Application of unimodular matrices to signal compression

See May Phoong*, Yuan-Pei Lin

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


In the past decade, the application of orthonormal or paraunitary (PU) matrices to subband coding has drawn considerably attention. In this paper, we will study signal compression using unimodular matrices. Like PU matrices, unimodular matrices have FIR inverse. However, unimodular matrices do not have the energy preservation property. Applying unimodular matrices to subband coding is not always a good choices as quantization noise might be amplified and coding gain can be less than one. We introduce a new structure for unimodular coders. The new structure consists of a closed-loop vector DPCM structure followed by a transform coder. Using such a structure, it is shown that the coding gain of unimodular coders is never less than 1. Simulation example shows that despite having the smallest system delay, unimodular coders have a better performance than subband coding with the same complexity for AR(1) input.

Original languageEnglish
Article number1009971
Pages (from-to)837-840
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
StatePublished - 26 May 2002
Event2002 IEEE International Symposium on Circuits and Systems - Phoenix, AZ, United States
Duration: 26 May 200229 May 2002

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