A normalized digital filter structure

Alfred Gray, John D. Markel · IEEE Transactions on Acoustics Speech and Signal Processing · 1975

A normalized digital filter structure is presented, based upon an orthonormal polynomial expansion. This structure is recursively designed, has several predictable stability properties in the presence of time-varying parameters, and appears to have roundoff noise properties which are superior to other known filter structures, particularly in the presence of clustered poles. Each section of the filter can be precisely implemented by one complex multiply.

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