https://scholars.lib.ntu.edu.tw/handle/123456789/298429
Title: | Lapped unimodular transform and its factorization | Authors: | SEE-MAY PHOONG Lin, Y.-P. |
Keywords: | Filterbank; Polynomial matrix; Transform; Unimodular matrix | Issue Date: | 2002 | Journal Volume: | 50 | Journal Issue: | 11 | Start page/Pages: | 2695-2701 | Source: | IEEE Transactions on Signal Processing | Abstract: | 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://www.scopus.com/inward/record.url?eid=2-s2.0-0036844083&partnerID=MN8TOARS http://scholars.lib.ntu.edu.tw/handle/123456789/298429 |
ISSN: | 1053587X | DOI: | 10.1109/TSP.2002.804093 | SDG/Keyword: | Filterbank; Lapped unimolar transform; Polynomial matrix; Frequency response; Matrix algebra; Optimization; Polynomials; Theorem proving; Vectors; Signal processing |
Appears in Collections: | 電信工程學研究所 |
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