利用棋盤型取樣網建立之完整回復系統

Constructing a Perfect Reconstruction System by a Quincunx Sampling Grid

本文中作者利用棋盤型的取樣原則，敘述多維空間的訊號在經過刪樣及增樣過程，使得多維空間訊號在分解及組合中，能減少所需要的方程式及變數的數目，並且能夠產生完整回復之多頻、多相位濾波庫系統的充要條件。 In this study, a matrix grid D is used to analyze and synthesize a multidimensional signal comprising an important and useful tool for sublatticed processing in the decomposition and reconstruction of a signal into its polyphase components. Also presented is a filter bank with polyphase components functioning freely as aliases when using a quincunx matrix to specify obligatory and sufficient conditions and to simplify the requisite procedures for determining the number of variables and equations for a perfect reconstruction of an analysis/synthesis system.