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The Invertible FIR Filter A constraint based on the first coefficient alone is developed as follows: From Cauchy's argument principle any FIR filter that meets the following constraint will be invertible (including marginal invertibility, change $\le$ to $<$ otherwise): \max\left(\arg \left( H(e^{j\omega}) \right)\right)-\min\left(\arg \left( H(e^{j\...

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In general, an $n$-th order IIR filter will have $n$ poles which should all be inside the unit circle for stability. Those poles are equivalently represented as the roots of the characteristic polynomial of the LCCDE that represents the IIR filter. Incidentally, they are also the roots of the forward FIR filter polynomial (which are the zeros of the FIR ...

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I design Chebyshev first and second type filters You are not going to see a lot of effect with this low order filters. If you want to study ripple and attenuation crank it up. What are typical values of maximum ripple in the passband and minimum attenuation in the stopband? I struggle to find optimal value of those parameters. This really depends on ...

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