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• Fast Fourier Transforms

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Fast Fourier Transforms (FFT's)

Whether you're using C#, Visual Basic (VB.NET), F#, IronPython, the Extreme Optimization Numerical Libraries for .NET make it easy to include FFT functionality in your .NET applications. The Extreme Optimization Numerical Libraries for .NET are a complete math, vector/matrix and statistics package for the Microsoft .NET framework. FFT features include:

• Real 1D and 2D Fast Fourier Transform.
• Complex 1D and 2D Fast Fourier Transform.
• Special code for factors 2, 3, 4, 5, 7 and 11.
• Real and complex convolution.
• Choice of managed and native (32bit and 64bit) implementations.

Fast Fourier Transform classes

The classes that implement the Fast Fourier Transform functionality live in the Extreme.Mathematics.SignalProcessing namespace. The principal classes are:

• FftProvider Provides access to a specific FFT implementation.
• Fft Represents a one-dimensional (1D) discrete Fourier Transform implementation.
• Fft2D Represents a two-dimensional (2D) discrete Fourier Transform implementation.
• ComplexConjugateSignalMatrix Represents a complex matrix that is the Fourier transform of a real matrix.
• ComplexConjugateSignalVector Represents a complex vector that is the Fourier transform of a real vector.

The Signal Processing section of the Mathematics Library User's Guide explains their use in detail.

Fast Fourier Transforms QuickStart Samples

Our library comes with a large number of QuickStart samples that help you to get started in minutes. The following samples illustrate how to use the FFT functionality:

Project	Description	View source
FourierTransforms Updated!	Illustrates how to compute the discrete Fourier transform of real and complex signals.	C#	VB.NET	F#

Trial version

If you would like to evaluate the Extreme Optimization Numerical Libraries for .NET, you can download a free, fully functional 60-day trial version. In addition to the code samples discussed here, it includes about 70 other samples as well as complete documentation for the entire library.