Joint pre- and post-filter design for decimation-interpolation systems with applications to television pictures

Abstract

The author discusses the design of pre- and post-filters for a system where down-sampling (decimation) is followed by up-sampling (interpolation). This is called a decimation-interpolation system. Some important properties of decimation-interpolation systems are discussed. A theoretical result is presented where necessary and sufficient conditions are given to eliminate frequency aliasing. Based on this theoretical result, an iterative two-step joint pre- and post-filter design algorithm is presented which implicitly suppresses aliasing. Characteristics of the design method are discussed along with some examples.<>