Extreme Optimization™: Complexity made simple.

Math and Statistics
Libraries for .NET
  • Home
  • Features
    • Math Library
    • Vector and Matrix Library
    • Statistics Library
    • Performance
    • Usability
  • Documentation
    • Introduction
    • Math Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Reference
  • Resources
    • Downloads
    • QuickStart Samples
    • Sample Applications
    • Frequently Asked Questions
    • Technical Support
  • Blog
  • Order
  • Company
    • About us
    • Testimonials
    • Customers
    • Press Releases
    • Careers
    • Partners
    • Contact us
Introduction
Deployment Guide
Configuration
Using Parallelism
Expand Mathematics Library User's GuideMathematics Library User's Guide
Expand Vector and Matrix Library User's GuideVector and Matrix Library User's Guide
Expand Data Analysis Library User's GuideData Analysis Library User's Guide
Expand Statistics Library User's GuideStatistics Library User's Guide
Expand Data Access Library User's GuideData Access Library User's Guide
Expand ReferenceReference
  • Extreme Optimization
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Configuration
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Data Access Library User's Guide
    • Reference
  • Reference
    • Extreme
    • Extreme.Collections
    • Extreme.Data
    • Extreme.Data.Json
    • Extreme.Data.Matlab
    • Extreme.Data.R
    • Extreme.Data.Stata
    • Extreme.Data.Text
    • Extreme.DataAnalysis
    • Extreme.DataAnalysis.Linq
    • Extreme.Mathematics
    • Extreme.Mathematics.Algorithms
    • Extreme.Mathematics.Calculus
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations
    • Extreme.Mathematics.Curves
    • Extreme.Mathematics.Curves.Nonlinear
    • Extreme.Mathematics.Distributed
    • Extreme.Mathematics.Distributed.Cuda
    • Extreme.Mathematics.EquationSolvers
    • Extreme.Mathematics.FSharp
    • Extreme.Mathematics.Generic
    • Extreme.Mathematics.Generic.LinearAlgebra
    • Extreme.Mathematics.Generic.LinearAlgebra.Implementation
    • Extreme.Mathematics.Generic.LinearAlgebra.Providers
    • Extreme.Mathematics.Generic.SignalProcessing
    • Extreme.Mathematics.Implementation
    • Extreme.Mathematics.LinearAlgebra
    • Extreme.Mathematics.LinearAlgebra.Complex
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions
    • Extreme.Mathematics.LinearAlgebra.Implementation
    • Extreme.Mathematics.LinearAlgebra.IO
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners
    • Extreme.Mathematics.LinearAlgebra.Providers
    • Extreme.Mathematics.LinearAlgebra.Sparse
    • Extreme.Mathematics.Optimization
    • Extreme.Mathematics.Optimization.Genetic
    • Extreme.Mathematics.Optimization.LineSearches
    • Extreme.Mathematics.Random
    • Extreme.Mathematics.SignalProcessing
    • Extreme.Numerics.FSharp
    • Extreme.Statistics
    • Extreme.Statistics.Distributions
    • Extreme.Statistics.IO
    • Extreme.Statistics.Linq
    • Extreme.Statistics.Multivariate
    • Extreme.Statistics.Random
    • Extreme.Statistics.Tests
    • Extreme.Statistics.TimeSeriesAnalysis
  • Extreme.Mathematics
    • AccuracyGoal Structure
    • AlgorithmStatus Enumeration
    • ArrayAttributes Structure
    • ArrayMath Class
    • ArrayMutability Enumeration
    • BigFloat Class
    • BigInteger Structure
    • BigRational Structure
    • CategoricalVector(T) Class
    • Complex(T) Structure
    • ComplexMatrix Class
    • ComplexVector Class
    • Constants Class
    • ConvergenceCriterion Enumeration
    • CoreImplementations Class
    • CoreImplementations(T) Class
    • CoreProvider Class
    • CoreProvider(T) Class
    • DecimalMath Class
    • Dimension Enumeration
    • DimensionMismatchException Class
    • DimensionType Enumeration
    • DistributedDataLocation Enumeration
    • DoubleComparer Class
    • DoubleComplex Structure
    • Elementary Class
    • ElementType(T) Class
    • EquationSolving Class
    • FunctionMath Class
    • GenericCoreProvider(T) Class
    • GenericImplementations Class
    • ICategoricalVector Interface
    • IDistributed Interface
    • InsufficientDataException Class
    • IntegerMath Class
    • Intent Enumeration
    • Interval Structure
    • Interval(T) Structure
    • IPermutable Interface
    • ISummarizable Interface
    • Iterators Class
    • IVector Interface
    • MachineConstants Class
    • ManagedCoreProvider Class
    • ManagedCoreProviderOfSingle Class
    • Math(T) Class
    • Matrix Class
    • Matrix(T) Class
    • MatrixDiagonal Enumeration
    • MatrixElementOrder Enumeration
    • MatrixExtensions Class
    • MatrixNorm Enumeration
    • MatrixOperationSide Enumeration
    • MatrixStructure Enumeration
    • MatrixTriangle Enumeration
    • MutabilityBehaviour Enumeration
    • NumericalDifferentiation Class
    • NumericalIntegration Class
    • NumericsConfiguration Class
    • Operations(T) Class
    • Permutation Class
    • Quad Structure
    • RandomExtensions Class
    • Range Structure
    • RoundingMode Enumeration
    • SingleComparer Class
    • SingleComplex Structure
    • SingleComplexMatrix Class
    • SingleComplexVector Class
    • SingleConstants Class
    • SingleInterval Structure
    • SingleMatrix Class
    • SingleMatrixFiller Delegate
    • SinglePrecisionImplementations Class
    • SingleVector Class
    • SingleVectorFiller Delegate
    • Slice Structure
    • SolutionReport(T) Class
    • SolutionReport(T, TError) Class
    • Special Class
    • SummaryOptions Class
    • SymbolicMath Class
    • TotalLossOfPrecisionException Class
    • TransposeOperation Enumeration
    • TypedVectorWrapper(K, T) Structure
    • Vector Class
    • Vector(T) Class
    • VectorExtensions Class
  • ComplexVector Class
    • ComplexVector Constructors
    • Properties
    • Methods
    • Operators
  • Methods
    • Abs Method
    • AbsoluteMax Method Overloads
    • AbsoluteMaxIndex Method
    • AbsoluteMin Method Overloads
    • AbsoluteMinIndex Method
    • Acos Method
    • Add Method Overloads
    • Apply Method Overloads
    • ApplyInPlace Method
    • AsDenseVector Method
    • AsGeneralVector Method
    • Asin Method
    • Atan Method
    • Clone Method Overloads
    • CloneData Method
    • ComponentwiseConjugateMultiply Method
    • ComponentwiseDivide Method Overloads
    • ComponentwiseMultiply Method Overloads
    • Conjugate Method
    • Convolution Method
    • CopyTo Method Overloads
    • Cos Method
    • Cosh Method
    • Create Method Overloads
    • CreateConstant Method
    • CrossProduct Method
    • CumulativeProduct Method
    • CumulativeSum Method
    • Divide Method
    • DotProduct Method Overloads
    • ElementwiseConjugateMultiply Method
    • ElementwiseDivide Method
    • ElementwiseDivideInPlace Method
    • ElementwiseMultiply Method
    • ElementwiseMultiplyInPlace Method Overloads
    • Equals Method Overloads
    • Exp Method
    • FourierTransform Method
    • GetAmplitude Method
    • GetComponents Method
    • GetEnumerator Method
    • GetHashCode Method Overloads
    • GetImaginaryPart Method
    • GetObjectData Method
    • GetPhase Method
    • GetProduct Method
    • GetRealPart Method
    • GetSubvector Method Overloads
    • GetSum Method
    • GetValue Method
    • InverseFourierTransform Method
    • IsComponentWritable Method
    • IsElementWritable Method
    • Join Method Overloads
    • Log Method Overloads
    • Log10 Method
    • Max Method
    • Min Method
    • Multiply Method Overloads
    • Negate Method
    • Norm Method Overloads
    • Normalize Method
    • NormInternal Method Overloads
    • NormSquared Method
    • OneNorm Method
    • Permute Method Overloads
    • Pow Method Overloads
    • Product Method
    • Project Method
    • Reciprocal Method
    • SetValue Method Overloads
    • ShallowCopy Method
    • Sin Method
    • Sinh Method
    • Sqrt Method
    • Subtract Method Overloads
    • Sum Method
    • Swap Method
    • SwapElements Method
    • Tan Method
    • Tanh Method
    • ToArray Method
    • ToConjugate Method
    • ToDenseVector Method
    • ToGeneralVector Method
    • ToString Method Overloads
    • ToStringInternal Method
    • Zero Method
  • FourierTransform Method
ComplexVectorFourierTransform Method Extreme Optimization Numerical Libraries for .NET Professional
Returns the Fourier transform of a vector.

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax
C#
VB
C++
F#
Copy
public static ComplexDenseVector FourierTransform(
	ComplexVector vector
)
Public Shared Function FourierTransform ( 
	vector As ComplexVector
) As ComplexDenseVector
public:
static ComplexDenseVector^ FourierTransform(
	ComplexVector^ vector
)
static member FourierTransform : 
        vector : ComplexVector -> ComplexDenseVector

Parameters

vector
Type: Extreme.MathematicsComplexVector
A ComplexVector.

Return Value

Type: ComplexDenseVector
A ComplexDenseVector containing the Fourier transform of vector.
Exceptions
ExceptionCondition
ArgumentNullExceptionvector is
Version Information

Numerical Libraries

Supported in: 5.x, 4.x
See Also

Reference

ComplexVector Class
Extreme.Mathematics Namespace

Copyright (c) 2004-2016 ExoAnalytics Inc.

Send comments on this topic to support@extremeoptimization.com

Copyright © 2004-2018, Extreme Optimization. All rights reserved.
Extreme Optimization, Complexity made simple, M#, and M Sharp are trademarks of ExoAnalytics Inc.
Microsoft, Visual C#, Visual Basic, Visual Studio, Visual Studio.NET, and the Optimized for Visual Studio logo
are registered trademarks of Microsoft Corporation.