Journal on Communications ›› 2013, Vol. 34 ›› Issue (10): 100-105.doi: 10.3969/j.issn.1000-436x.2013.10.012

• Academic paper • Previous Articles     Next Articles

Noncoherent unitary space-time design base on Grassmann manifold

Da-wei FU,Li PENG,Li-jiao WANG,Qiu-ping PENG   

  1. Wuhan National Laboratory for Optoelectronics,Department of Electronic and Information Engineering,Huazhong University of Science and Technology,Wuhan 430074,China
  • Online:2013-10-25 Published:2017-08-10
  • Supported by:
    The National Natural Science Foundation of China

Abstract:

A novel search technique was presented for designing noncoherent unitary space-time constellation.First of all,a unitary matrix framework based on Grassmann manifold was defined.Under the constraint of this framework,a dis-tance threshold was set by using the existing minimum Frobenius norm of optimal packing distribution on the Grassmann manifold,and the points were searched for whose minimum chordal Frobenius norm exceeds the threshold by changing the amplitude and phase of every entry in the unitary matrix.At last,the whole unitary space-time constellation with minimum chordal Frobenius norm maximum was gotten.Numerical simulations indicate that this new constellation perfor better than the present codes.

Key words: space-time code, constellation, Grassmann manifold, unitary matrix, hreshold

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