In this paper, we generalize the Hadamard transform to the the case of lapped transform. A matrix A (z) is a lapped Hadamard transform if it satisfies AT(z-1)A(z) = αI for some integer α and all the entries of its coefficient matrices are ±1. Many methods have been proposed to construct lapped Hadamard matrices. In this paper, we will 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.
|Number of pages||4|
|Journal||ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings|
|State||Published - 25 Sep 2003|
|Event||2003 IEEE International Conference on Accoustics, Speech, and Signal Processing - Hong Kong, Hong Kong|
Duration: 6 Apr 2003 → 10 Apr 2003