mrtk_lambda.h File Reference

MRTKLIB Integer Ambiguity Resolution Module — LAMBDA method. More...

#include "mrtklib/mrtk_foundation.h"

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Functions
int	lambda (int n, int m, const double *a, const double *Q, double *F, double *s)
	Integer least-square estimation (LAMBDA/MLAMBDA).
int	lambda_reduction (int n, const double *Q, double *Z)
	LAMBDA reduction for integer least-squares.
int	lambda_search (int n, int m, const double *a, const double *Q, double *F, double *s)
	MLAMBDA search for integer least-squares.

Detailed Description

MRTKLIB Integer Ambiguity Resolution Module — LAMBDA method.

This header provides functions for integer least-squares estimation using the LAMBDA (Least-squares AMBiguity Decorrelation Adjustment) method and the modified LAMBDA (MLAMBDA) search algorithm.

Note

Functions declared here are implemented in mrtk_lambda.c.

References: [1] P.J.G.Teunissen, The least-square ambiguity decorrelation adjustment: a method for fast GPS ambiguity estimation, J.Geodesy, Vol.70, 65-82, 1995 [2] X.-W.Chang, X.Yang, T.Zhou, MLAMBDA: A modified LAMBDA method for integer least-squares estimation, J.Geodesy, Vol.79, 552-565, 2005

Definition in file mrtk_lambda.h.

Function Documentation

lambda()

int lambda	(	int	n,
		int	m,
		const double *	a,
		const double *	Q,
		double *	F,
		double *	s )

Integer least-square estimation (LAMBDA/MLAMBDA).

Reduction is performed by LAMBDA (ref.[1]), and search by MLAMBDA (ref.[2]).

Parameters

[in]	n	Number of float parameters
[in]	m	Number of fixed solutions
[in]	a	Float parameters (n x 1)
[in]	Q	Covariance matrix of float parameters (n x n)
[out]	F	Fixed solutions (n x m)
[out]	s	Sum of squared residuals of fixed solutions (1 x m)

Returns

Status (0: ok, other: error)

Note

Matrix stored by column-major order (Fortran convention).

Definition at line 225 of file mrtk_lambda.c.

References eye(), free, LD(), mat(), matmul(), reduction(), search(), solve(), and zeros().

Referenced by gen_msm_sig(), resamb_LAMBDA(), resamb_LAMBDA(), and resamb_LAMBDA().

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lambda_reduction()

int lambda_reduction	(	int	n,
		const double *	Q,
		double *	Z )

LAMBDA reduction for integer least-squares.

Performs decorrelation reduction on the covariance matrix using the LAMBDA method (ref.[1]).

Parameters

[in]	n	Number of float parameters
[in]	Q	Covariance matrix of float parameters (n x n)
[out]	Z	LAMBDA reduction matrix (n x n)

Returns

Status (0: ok, other: error)

Definition at line 263 of file mrtk_lambda.c.

References free, LD(), mat(), reduction(), and zeros().

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lambda_search()

int lambda_search	(	int	n,
		int	m,
		const double *	a,
		const double *	Q,
		double *	F,
		double *	s )

MLAMBDA search for integer least-squares.

Performs the modified LAMBDA search algorithm (ref.[2]) for integer least-squares estimation.

Parameters

[in]	n	Number of float parameters
[in]	m	Number of fixed solutions
[in]	a	Float parameters (n x 1)
[in]	Q	Covariance matrix of float parameters (n x n)
[out]	F	Fixed solutions (n x m)
[out]	s	Sum of squared residuals of fixed solutions (1 x m)

Returns

Status (0: ok, other: error)

Definition at line 302 of file mrtk_lambda.c.

References free, LD(), mat(), search(), and zeros().

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