Title

SYNTHESIS OF STATE-SPACE DIGITAL FILTERS WITH LOW ROUNDOFF NOISE AND COEFFICIENT SENSITIVITY.

Document Type

Article

Date of Original Version

1-1-1977

Abstract

Sufficient conditions are derived for a second-order state-space digital filter with L//2 scaling to be optimal with respect to output round-off noise; and from these, a simple synthesis procedure is developed. Parallel-form designs produced by this method are equivalent to the block-optimal designs of C. T. Mullis and R. A. Roberts. The corresponding cascade-form designs are not equivalent, but they are shown by example to be quite close in performance. It is also shown that the coefficient sensitivities of this structure are closely related to its noise performance.

Publication Title

Proceedings - IEEE International Symposium on Circuits and Systems

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