Title :
Effective Channel Order Estimation Based on Nullspace Structure and Exponential Fit
Author :
Gabet, Joshua D. ; Bojanczyk, Adam W.
Author_Institution :
Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA
Abstract :
The selection criteria for the order of a single-input multiple-output (SIMO) channel generally use the singular values of the estimated least squares matrix. Using these values ignores important information that can be obtained from the nullspace of the least squares matrix. The nullspace has a structured basis that can be utilized to quantify the quality of channel coefficient estimates. These quantities cluster in the nullspace and spread in the signal space, when compared to the singular values. A simple exponential curve fit is used to further improve the estimate of the effective channel order. The new criterion outperforms other known criteria in a wide variety of scenarios at both high and low SNR.
Keywords :
channel estimation; least squares approximations; matrix algebra; SIMO channel; channel order estimation; exponential curve fit; least squares matrix; nullspace structure; signal space; single-input multiple-output channel; singular values; Blind equalizers; Communication channels; Data communication; Delay; Eigenvalues and eigenfunctions; Hydrogen; Intersymbol interference; Least squares approximation; Least squares methods; Physical layer; Blind channel estimation; effective channel order determination; single-input multiple-output (SIMO) systems;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2010.2052358
