Lapped Hadamard transforms and filter banks

See May Phoong*, Yuan-Pei Lin

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations


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.

Original languageEnglish
Pages (from-to)509-512
Number of pages4
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
StatePublished - 25 Sep 2003
Event2003 IEEE International Conference on Accoustics, Speech, and Signal Processing - Hong Kong, Hong Kong
Duration: 6 Apr 200310 Apr 2003

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