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A novel Multi-channel Iterative Dereverberation (MID) algorithm based on Codebook Constrained Iterative Multi-channel Wiener Filter (CCIMWF) is proposed. We extend the classical iterative wiener filter (IWF) to the multi-channel dereverberation case. The late reverberations are estimated using Long-term Multi-step Linear Prediction (LTMLP). This estimate is used in CCIMWF framework through a doubly iterative formulation. A clean speech VQ codebook is effective for inducing intra-frame constraints and improve the convergence of IWF, thus, a joint-CCIMWF algorithm is proposed for the multi-channel case. The signal to reverberation ratio (SRR) and log spectral distortion (LSD) measures improve through the double-iterations, showing that the algorithm suppresses the effect of late reverberations and improves speech quality and intelligibility. The algorithm also has fair convergence properties through the iterations.