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A Unified Approach to Fourier-Clifford-Prometheus Sequences, Transforms and Filter Banks

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Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 136))

Abstract

In this paper we develop a new unified approach to the so-called generalized Fourier-Clifford-Prometheus sequences, transforms (FCPTs) and M-channel Filter Banks. It is based on a new generalized FCPT-generating construction. This construction has a rich algebraic structure that supports a wide range of fast algorithms.

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© 2004 Kluwer Academic Publishers

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L.-Rundblad, E., Labunets, V., Nikitin, I. (2004). A Unified Approach to Fourier-Clifford-Prometheus Sequences, Transforms and Filter Banks. In: Byrnes, J. (eds) Computational Noncommutative Algebra and Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 136. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2307-3_14

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  • DOI: https://doi.org/10.1007/1-4020-2307-3_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1982-1

  • Online ISBN: 978-1-4020-2307-1

  • eBook Packages: Springer Book Archive

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