TR2008-071

On the Temporal Evolution of Signal Subspaces in Vehicular MIMO Channels in the 5 GHz Band


    •  Mecklenbrauker, C.F., Paier, A., Zemen, T., Matz, G., Molisch, A.F., "On the Temporal Evolution of Signal Subspaces in Vehicular MIMO Channels in the 5 GHz band", COST 2100 Meeting, October 2008.
      BibTeX TR2008-071 PDF
      • @inproceedings{Mecklenbrauker2008oct2,
      • author = {Mecklenbrauker, C.F. and Paier, A. and Zemen, T. and Matz, G. and Molisch, A.F.},
      • title = {On the Temporal Evolution of Signal Subspaces in Vehicular MIMO Channels in the 5 GHz band},
      • booktitle = {COST 2100 Meeting},
      • year = 2008,
      • month = oct,
      • url = {https://www.merl.com/publications/TR2008-071}
      • }
  • Research Area:

    Communications

Abstract:

We study the temporal evolution of the singular value decomposition of vehicular 4 X 4 MIMO channel measurements H(t)in the 5.2 GHz band for a selected single OFDM sub-carrier. First, we estimate the number of relevant singular values p(t), 0 less-than p(t) less-than 4 for each sampling time t by applying the minimum descriptive length (MDL) criterion. The MDL criterion is used here as an estimate for the time-variant dimension p(t) of the dominant "signal" subspace. Then we characterize the dynamics of the estimated dominant singular subspaces by the principal angles between the corresponding subspaces at times t and t + delta where delta is the channel sounder's MIMO channel acquisition period which defines the resolution in the Doppler domain. These principle angles are closely related to covariances and measures of dependency. When principal angles are evaluated for pairs of column spaces of matrices, the principal angles describe canonical correlations of a matrix pair. Ultimately, we wish to describe the evolution of the dominant singular vectors as trajectories in the (complex) Stiefel manifold Vp(t),4 and the corresponding evolution of the dominanant subspaces as trajectories in the (complex) Grassmann manifold Gp(t),4.

 

  • Related News & Events

    •  NEWS    JWCC 2008: publication by MERL researchers and others
      Date: October 26, 2008
      Where: Joint Workshop on Coding and Communications (JWCC)
      Research Area: Communications
      Brief
      • The paper "On the Temporal Evolution of Signal Subspaces in Vehicular MIMO Channels in the 5GHz band" by Mecklenbrauker, C.F., Paier, A., Zemen, T., Matz, G. and Molisch, A.F. was presented at the Joint Workshop on Coding and Communications (JWCC).
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    •  NEWS    COST 2100 Meeting 2008: 2 publications by MERL researchers and others
      Date: October 6, 2008
      Where: COST 2100 Meeting
      Brief
      • The papers "On the Temporal Evolution of Signal Subspaces in Vehicular MIMO Channels in the 5 GHz band" by Mecklenbrauker, C.F., Paier, A., Zemen, T., Matz, G. and Molisch, A.F. and "Description of Vehicle-to-Vehicle and Vehicle-to-Infrastructure Radio Channel Measurements at 5.2GHz" by Paier, A., Karedal, J., Zemen, T., Czink, N., Dumard, C., Tufvesson, F., Mecklenbrauker, C.F. and Molisch, A.F. were presented at the COST 2100 Meeting.
    •  
  • Related Publication

  •  Mecklenbrauker, C.F., Paier, A., Zemen, T., Matz, G., Molisch, A.F., "On the Temporal Evolution of Signal Subspaces in Vehicular MIMO Channels in the 5 GHz band", Joint Workshop on Coding and Communications (JWCC), October 2008.
    BibTeX CiteSeerX
    • @inproceedings{Mecklenbrauker2008oct1,
    • author = {Mecklenbrauker, C.F. and Paier, A. and Zemen, T. and Matz, G. and Molisch, A.F.},
    • title = {On the Temporal Evolution of Signal Subspaces in Vehicular MIMO Channels in the 5 GHz band},
    • booktitle = {Joint Workshop on Coding and Communications (JWCC)},
    • year = 2008,
    • month = oct,
    • url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.2128}
    • }