Methods and apparatus for sub-block based architecture of cholesky decomposition and channel whitening

An apparatus that parallel processes sub-block matrices (R00, R10, and R11) of a covariance matrix (R) to determine a whitening coefficient matrix (W), the apparatus comprising:

• a first lower triangle matrix and diagonal matrix (LDL, coefficient calculator that calculates a first whitening matrix W00, lower triangle matrix L00, and diagonal matrix D00 from the sub-block matrix R00;
• a first matrix calculator that calculates a lower triangle matrix L10 from the sub-block matrix R10 and the matrices L00 and D00;
• a second matrix calculator that calculates a matrix X from the matrices D00 and L10;
• a matrix subtractor that calculates a matrix Z from the matrix X and the sub-block matrix R11;
• a second LDL coefficient calculator that calculates a third whitening matrix W11, lower triangle matrix L11, and a diagonal matrix D11 from the matrix Z;
• and
• a third matrix calculator that calculates a second whitening matrix W10 from the matrices L00, L10, L11, and D11.

An apparatus that parallel processes sub-block matrices (R00, R10, and R11) of a covariance matrix (R) to determine a whitening coefficient matrix (W), the apparatus comprising:

• means for calculating a first whitening matrix W00, lower triangle matrix L00, and diagonal matrix D00 from the sub-block matrix R00;
• means for calculating a lower triangle matrix L10 from the sub-block matrix R10 and the matrices L00 and D00;
• means for calculating a matrix X from the matrices D00 and L10;
• means for calculating a matrix Z from the matrix X and the sub-block matrix R11;
• means for calculating a third whitening matrix W11, lower triangle matrix L11, and a diagonal matrix D11 from the matrix Z;
• and
• means for calculating a second whitening matrix W10 from the matrices L00, L10, L11, and D11.