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In the previous section, it was shown that using a shorter reshaping filter than conventionally used increases the robustness of all considered equalization techniques against RIR perturbations.
For all considered equalization techniques, the reshaping filter solving (9) is computed by minimizing the (weighted) least-squares cost function J_{text{LS}} = |mathbf{W} (hat{mathbf{H}}mathbf{g} - mathbf{c}_{mathrm{d}}) |_{2}^{2}.
In Section 6.3, the performance of all considered equalization techniques using the intrusively determined reshaping filter length (L^{text {opt}}_{g}) is compared for several acoustic systems and RIR perturbation levels.
For the acoustic systems described in Table 4 and for all considered equalization techniques, the conventionally used filter length is (L^{mathrm {t}}_{g} =left lceil {frac {L_{h}-1}{M-1}}right rceil ), i.e., (L^{mathrm {t}}_{g} = 1947) for system S1, (L^{mathrm {t}}_{g} = 1627) for system S2, and (L^{mathrm {t}}_{g} = 960) for system S3.
The considered equalization architecture is illustrated in Figure 4 and is described by, r_{i}(n)=;[!boldsymbol{phi}_{i}(boldsymbol{y}_{M}(n))]^{T}{{boldsymbol{w}}_{i}}, (12) Figure 4 Multicarrier equalization (EQ) architecture: K carriers are simultaneously processed at the receiver.
In addition, it is demonstrated that PMINT using the optimal intrusively determined reshaping filter length outperforms the other considered equalization techniques, yielding a larger reverberant energy suppression and perceptual speech quality improvement.
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