Interpolation of nonuniformly decimated signals via sampled-data H∞ optimization

In this paper, we consider signal interpolation of discrete-time signals which are decimated nonuniformly. A conventional interpolation method is based on the sampling theorem, and the resulting system consists of an ideal filter with complex coefficients. On the other hand we adopt sampled-data H^∞ optimization, which can take account of intersample behavior, and the optimal filter with real coefficients is obtained. An example shows the effectiveness of our method. By examples, we also show that there is the optimal decimation pattern.