Complex Orthogonal Designs with Forbidden 2 × 2 Submatrices

نویسندگان

  • Yuan Li
  • Haibin Kan
چکیده

Complex orthogonal designs (CODs) are used to construct space-time block codes. COD Oz with parameter [p, n, k] is a p × n matrix, where nonzero entries are filled by ±zi or ±z ∗ i , i = 1, 2, . . . , k, such that O H z Oz = (|z1| 2 + |z2| 2 + . . . + |zk| )In×n. Define Oz an M-type COD if and only if Oz does not contain submatrix (

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Complex Orthogonal Designs with Forbidden $2 \times 2$ Submatrices

Complex orthogonal designs (CODs) are used to construct space-time block codes. COD Oz with parameter [p, n, k] is a p × n matrix, where nonzero entries are filled by ±zi or ±z ∗ i , i = 1, 2, . . . , k, such that O H z Oz = (|z1| 2 + |z2| 2 + . . . + |zk| )In×n. Define Oz a first type COD if and only if Oz does not contain submatrix (

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عنوان ژورنال:
  • IEEE Trans. Information Theory

دوره 58  شماره 

صفحات  -

تاریخ انتشار 2012