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Table 1 Description of the LR filters and LR detectors provided by AU-HOSVD for polarimetric STAP

From: Low-rank filter and detector for multidimensional data based on an alternative unfolding HOSVD: application to polarimetric STAP

Partition Filters Detectors Ranks Methods
A 1 ={1,2,3} W ̂ lr ( 1 , 2 , 3 ) Λ ̂ ( 1 , 2 , 3 ) r 123 Vector
A 1 ={1}, A 2 ={2}, A 3 ={3} W ̂ lr ( 1 / 2 / 3 ) Λ ̂ ( 1 / 2 / 3 ) r1, r2, r3 HOSVD
A 1 ={1,2}, A 2 ={3} W ̂ lr ( 1 , 2 / 3 ) Λ ̂ ( 1 , 2 / 3 ) r12, r3 AU-HOSVD
A 1 ={1}, A 2 ={2,3} W ̂ lr ( 1 / 2 , 3 ) Λ ̂ ( 1 / 2 , 3 ) r1, r23 AU-HOSVD
A 1 ={1,3}, A 2 ={2} W ̂ lr ( 1 , 3 / 2 ) Λ ̂ ( 1 , 3 / 2 ) r13, r2 AU-HOSVD