gtsam::FourierBasis Class Reference

Detailed Description

Fourier basis.

Inheritance diagram for gtsam::FourierBasis:

Static Public Member Functions
static Weights	CalculateWeights (size_t N, double x)
	Evaluate Real Fourier Weights of size N in interval [a, b], e.g.
static Weights	CalculateWeights (size_t N, double x, double a, double b)
	Evaluate Real Fourier Weights of size N in interval [a, b], e.g.
static DiffMatrix	DifferentiationMatrix (size_t N)
	Compute D = differentiation matrix.
static Weights	DerivativeWeights (size_t N, double x)
	Get weights at a given x that calculate the derivative.
static Weights	DerivativeWeights (size_t N, double x, double a, double b)
	Get derivative weights at a given x that calculate the derivative, in the interval [a, b].
Static Public Member Functions inherited from gtsam::Basis< FourierBasis >
static Matrix	WeightMatrix (size_t N, const Vector &X)
	Calculate weights for all x in vector X.

Public Types
using	Parameters = Eigen::Matrix<double, -1, 1>
using	DiffMatrix = Eigen::Matrix<double, -1, -1>

Member Function Documentation

CalculateWeights() [1/2]

Weights gtsam::FourierBasis::CalculateWeights ( size_t N, double x )

inlinestatic

Evaluate Real Fourier Weights of size N in interval [a, b], e.g.

N=5 yields bases: 1, cos(x), sin(x), cos(2*x), sin(2*x)

Parameters

N	The degree of the polynomial to use.
x	The point at which to compute the derivaive weights.

Returns

Weights

CalculateWeights() [2/2]

Weights gtsam::FourierBasis::CalculateWeights ( size_t N, double x, double a, double b )

inlinestatic

Evaluate Real Fourier Weights of size N in interval [a, b], e.g.

N=5 yields bases: 1, cos(x), sin(x), cos(2*x), sin(2*x)

Parameters

N	The degree of the polynomial to use.
x	The point at which to compute the weights.
a	Lower bound of interval.
b	Upper bound of interval.

Returns

Weights

DerivativeWeights() [1/2]

Weights gtsam::FourierBasis::DerivativeWeights ( size_t N, double x )

inlinestatic

Get weights at a given x that calculate the derivative.

Parameters

N	The degree of the polynomial to use.
x	The point at which to compute the derivaive weights.

Returns

Weights

DerivativeWeights() [2/2]

Weights gtsam::FourierBasis::DerivativeWeights ( size_t N, double x, double a, double b )

inlinestatic

Get derivative weights at a given x that calculate the derivative, in the interval [a, b].

Parameters

N	The degree of the polynomial to use.
x	The point at which to compute the derivaive weights.
a	Lower bound of interval.
b	Upper bound of interval.

Returns

Weights

DifferentiationMatrix()

DiffMatrix gtsam::FourierBasis::DifferentiationMatrix ( size_t N )

inlinestatic

Compute D = differentiation matrix.

Given coefficients c of a Fourier series c, D*c are the values of c'.

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The documentation for this class was generated from the following file:

• /tmp/gtsam-4.2-docs.H5EUbA/src/gtsam/basis/Fourier.h