Title :
Propagation of orthogonality error for frans algorithm
Author :
Yang, Lu ; Attallah, Samir ; Mathew, George ; Abed-Meraim, Karim
Author_Institution :
Dept. of ECE, Nat. Univ. of Singapore, Singapore
Abstract :
In this paper, we analyze the propagation of orthogonality error for fast Rayleighpsilas quotient based adaptive noise subspace algorithm (FRANS). First, we examine the propagation of orthogonality error for the numerically unstable FRANS in the mean and in the mean-square sense. Then, numerically stable FRANS with householder transformation (HFRANS) is studied through simulation as an improvement to FRANS. Numerical examples are provided to demonstrate the validity of the proposed error propagation models.
Keywords :
Rayleigh channels; error analysis; mean square error methods; FRANS algorithm; adaptive noise subspace algorithm; fast Rayleigh quotient; householder transformation; mean-square methods; orthogonality error propagation; Adaptive estimation; Algorithm design and analysis; Computational complexity; Costs; Covariance matrix; Eigenvalues and eigenfunctions; Gaussian noise; Random processes; Roundoff errors; Stability;
Conference_Titel :
Signal Processing and Its Applications, 2007. ISSPA 2007. 9th International Symposium on
Conference_Location :
Sharjah
Print_ISBN :
978-1-4244-0778-1
Electronic_ISBN :
978-1-4244-1779-8
DOI :
10.1109/ISSPA.2007.4555482
