A Computationally Efficient Schnorr-Euchner Enumeration for Solving Integer Least-Squares Problem in Wireless Communications

2017 ◽  
Vol E100.A (1) ◽  
pp. 327-331
Author(s):  
Junil AHN ◽  
Jaewon CHANG ◽  
Chiho LEE
Keyword(s):  
Wireless Communications ◽  
Least Squares ◽  
Computationally Efficient ◽  
Least Squares Problem ◽  
Integer Least Squares

A General Solution to the Rank Deficient Integer Least Squares and its Application to GNSS Positioning

2021 ◽  
Author(s):  
Giulio Tagliaferro
Keyword(s):  
General Solution ◽  
Least Squares ◽  
Ad Hoc ◽  
Ionospheric Delay ◽  
Least Squares Problem ◽  
Specific Solution ◽  
Gnss Positioning ◽  
Integer Least Squares ◽  
Estimation Problems ◽  
Gnss Data

<p>The contribution will present a general solution for the estimation of rank deficient integer parameters. A procedure will be presented that allows the computation of integer estimable function for any integer rank deficient least squares problem. The procedure is then applied to GNSS estimation problems. In the framework of undifferenced and uncombined GNSS models, the specific solution to some rank deficient integer least squares model will be presented, namely: the choice of pivot ambiguities in a network of receivers, GLONASS positioning, codeless positioning in the presence of ionospheric delay, satellite specific pseudorange biases estimation in the presence of ionospheric delay. It will been shown how the developed theory generalize previous results and ad hoc solutions present in the literature. Numerical results from real GNSS data will be presented too.</p>

scholarly journals Lossless Dimension Reduction for Integer Least Squares With Application to Sphere Decoding

2020 ◽  
Vol 68 ◽  
pp. 6547-6561
Author(s):  
Mohammad Neinavaie ◽  
Mostafa Derakhtian ◽  
Sergiy A. Vorobyov
Keyword(s):  
Dimension Reduction ◽  
Least Squares ◽  
Sphere Decoding ◽  
Integer Least Squares

Predicting Force Redistributions on Walking Robots for Reliable Locomotion: Modeling and Experiments

1992 ◽  
Author(s):  
Peter V. Nagy ◽  
Subhas Desa ◽  
William L. Whittaker
Keyword(s):  
Least Squares ◽  
Least Squares Method ◽  
Walking Robots ◽  
Ground Contact ◽  
Walking Robot ◽  
Computationally Efficient ◽  
The Face ◽  
Modeling And Experiments ◽  
Stable Gait

Abstract A large number of walking robots walk with a statically-stable gait. A statically-stable walker has at least three feet that are in ground contact at any time. If there are more than three feet in ground contact, the normal (vertical) forces exerted by the ground on the feet of the walker are indeterminate, unless they are measured. Some walking robots may walk with more than three legs in ground contact in order to achieve greater stability. To ensure this stability it is desirable to predict how vertical forces passively redistribute underneath the feet during walker motions. Predictions of future foot forces can be used as a basis for accepting or rejecting any planned walker motion. Two methods — the least-squares method and the compliance method — for predicting this redistribution of forces in the face of static indeterminacy are presented in this work. Both methods are computationally efficient, and give reasonably accurate predictions, as verified by experiments on a walking robot.

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