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A high-pass or low-pass filter's purpose is to reduce or eliminate spectral information content in portions of the stop-band. Therefore, depending on the frequency (near or at a zero), some spectral information will no longer exist in the result (or perhaps be reduced to numerical noise). An inverse filter that attempts to correctly re-create some original ...


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the inverse filter has a pole at z=-1. A high pass filter has a zero at $z=1$ hence the inverse should have the pole at $z=1$. Both high pass and inverse high pass should have unity gain at $z=-1$, But yes, the inverse is unstable. in that case, how can i design such a digital filter so that it is stable and gives me the same response as expected, In ...


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