Lapped Hadamard transforms and filter banks
Journal
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Journal Volume
6
Pages
509-512
Date Issued
2003
Author(s)
Lin, Yuan-Pei
Abstract
In this paper, we generalize the Hadamard transform to the case of lapped transform. A matrix A(z) is a lapped Hadamard transform if it satisfies A/sup T/(z/sup -1/)A(z)=/spl alpha/I for some integer /spl alpha/ and all the entries of its coefficient matrices are /spl plusmn/1. Many methods have been proposed to construct lapped Hadamard matrices. In this paper, we study these matrices using the theory of paraunitary filter bank. This approach not only greatly simplifies the analysis of lapped Hadamard transform but also gives rise to new construction methods that can generate a much wider class of lapped Hadamard matrices.
Type
conference paper
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