The invention discloses a parallel LLL high-dimensional
ambiguity decorrelation algorithm. The
algorithm includes: firstly, the calculating efficiency of the LLL
algorithm aiming to high-dimensional
ambiguity decorrelation is improved and the ability of high-dimensional
ambiguity decorrelation is enhanced by mixed adoption of Cholesky lower triangular LTL
decomposition and an upper triangular UTU
decomposition; secondly, in order to obtain a Z
transformation matrix with high decorrelation ability, in each
QR decomposition transformation process, a transformation
coefficient matrix needs to obtain a smaller integer value so that before each time of lower
triangular decomposition, row vectors of an ambiguity
covariance matrix are in an ascending order according to the inner products, and column vectors of the matrix are arranged in a descending order according to the inner products before the upper
triangular decomposition, in this way, the Z transformation decorrelation performance is better; and finally, the
rounding operation of the algorithm in an
orthogonal transformation process is shifted to the operation process of the Z matrix, error accumulation caused by repeated
rounding operation in the algorithm
iteration process can be avoided, the problem of algorithm
divergence is solved, and the calculating efficiency and stability of the parallel LLL algorithm can be further improved.