Patent ID: 6678318
Filing Date: 2004-01-13
Classification: H04L

Abstract:
A method of generating coefficients for performing time domain equalization on a digital multitone signal comprising a plurality of symbols received from a transmitter over a communication channel, said method comprising the steps of:(1) synchronizing said received digital multitone signal to a corresponding signal that was transmitted from said transmitter prior to inclusion of any channel response; (2) determining time domain equalization coefficients, aopt, for a TEQ filter via â€ƒ(RxyTRxxâˆ’1Rxyâˆ’Ryy)aopt=r2âˆ’(RxyTRxxâˆ’1r1)oraopt=(RxyTRxxâˆ’1Rxyâˆ’Ryy)âˆ’1(r2âˆ’RxyTRxxâˆ’1r1)âˆ’, â€ƒwhere Rxx(k)=E{x(n)x(n+k)}=Rxx(âˆ’k) Rxy(k)=E{x(n)y(n+k)}=Ryx(âˆ’k) Ryy(k)=E{y(n)y(n+k)}=Ryy(âˆ’k) â€ƒE{ } in the equations above represents a generalized averaging function or an ensemble average â€ƒand r=E&it;{y&af;(n)&it;W&af;(n)}=[r1r2]â€ƒwhere W(n)=[x(n) x(nâˆ’1) x(nâˆ’2) . . . x(nâˆ’(Lâˆ’1))y(nâˆ’1) y(nâˆ’2) . . . y(nâˆ’(Kâˆ’1)]T L is the length of a cyclic prefix K is the length of the TEQ filter T represents a transpose function; and (3) time domain equalizing said received signal using said coefficients determined in step (2).