標題: Lapped unimodular transform and its factorization
作者: Phoong, SM
Lin, YP
電控工程研究所
Institute of Electrical and Control Engineering
關鍵字: filterbank;polynomial;matrix;transform;unimodular matrix
公開日期: 1-Nov-2002
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.
URI: http://dx.doi.org/10.1109/TSP.2002.804093
http://hdl.handle.net/11536/28429
ISSN: 1053-587X
DOI: 10.1109/TSP.2002.804093
期刊: IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume: 50
Issue: 11
起始頁: 2695
結束頁: 2701
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