Abstract
Techniques for the separate/joint optimization of error-feedback and realization are developed to minimize the roundoff noise subject to l 2-norm dynamic-range scaling constraints for a class of 2-D state-space digital filters. In the joint optimization, the problem at hand is converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained problem obtained is then solved by applying an efficient quasi-Newton algorithm. A numerical example is presented to illustrate the utility of the proposed techniques.
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Hinamoto, T., Oumi, T. & Lu, WS. Separate/joint optimization of error feedback and realization for roundoff noise minimization in a class of 2-D state-space digital filters. Multidim Syst Sign Process 18, 327–339 (2007). https://doi.org/10.1007/s11045-007-0033-0
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DOI: https://doi.org/10.1007/s11045-007-0033-0