Patent ID: 7154969

Claim:
A method for shared estimation of a plurality of transmission channel parameters for use of determining an error-vector magnitude, the plurality of transmission channel parameters with an error vector e(k) describing the relationship between a digitally modulated reference signal s(k) inputted to a transmission channel and a received receiver signal z(k) which is at a receiving end of the transmission channel, where k is a symbol number, said method comprising the steps of: inputting the reference signal s(k) at a transmitting end of the transmission channel and receiving the received receiver signal z(k) at the receiving end of the transmission channel; forming the error vector e(k) in dependence of the plurality of transmission channel parameters, the reference signal s(k), and the receiver signal z(k); linearizing the error vector e(k); substituting each real parameter of the linearized error vector through a corresponding real component of an estimation vector {circumflex over (x)} to obtain a form of e ⁢ ( k ) = ∑ i = 1 7 ⁢ x i · f i ⁢ ( k ) - s ⁢ ( k ) wherein the real components of the estimation vector {circumflex over (x)} is defined as a real estimation value vector x=(x 1 x 2 x 3 x 4 x 5 x 6 x 7 ) r , x i is the i th real parameter of the real estimation vector x, f i (k) is the i th function corresponding to x i , and i=1–7; inserting the form e ⁢ ( k ) = ∑ i = 1 7 ⁢ x i · f i ⁢ ( k ) - s ⁢ ( k ) into a cost function, L ⁢ ( x ~ ) = ∑ K ⁢  e ~ ⁡ ( k )  2 wherein K is a symbol number within an evaluation area; and determining the estimation vector {circumflex over (x)} through gradient development of the cost function and subsequently setting the gradient to zero.