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2010•Electronics LettersRequires access

Sequency-ordered discrete Hartley transform

Saad Bouguezel, M.O. Ahmad, M.N.S. Swamy

Open publisher page 2 citations

Abstract

A novel sequency-ordered discrete Hartley transform (SO-DHT) of an arbitrary length is proposed by introducing a systematic ordering of the rows of the DHT matrix, so that the resulting transform matrix has the sign changes of its entries similar to that of the discrete cosine transform (DCT) matrix. The experiments carried out show that the shape of the spectrum of the new SO-DHT is very similar to that of the DCT, especially from the point of view of energy compaction.

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What this paper is about

A novel sequency-ordered discrete Hartley transform (SO-DHT) of an arbitrary length is proposed by introducing a systematic ordering of the rows of the DHT matrix, so that the resulting transform matrix has the sign changes of its entries similar to that of the discrete cosine transform (DCT) matrix. The experiments carried out show that the shape of the spectrum of the new SO-DHT is very similar to that of the DCT, especially from the point of view of energy compaction.

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Available abstract

A novel sequency-ordered discrete Hartley transform (SO-DHT) of an arbitrary length is proposed by introducing a systematic ordering of the rows of the DHT matrix, so that the resulting transform matrix has the sign changes of its entries similar to that of the discrete cosine transform (DCT) matrix. The experiments carried out show that the shape of the spectrum of the new SO-DHT is very similar to that of the DCT, especially from the point of view of energy compaction.

Key concepts: Discrete Hartley transform, Discrete cosine transform, Discrete sine transform, Hartley transform, Discrete Fourier transform (general), Mathematics, Matrix (chemical analysis), Lapped transform

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