Synthesis of Digital Filter Structures with Low Roundoff Noise and Coefficient Sensitivity.
Final rept. 1 Jun 76-30 Nov 78,
RHODE ISLAND UNIV KINGSTON DEPT OF ELECTRICAL ENGINEERING
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Optimal synthesis procedures for second-order state-space digital filters have been developed in the sense of minimum output roundoff noise with L2 scaling. It has been demonstrated that these procedures are also nearly optimal for L at infinity scaling. The coefficient sensitivities have been shown to be closely related to the roundoff-noise components, and hence the optimal designs also have low sensitivity properties. The limit-cycle behavior of state-space structures has been investigated for rounding and for magnitude truncation. It was shown that rounding often leads to large antonomous limit cycles while with magnitude truncation, it is possible to avoid limit cycles altogether. These results are presented in the two papers attached to this report. Author
- Electrical and Electronic Equipment