Patent ID: 11879986
Assignee: ZHEJIANG UNIVERSITY
Field: Measurement (Instruments)
Classification: CPC G | IPC G

Claim 4:
5. The three-dimensional co-prime cubic array direction-of-arrival estimation method based on a cross-correlation tensor according to claim 1, wherein in step (6), CANDECOMP/PARAFAC decomposition is carried out on the four-dimensional virtual domain signal tensor  to obtain factor matrixes Bx=[bx(μ1), bx(μ2), . . . bx(μK)], By=[by(ν1), by(νz), . . . , by(νK)], Bz=[bz(ω1), bz(ω2), . . . , bz(ωK)] and C=[c(μ1,ν1,ω1), c(μ2,ν2,ω2), . . . , c(μK,νK,ωK)], wherein, CANDECOMP/PARAFAC decomposition of the four-dimensional virtual domain signal tensor  follows a uniqueness condition as follows: rank(Bx)+rank(By)+rank(Bz)+rank(C)≥2K+3,
wherein, rank(⋅) represents a Kruskal rank of a matrix, and rank(Bx)=min (3−+1, K), rank(By)=min(3−M−1, K), rank(Bz)=min(3−+1, K), rank(C)=min(2, K), min (⋅) represents an operation of taking a minimum value; when spatial smoothing is not introduced to process the deduced four-dimensional virtual domain signal tensor , a uniqueness inequation of the above CANDECOMP/PARACFAC decomposition is established.