Spectral Analysis - Maple Application Center
Application Center Applications Spectral Analysis

Spectral Analysis

Author
: Paul Goossens
Engineering software solutions from Maplesoft
This Application runs in Maple. Don't have Maple? No problem!
 Try Maple free for 15 days!
In the Maple 6 worksheet, The Mathematics of Synthesizers, we saw how we can create arbitrary waveforms using Fourier Series of sine waves in Maple. This worksheet shows how Maple can be used to perform the reverse analysis. That is, import a signal and then extract the component sine waves. The tool for doing this is called the Fast Fourier Transform (FFT). This is an intensely numeric process and illustrates Maple's handling of numerics at the hardware level through the use of the evalhf() function and hfarrays. The hfarray is a special array type that allows you to handle numeric data at the hardware level, thus dramatically speeding up purely numeric operations.

Application Details

Publish Date: July 11, 2001
Created In: Maple 6
Language: English

More Like This

Classroom Tips and Techniques: Locus of Eigenvalues
Classroom Tips and Techniques: Solving Algebraic Equations by the Dragilev Method
Curve Fitting with Maple
Comparison of Multivariate Optimization Methods

Classroom Tips and Techniques: Teaching Fourier Series with Maple - Part 2
Classroom Tips and Techniques: Numeric Solution of a Two-Point BVP
The orthogonal series expansions package for Maple
NEWTON's Method in Comparison with the Fixed Point Iteration
Classroom Tips and Techniques:Teaching Fourier Series with Maple - Part 3
Classroom Tips and Techniques: Diffusion with a Generalized Robin Condition
Classroom Tips and Techniques: Partial Derivatives by Subscripting