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Method and apparatus for singular value decomposition of a channel matrix

  • US 20060245513A1
  • Filed: 03/29/2006
  • Published: 11/02/2006
  • Est. Priority Date: 04/01/2005
  • Status: Active Grant
First Claim
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1. In a wireless communication system including a transmitter having a plurality of transmit antennas and a receiver having a plurality of receive antennas, a method of decomposing a channel matrix H into a U matrix, a V matrix and a DH matrix such that H=UDHVH using a singular value decomposition (SVD), DH being a diagonal matrix comprising singular values of the matrix H, the superscript H denoting a Hermitian transpose, the method comprising:

  • (a) generating a channel matrix H for channels between the transmit antennas and the receive antennas;

    (b) creating a Hermitian matrix A, the matrix A being defined as one of HHH and HHH, depending on the dimensions of the channel matrix H;

    (c) cyclically performing at least one sweep of a Jacobi process on the matrix A to obtain Q and DA matrices such that A=QDAQH, DA being a diagonal matrix obtained by SVD on the matrix A; and

    (d) calculating the U matrix, the V matrix and the DH matrix from the Q matrix and the DA matrix.

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