On a set of matrix algebras related to discrete Hartley-type transforms

A set of fast real transforms including the well known Hartley transform is fully investigated. Mixed radix splitting properties of Hartley-type transforms are examined in detail. The matrix algebras diagonalized by the Hartley-type matrices are expressed in terms of circulant and (−1)-circulant mat...

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Bibliographic Details
Published in:Linear algebra and its applications 2003-06, Vol.366, p.65-85
Main Authors: Bortoletti, Alessandro, Fiore, Carmine Di
Format: Article
Language:English
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Summary:A set of fast real transforms including the well known Hartley transform is fully investigated. Mixed radix splitting properties of Hartley-type transforms are examined in detail. The matrix algebras diagonalized by the Hartley-type matrices are expressed in terms of circulant and (−1)-circulant matrices.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(02)00500-1