ScholarLens Back to search
2002•Unpublished venueRequires access

A unified framework for some discrete transformations

Guang Deng, L.W. Cahill, J. Devlin

Open publisher page 0 citations

Abstract

Discrete transforms are used extensively in digital signal processing. The discrete Fourier transform (DFT) and other discrete transforms, such as discrete cosine transform (DCT), discrete Hartley transform (DHT), discrete combination Fourier transform (DCFT), real discrete Fourier transform (RDFT), have also been extensively studied and have a broad range of applications. We provide a unified framework for the above discrete transforms by developing a general discrete transform (GDT). We also propose a generalized discrete Hartley transform and give its most important properties.>

About this research paper

What this paper is about

Discrete transforms are used extensively in digital signal processing. The discrete Fourier transform (DFT) and other discrete transforms, such as discrete cosine transform (DCT), discrete Hartley transform (DHT), discrete combination Fourier transform (DCFT), real discrete Fourier transform (RDFT), have also been extensively studied and have a broad range of applications. We provide a unified framework for the above discrete transforms by developing a general discrete transform (GDT). We also propose a generalized discrete Hartley transform and give its most important properties.>

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Discrete transforms are used extensively in digital signal processing. The discrete Fourier transform (DFT) and other discrete transforms, such as discrete cosine transform (DCT), discrete Hartley transform (DHT), discrete combination Fourier transform (DCFT), real discrete Fourier transform (RDFT), have also been extensively studied and have a broad range of applications. We provide a unified framework for the above discrete transforms by developing a general discrete transform (GDT). We also propose a generalized discrete Hartley transform and give its most important properties.>

Key concepts: Discrete Hartley transform, Discrete sine transform, Discrete Fourier transform (general), Discrete cosine transform, Hartley transform, Non-uniform discrete Fourier transform, Fractional Fourier transform, Lapped transform

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
A unified framework for some discrete transformations — Research Paper | ScholarLens