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Abstract

Linear symbol level equalisation is used to estimate a transmitted symbol vector x_n⁽⁰⁾ in an nth observation window y_n of signals received from multiple users each using a different spreading code. An iterative conjugate gradient algorithm resolves a column vector z that satisfies Az=b, A being a square matrix and b being a column vector. The matrix vector product Ap_k used in each respective kth iteration of the algorithm is computed using at least one fast transform. The receiver or detector estimates a posterior mean {circumflex over (x)}_LMMSE,n⁽⁰⁾ from the computed column vector z, then utilises the estimated posterior mean to determine the transmitted symbol vector x_n⁽⁰⁾. The posterior mean {circumflex over (x)}_LMMSE,n⁽⁰⁾ may be estimated from matrix A and vector b. Different examples have the square matrix A with an inner or an outer product form; and have the fast transform as a fast Walsh-Hadamard transform and/or a fast (inverse) Fourier transform.

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First Claim