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OPTIMAL BEAM PATTERN DESIGN FOR VERY LARGE SENSOR ARRAYS WITH SPARSE SAMPLING
OPTIMAL BEAM PATTERN DESIGN VERY LARGE SENSOR ARRAYS SPARSE SAMPLING
2015/9/29
Consider a large scale sensor array having N sensors that monitors a surveillance area. Using all sensors simultaneously may be unreasonable in terms of power consumption and data processing.For examp...
Generalized wordtype pattern for nonregular factorial designs with multiple groups of factors
wordtype pattern nonregular factorial designs multiple groups of factors
2015/3/20
For a regular 2(l1+l2)−k design D containing l1 Group I factors and l2 Group II factors, let Ai1,i2(D) be the number of words in the defining contrast subgroup containing i1 Group I factors and ...
On Pattern Avoiding Alternating Permutations
alternating permutation pattern avoidance generating tree
2014/6/3
An alternating permutation of length n is a permutation π = π1π2...πn such that π1 < π2 > π3 < π4 >.... Let An denote the set of alternating permutations of {1, 2,..., n}, and let An(σ) be the set of ...
Ordered Partitions Avoiding a Permutation Pattern of Length 3
pattern avoidance ordered partition descent
2014/6/3
An ordered partition of [n]={1, 2,..., n} is a partition whose blocks are endowed with a linear order. Let OPn,k be set of ordered partitions of [n] with k blocks and OPn,k(σ) be set of ordered partit...
The Formation and Coarsening of the Concertina Pattern
Concertina Pattern Formation Coarsening
2011/7/7
The concertina is a magnetization pattern in elongated thin-film elements of a soft material. It is a ubiquitous domain pattern that occurs in the process of magnetization reversal in direction of the...
Permutation Tableaux and the Dashed Permutation Pattern 32–1
Permutation tableaux dashed permutation patten
2014/6/3
We give a solution to a problem posed by Corteel and Nadeau concerning permutation tableaux of length n and the number of occurrences of the dashed pattern 32–1 in permutations on [n]. We introduce th...