On 2011-01-19, Olli Niemitalo wrote:

Find the roots, pair the complex conjugate roots and distribute the pairs and single real roots evenly (how exactly?) in the two filters. Matlab at least has facilities finding roots of large polynomials.

Funny. I would have gone the transform-way. That is, take the impulse response, Fourier transform it into the frequency domain, and then try to figure out how to separate it complex-additively. Perhaps using some standard, l1-minimizing knapsack solver, or something.

Did you notice, btw, that you can read off the polyphase intermediate rates right off the maxima of the baserate impulse response of a filter?
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