2004•Unpublished venueRequires access

Fourier Transforms

Hamish D. Meikle

Abstract

This chapter contains sections titled: From Fourier Series to Fourier Transform Fourier Series Period of Integration for a Fourier Series Fourier Transform Inverse Transform Three of the Conventions for Fourier Transforms Fourier Transforms and Spatial Spirals Properties of Fourier Transforms Addition, Subtraction, and Scaling – Linearity Multiplication of Transforms Division Differentiation Moments Special Functions used for Fourier Transforms Summary of Fourier Transform Properties Examples of Fourier Transforms Cosine and Sine Waveforms Rectangular Pulse Triangular Pulse Ramp Pulse Gaussian Pulse Unequally Spaced Samples

About this research paper

What this paper is about

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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

Key concepts: Sine and cosine transforms, Fourier sine and cosine series, Fourier transform, Fourier inversion theorem, Fractional Fourier transform, Fourier series, Discrete Fourier series, Discrete-time Fourier transform