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A method for the minimisation of the bias in closed-loop system identification is presented. This is achieved using all-pass filters with time-varying poles within the forward path, which aims at decorrelating the input and the output signal. An analysis of the proposed method and expressions for the input-output correlation in the steady state are provided. Comprehensive simulations are given to support the proposed approach whereby misalignment curves are compared to those obtained with the use of simple delays.