Construction of Quaternion-Valued Wavelets

Authors

  • Mawardi Bahri

DOI:

https://doi.org/10.11113/matematika.v26.n.553

Abstract

In this paper, we introduce quaternion-valued wavelets in the context of the duplex matrix-valued function. We then formulate quaternion scaling and wavelet functions using quaternion multiresolution analysis (QMRA).With these formulations, we obtain coefficients of highpass and lowpass filters of QMRA. Keywords: Quaternion-valued wavelets; quaternion multiresolution analysis; highpass and lowpass filters.

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Published

01-06-2010

Issue

Volume 26 (June 2010)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Construction of Quaternion-Valued Wavelets. (2010). MATEMATIKA, 26, 107-114. https://doi.org/10.11113/matematika.v26.n.553