On Fourier Interpolation Error for Band-Limited Signals
Zhengguang Xu, Benxiong Huang, Kewei Li · IEEE Transactions on Signal Processing · 2009
Fourier interpolation is a useful tool to reconstruct continuous signals from discrete samples. This correspondence derives Fourier interpolation expression from Fourier series for periodic signals and investigates its error expression and upper bound for general band-limited signals. Two numerical examples are given to interpret the meaning of the formulas.