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2018•Unpublished venueRequires access

Relationship between the Cosine Integer Transform and the Mapped Real Transform

Rajesh Cherian Roy

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Abstract

The Discrete Fourier Transform is a fundamental transform used in digital signal processing. Due to the real-to-complex nature of this transform, attempts have been made to arrive at transforms with simpler structures that avoid real-to-complex conversion. The Cosine Integer Transform and the M-dimensional Real Transform are two such transforms. This paper presents a relationship between these two recent transforms.

About this research paper

What this paper is about

The Discrete Fourier Transform is a fundamental transform used in digital signal processing. Due to the real-to-complex nature of this transform, attempts have been made to arrive at transforms with simpler structures that avoid real-to-complex conversion. The Cosine Integer Transform and the M-dimensional Real Transform are two such transforms. This paper presents a relationship between these two recent transforms.

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Available abstract

The Discrete Fourier Transform is a fundamental transform used in digital signal processing. Due to the real-to-complex nature of this transform, attempts have been made to arrive at transforms with simpler structures that avoid real-to-complex conversion. The Cosine Integer Transform and the M-dimensional Real Transform are two such transforms. This paper presents a relationship between these two recent transforms.

Key concepts: Discrete Hartley transform, Discrete cosine transform, Hartley transform, Discrete Fourier transform (general), Lapped transform, Discrete sine transform, Fractional Fourier transform, S transform

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