TY - GEN
T1 - Optimal least squares deterministic parameter estimation from a class of block-circulant-with-circulant-block linear model
AU - Wu, Jwo-Yuh
AU - Lee, Ta-Sung
PY - 2006/12/1
Y1 - 2006/12/1
N2 - This paper investigates the least-squares (LS) estimation of unknown deterministic parameters from a standard linear model characterized by a class of block-circulant-with-circulant-block (BCCB) matrix. We propose a method for designing the BCCB system matrix coefficients to minimize the mean square error incurred by the LS estimate, under certain equality and inequality constraints. By exploiting the eigenvalue characteristic of BCCB matrices, precise analysis is undertaken to derive a closed-form solution. The considered optimization problem arises in the study of blind channel estimation for single-carrier block transmission with cyclic prefix; the presented analysis reveals several key features associated with the BCCB family, and shows an original investigation of the BCCB matrix structure for facilitating linear optimal parameter estimation.
AB - This paper investigates the least-squares (LS) estimation of unknown deterministic parameters from a standard linear model characterized by a class of block-circulant-with-circulant-block (BCCB) matrix. We propose a method for designing the BCCB system matrix coefficients to minimize the mean square error incurred by the LS estimate, under certain equality and inequality constraints. By exploiting the eigenvalue characteristic of BCCB matrices, precise analysis is undertaken to derive a closed-form solution. The considered optimization problem arises in the study of blind channel estimation for single-carrier block transmission with cyclic prefix; the presented analysis reveals several key features associated with the BCCB family, and shows an original investigation of the BCCB matrix structure for facilitating linear optimal parameter estimation.
KW - Blind channel estimation
KW - Block circulant matrix with circulant blocks
KW - Circulant matrix
KW - Least squares
KW - Parameter estimation
UR - http://www.scopus.com/inward/record.url?scp=39049167098&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2006.261733
DO - 10.1109/ISIT.2006.261733
M3 - Conference contribution
AN - SCOPUS:39049167098
SN - 1424405041
SN - 9781424405046
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 846
EP - 850
BT - Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006
T2 - 2006 IEEE International Symposium on Information Theory, ISIT 2006
Y2 - 9 July 2006 through 14 July 2006
ER -