Roundoff noise (RN) is known to exist in digital filters and systems under finite-precision operations and can become a critical factor for severe performance degradation in IIR filters and systems. Two classes of methods are available for RN reduction or minimization - one uses state-space coordinate transformation, the other uses error feedback of state variables. In this paper, we propose a method for the joint optimization of error feedback and state-space realization. It is shown that the problem at hand can be solved in an unconstrained optimization setting. With a closed-form formula for gradient evaluation and an efficient quasi-Newton solver, the unconstrained minimization problem can be solved efficiently.


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    Title :

    Jointly optimized error-feedback and realization for roundoff noise minimization in state-space digital filters


    Contributors:
    Wu-Sheng Lu, (author) / Hinamoto, T. (author)


    Publication date :

    2003-01-01


    Size :

    367566 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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