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Revision of argumentation for linear phase
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filter_design/window_method.ipynb

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"h_d[k] = h_d^*[-k]\n",
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"\\end{equation}\n",
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"due to the symmetry relations of the DTFT. If the desired impulse response has large values around $k=0$, removal of the anti-causal part by windowing will result in large deviations between the desired transfer function and the designed filter. Such filters cannot be realized very well by simple windowing of the desired impulse response. This observation motivates to replace the zero-phase by a linear-phase in such situations in order to shift the large values of the desired impulse response to the center of the window. This is illustrated in the following."
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"due to the symmetry relations of the DTFT. Removal of the anti-causal part by windowing will result in large deviations between the desired transfer function and the designed filter. Hence, zero-phase filters cannot be realized very well by simple windowing of the desired impulse response. This observation motivates to shift the desired impulse response to the center of the window in order to limit the effect of windowing. This can be achieved by replacing the zero-phase with a linear-phase, as illustrated in the following."
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