + 1)/2. The coefficients appearing in this decomposition are independent of the polynomial coefficients. As an application, we give a formula that allows us to compute (phi) '(t) without using the coefficients of the polynomial (phi) (t) and establish a property of the polynomial Wigner-Ville distribution." @default.
- W1978970319 created "2016-06-24" @default.
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- W1978970319 date "1995-06-07" @default.
- W1978970319 modified "2023-09-23" @default.
- W1978970319 title "<title>Polynomial Wigner-Ville distributions</title>" @default.
- W1978970319 cites W1991354183 @default.
- W1978970319 doi "https://doi.org/10.1117/12.211426" @default.
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