September 2003
Intermediate to advanced
709 pages
26h 51m
English
Content preview from Digital Arithmetic
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Compensation of Scaling Factor 619
11 =3
Error analysis have been performed to bound the total error. 9 This analysis is
used to determine the number of bits required to obtain a desired precision.
Compensation of Scaling Factor
If a perfect rotation is required (in rotation mode) or if the modulus is required
(in vectoring mode), it is necessary to compensate for the scaling factor K. The
following compensation methods have been proposed:
9 The most direct method is to multiply by 1/K. Moreover, since K is a
constant, the multiplication can be simplified by taking advantage of the
zeros in the representation of 1/K. Recoding can ...
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