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- W2000854151 abstract "In this paper, we will present the optimum interpolation functions minimizing various measures of approximation error simultaneously. For an ordinary interpolatory approximation using sample values of a band-limited signal and a FIR filterbank system having analysis filters H<SUB>m</SUB>((omega) ) (m equals 0,1,...,M - 1), we outline necessary formulation for the time-limited interpolation functions (psi) <SUB>m</SUB>(t) realizing the optimum approximation in each limited block separately. Further, under some assumptions, we will present analytic or piece-wise analytic interpolation functions (phi) <SUB>m</SUB>(t) minimizing various measures of approximation error defined at discrete time samples t<SUB>n</SUB> equals n (n equals 0,+/- 1,+/- 2,...). In this discussion, (phi) <SUB>m</SUB>(n) are equal to (psi) <SUB>m</SUB>(n) (n equals 0,+/- 1,+/- 2,...). Since (phi) <SUB>m</SUB>(t) are time-limited, (phi) <SUB>m</SUB>(n) vanish outside of the finite set of n. Hence, one can use FIR filters if one wants to realize discrete synthesis filters which impulse responses are (phi) <SUB>m</SUB>(n)." @default.
- W2000854151 created "2016-06-24" @default.
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- W2000854151 date "1999-09-30" @default.
- W2000854151 modified "2023-10-04" @default.
- W2000854151 title "<title>Extended discrete approximation minimizing many measures of error simultaneously</title>" @default.
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- W2000854151 doi "https://doi.org/10.1117/12.364123" @default.
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