Lapped unimodular transform and its factorization

See May Phoong*, Yuan-Pei Lin

*Corresponding author for this work

研究成果: Article

18 引文 斯高帕斯(Scopus)

摘要

Two types of lapped transforms have been studied in detail in the literature, namely, the lapped orthogonal transform (LOT) and its extension, the biorthogonal lapped transform (BOLT). In this paper, we will study the lapped unimodular transform (LUT). All three transforms are first-order matrices with finite impulse response (FIR) inverses. We will show that like LOT and BOLT, all LUTs can be factorized into degree-one unimodular matrices. The factorization is both minimal and complete. We will also show that all first-order systems with FIR inverses can be minimally factorized as a cascade of degree-one LOT, BOLT, and LUT building blocks. Two examples will be given to demonstrate that despite having a very small system delay, the LUTs have a satisfactory performance in comparison with LOT and BOLT.

原文English
頁(從 - 到)2695-2701
頁數7
期刊IEEE Transactions on Signal Processing
50
發行號11
DOIs
出版狀態Published - 1 十一月 2002

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