Abstract

In order to reduce the roundoff noise and to enhance the dynamic range of general digital filters their flow graph matrix can be changed with transformation matrices. To do so, a suitable matrix representation of the filter is introduced and the constraints for the transformation matrices for a transfer function invariant alteration are listed. After that, a procedure of noise reduction on the basis of the introduced matrices is presented. As an example a block digital filter with 3 in- and outputs is used, for which the roundoff noise could be improved from 9.8 dB to 4.0 dB with the given method.

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