【摘要】 依照本文提出的带宽有限信号外推的算子D逼近法,利用Taylor展开式对逆算子1/D作逼近,揭示了传统的Papoulis方法收敛慢的本质原因。而采用文中提出的另一新的外推方法——相应于用Tchebycheff展开式逼近逆算子1/D,则可获得快得多的收敛速度。更多还原

【Abstract】 The band-limited function extrapolation can be considered as an approximation problem in operator space, and the Papoulis-Gerchberg method correspones to the case of approximation using Taylor series. A new iterative extrapolation algorithm, based on Lanczos-r approximation, is proposed. Theoretical and numerical analysis show that the new method has a much faster convergence rate than the Papoulis-Gerchberg method.更多还原