Patent ID: 7142594

Claim:
A linear equalization method for a linear dispersive channel with known channel characteristics, characterized by y ⁡ ( n ) = ∑ k = - L 1 L 2 ⁢ α k ⁢ x ⁡ ( n - k ) + e ⁡ ( n ) , comprising the steps of: (a) constructing a vector from received signals as follows: Y ( n )=[ y ( n−L 1 ), y ( n−L 1 +1), . . . , y ( n ), . . . ,( n ), . . . , y ( n+L 2 −1), y ( n+L 2 )] T ; (b) computing a weight vectors as follows: w =Σ Y −1 (μ Y 1 −μ Y 2 ) where μ X 1 = [ 0 , … ⁢ , 0 ︸ L 1 ⁢ ⁢ zeros , 1 , 0 , … ⁢ , 0 ︸ L 2 ⁢ ⁢ zeros ] T , ⁢ μ X 2 = [ 0 , … ⁢ , 0 ︸ L 1 ⁢ ⁢ zeros , - 1 , 0 , … ⁢ , 0 ︸ L 2 ⁢ ⁢ zeros ] T , Σ X 1 =I−μ X 1 μ X 1 T , μ Y 1 =Aμ X 1 , μ Y 2 =Aμ X 2 , Σ Y =AΣ X 1 A T +σ e 2 I , A = [ a - L 1 a - L 1 + 1 … a L 2 - 1 a L 2 … 0 0 0 0 a - L 1 a - L 1 + 1 … a L 2 - 1 a L 2 … 0 0 … … … … … … … … … 0 0 … a - L 1 a - L 1 + 1 … a L 2 - 1 a L 2 0 0 0 0 … a - L 1 a - L 1 + 1 … a L 1 - 1 a L 21 ⁢ ] , I is an identity matrix, and σ e 2 is the noise power; and (c) determining a received signal according to the following rule: if w T Y(n)>0, then decide that state 1 is transmitted, if w T Y(n)<0, then decide that state −1 is transmitted.