Abstract: A dynamic programming filter which provides estimates of the first and second derivative of empirical displacement data is investigated numerically. This filter uses a weighted least squares ...

Abstract: The methods of dynamic programming and generalized crossvalidation are used to estimate the acceleration of bone motion using skin-mounted accelerometers. Numerical experiments are performed to ...

Abstract: A dynamic programming filter is derived to estimate the first and second derivatives of empirical data. A series of numerical experiments are conducted using a known differentiable function with ...

Abstract: Smoothing and differentiation of noisy data using spline functions requires the selection of an unknown smoothing parameter. The method of generalized cross-validation provides an excellent estimate ...